Numerical Quantum Dynamics

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Numerical Quantum Dynamics

Author : W. Schweizer
Publisher : Springer Science & Business Media
ISBN 13 : 0306476177
Total Pages : 267 pages
Book Rating : 4.3/5 (64 download)

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Book Synopsis Numerical Quantum Dynamics by : W. Schweizer

Download or read book Numerical Quantum Dynamics written by W. Schweizer and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is an indisputable fact that computational physics form part of the essential landscape of physical science and physical education. When writing such a book, one is faced with numerous decisions, e. g. : Which topics should be included? What should be assumed about the readers’ prior knowledge? How should balance be achieved between numerical theory and physical application? This book is not elementary. The reader should have a background in qu- tum physics and computing. On the other way the topics discussed are not addressed to the specialist. This work bridges hopefully the gap between - vanced students, graduates and researchers looking for computational ideas beyond their fence and the specialist working on a special topic. Many imp- tant topics and applications are not considered in this book. The selection is of course a personal one and by no way exhaustive and the material presented obviously reflects my own interest. What is Computational Physics? During the past two decades computational physics became the third fun- mental physical discipline. Like the ‘traditional partners’ experimental physics and theoretical physics, computational physics is not restricted to a special area, e. g. , atomic physics or solid state physics. Computational physics is a meth- ical ansatz useful in all subareas and not necessarily restricted to physics. Of course this methods are related to computational aspects, which means nume- cal and algebraic methods, but also the interpretation and visualization of huge amounts of data.

Quantum Dynamics with Trajectories

Author : Robert E. Wyatt
Publisher : Springer Science & Business Media
ISBN 13 : 0387281452
Total Pages : 425 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Quantum Dynamics with Trajectories by : Robert E. Wyatt

Download or read book Quantum Dynamics with Trajectories written by Robert E. Wyatt and published by Springer Science & Business Media. This book was released on 2006-05-28 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a rapidly developing field to which the author is a leading contributor New methods in quantum dynamics and computational techniques, with applications to interesting physical problems, are brought together in this book Useful to both students and researchers

Quantum Dynamics for Classical Systems

Author : Fabio Bagarello
Publisher : John Wiley & Sons
ISBN 13 : 1118400607
Total Pages : 186 pages
Book Rating : 4.1/5 (184 download)

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Book Synopsis Quantum Dynamics for Classical Systems by : Fabio Bagarello

Download or read book Quantum Dynamics for Classical Systems written by Fabio Bagarello and published by John Wiley & Sons. This book was released on 2012-10-11 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces number operators with a focus on the relationship between quantum mechanics and social science Mathematics is increasingly applied to classical problems in finance, biology, economics, and elsewhere. Quantum Dynamics for Classical Systems describes how quantum tools—the number operator in particular—can be used to create dynamical systems in which the variables are operator-valued functions and whose results explain the presented model. The book presents mathematical results and their applications to concrete systems and discusses the methods used, results obtained, and techniques developed for the proofs of the results. The central ideas of number operators are illuminated while avoiding excessive technicalities that are unnecessary for understanding and learning the various mathematical applications. The presented dynamical systems address a variety of contexts and offer clear analyses and explanations of concluded results. Additional features in Quantum Dynamics for Classical Systems include: Applications across diverse fields including stock markets and population migration as well as a unique quantum perspective on these classes of models Illustrations of the use of creation and annihilation operators for classical problems Examples of the recent increase in research and literature on the many applications of quantum tools in applied mathematics Clarification on numerous misunderstandings and misnomers while shedding light on new approaches in the field Quantum Dynamics for Classical Systems is an ideal reference for researchers, professionals, and academics in applied mathematics, economics, physics, biology, and sociology. The book is also excellent for courses in dynamical systems, quantum mechanics, and mathematical models.

Computational Strong-Field Quantum Dynamics

Author : Dieter Bauer
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110419343
Total Pages : 355 pages
Book Rating : 4.1/5 (14 download)

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Book Synopsis Computational Strong-Field Quantum Dynamics by : Dieter Bauer

Download or read book Computational Strong-Field Quantum Dynamics written by Dieter Bauer and published by Walter de Gruyter GmbH & Co KG. This book was released on 2017-04-24 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate textbook introduces the com-putational techniques to study ultra-fast quantum dynamics of matter exposed to strong laser fields. Coverage includes methods to propagate wavefunctions according to the time dependent Schrödinger, Klein-Gordon or Dirac equation, the calculation of typical observables, time-dependent density functional theory, multi configurational time-dependent Hartree-Fock, time-dependent configuration interaction singles, the strong-field approximation, and the microscopic particle-in-cell approach. Contents How to propagate a wavefunction? Calculation of typical strong-field observables Time-dependent relativistic wave equations: Numerics of the Dirac and the Klein-Gordon equation Time-dependent density functional theory The multiconfiguration time-dependent Hartree-Fock method Time-dependent configuration interaction singles Strong-field approximation and quantum orbits Microscopic particle-in-cell approach

From Quantum to Classical Molecular Dynamics

Author : Christian Lubich
Publisher : European Mathematical Society
ISBN 13 : 9783037190678
Total Pages : 164 pages
Book Rating : 4.1/5 (96 download)

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Book Synopsis From Quantum to Classical Molecular Dynamics by : Christian Lubich

Download or read book From Quantum to Classical Molecular Dynamics written by Christian Lubich and published by European Mathematical Society. This book was released on 2008 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum dynamics of molecules poses a variety of computational challenges that are presently at the forefront of research efforts in numerical analysis in a number of application areas: high-dimensional partial differential equations, multiple scales, highly oscillatory solutions, and geometric structures such as symplecticity and reversibility that are favourably preserved in discretizations. This text addresses such problems in quantum mechanics from the viewpoint of numerical analysis, illustrating them to a large extent on intermediate models between the Schrodinger equation of full many-body quantum dynamics and the Newtonian equations of classical molecular dynamics. The fruitful interplay between quantum dynamics and numerical analysis is emphasized.

Molecular Spectroscopy and Quantum Dynamics

Author : Roberto Marquardt
Publisher : Elsevier
ISBN 13 : 0128172355
Total Pages : 376 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Molecular Spectroscopy and Quantum Dynamics by : Roberto Marquardt

Download or read book Molecular Spectroscopy and Quantum Dynamics written by Roberto Marquardt and published by Elsevier. This book was released on 2020-09-18 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Molecular Spectroscopy and Quantum Dynamics, an exciting new work edited by Professors Martin Quack and Roberto Marquardt, contains comprehensive information on the current state-of-the-art experimental and theoretical methods and techniques used to unravel ultra-fast phenomena in atoms, molecules and condensed matter, along with future perspectives on the field. Contains new insights into the quantum dynamics and spectroscopy of electronic and nuclear motion Presents the most recent developments in the detection and interpretation of ultra-fast phenomena Includes a discussion of the importance of these phenomena for the understanding of chemical reaction dynamics and kinetics in relation to molecular spectra and structure

Quantum Dynamic Imaging

Author : Andre D Bandrauk
Publisher : Springer Science & Business Media
ISBN 13 : 1441994912
Total Pages : 236 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Quantum Dynamic Imaging by : Andre D Bandrauk

Download or read book Quantum Dynamic Imaging written by Andre D Bandrauk and published by Springer Science & Business Media. This book was released on 2011-07-12 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: Studying and using light or "photons" to image and then to control and transmit molecular information is among the most challenging and significant research fields to emerge in recent years. One of the fastest growing areas involves research in the temporal imaging of quantum phenomena, ranging from molecular dynamics in the femto (10-15s) time regime for atomic motion to the atto (10-18s) time scale of electron motion. In fact, the attosecond "revolution" is now recognized as one of the most important recent breakthroughs and innovations in the science of the 21st century. A major participant in the development of ultrafast femto and attosecond temporal imaging of molecular quantum phenomena has been theory and numerical simulation of the nonlinear, non-perturbative response of atoms and molecules to ultrashort laser pulses. Therefore, imaging quantum dynamics is a new frontier of science requiring advanced mathematical approaches for analyzing and solving spatial and temporal multidimensional partial differential equations such as Time-Dependent Schroedinger Equations (TDSE) and Time-Dependent Dirac equations (TDDEs for relativistic phenomena). These equations are also coupled to the photons in Maxwell's equations for collective propagation effects. Inversion of the experimental imaging data of quantum dynamics presents new mathematical challenges in the imaging of quantum wave coherences on subatomic (subnanometer) spatial dimensions and multiple timescales from atto to femto and even nanoseconds. In Quantum Dynamic Imaging: Theoretical and Numerical Methods, leading researchers discuss these exciting state-of-the-art developments and their implications for R&D in view of the promise of quantum dynamic imaging science as the essential tool for controlling matter at the molecular level.

Quantum Mechanics in Chemistry

Author : George C. Schatz
Publisher : Courier Corporation
ISBN 13 : 0486136728
Total Pages : 384 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Quantum Mechanics in Chemistry by : George C. Schatz

Download or read book Quantum Mechanics in Chemistry written by George C. Schatz and published by Courier Corporation. This book was released on 2012-04-30 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced graduate-level text looks at symmetry, rotations, and angular momentum addition; occupation number representations; and scattering theory. Uses concepts to develop basic theories of chemical reaction rates. Problems and answers.

Molecular Quantum Dynamics

Author : Fabien Gatti
Publisher : Springer Science & Business Media
ISBN 13 : 3642452906
Total Pages : 273 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Molecular Quantum Dynamics by : Fabien Gatti

Download or read book Molecular Quantum Dynamics written by Fabien Gatti and published by Springer Science & Business Media. This book was released on 2014-04-09 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on current applications of molecular quantum dynamics. Examples from all main subjects in the field, presented by the internationally renowned experts, illustrate the importance of the domain. Recent success in helping to understand experimental observations in fields like heterogeneous catalysis, photochemistry, reactive scattering, optical spectroscopy, or femto- and attosecond chemistry and spectroscopy underline that nuclear quantum mechanical effects affect many areas of chemical and physical research. In contrast to standard quantum chemistry calculations, where the nuclei are treated classically, molecular quantum dynamics can cover quantum mechanical effects in their motion. Many examples, ranging from fundamental to applied problems, are known today that are impacted by nuclear quantum mechanical effects, including phenomena like tunneling, zero point energy effects, or non-adiabatic transitions. Being important to correctly understand many observations in chemical, organic and biological systems, or for the understanding of molecular spectroscopy, the range of applications covered in this book comprises broad areas of science: from astrophysics and the physics and chemistry of the atmosphere, over elementary processes in chemistry, to biological processes (such as the first steps of photosynthesis or vision). Nevertheless, many researchers refrain from entering this domain. The book "Molecular Quantum Dynamics" offers them an accessible introduction. Although the calculation of large systems still presents a challenge - despite the considerable power of modern computers - new strategies have been developed to extend the studies to systems of increasing size. Such strategies are presented after a brief overview of the historical background. Strong emphasis is put on an educational presentation of the fundamental concepts, so that the reader can inform himself about the most important concepts, like eigenstates, wave packets, quantum mechanical resonances, entanglement, etc. The chosen examples highlight that high-level experiments and theory need to work closely together. This book thus is a must-read both for researchers working experimentally or theoretically in the concerned fields, and generally for anyone interested in the exciting world of molecular quantum dynamics.

Numerical Recipes in Quantum Information Theory and Quantum Computing

Author : M.S. Ramkarthik
Publisher : CRC Press
ISBN 13 : 1000423794
Total Pages : 424 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Numerical Recipes in Quantum Information Theory and Quantum Computing by : M.S. Ramkarthik

Download or read book Numerical Recipes in Quantum Information Theory and Quantum Computing written by M.S. Ramkarthik and published by CRC Press. This book was released on 2021-09-12 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes 160 subroutines all of which can be used either as a standalone program or integrated with any other main program without any issues. Every parameter in the input, output and execution has been provided while keeping both beginner and advanced users in mind. The output of every program is explained thoroughly with detailed examples.

Many-Particle Quantum Dynamics in Atomic and Molecular Fragmentation

Author : Joachim Ullrich
Publisher : Springer Science & Business Media
ISBN 13 : 3662084929
Total Pages : 529 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Many-Particle Quantum Dynamics in Atomic and Molecular Fragmentation by : Joachim Ullrich

Download or read book Many-Particle Quantum Dynamics in Atomic and Molecular Fragmentation written by Joachim Ullrich and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first comprehensive treatment of the interactions of atoms and molecules with charged particles, photons and laser fields. Addressing the subject from a unified viewpoint, the volume reflects our present understanding of many-particle dynamics in rearrangement and fragmentation reactions.

Quantum Dynamics and Information

Author : Robert Olkiewicz
Publisher : World Scientific
ISBN 13 : 9814317438
Total Pages : 241 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Quantum Dynamics and Information by : Robert Olkiewicz

Download or read book Quantum Dynamics and Information written by Robert Olkiewicz and published by World Scientific. This book was released on 2011 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: The central theme of this lecture collection is quantum dynamics, regarded mostly as the dynamics of entanglement and that of decoherence phenomena. Both these concepts appear to refer to the behavior of surprisingly fragile features of quantum systems supposed to model quantum memories and to implement quantum date processing routines. This collection may serve as an essential resource for those interested in both theoretical description and practical applications of fundamentals of quantum mechanics.

An Introduction to Computational Physics

Author : Tao Pang
Publisher : Cambridge University Press
ISBN 13 : 9780521825696
Total Pages : 414 pages
Book Rating : 4.8/5 (256 download)

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Book Synopsis An Introduction to Computational Physics by : Tao Pang

Download or read book An Introduction to Computational Physics written by Tao Pang and published by Cambridge University Press. This book was released on 2006-01-19 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: This advanced textbook provides an introduction to the basic methods of computational physics.

Quantum Dynamic Imaging

Author : Andre D. Bandrauk
Publisher : Springer
ISBN 13 : 9781441994905
Total Pages : 236 pages
Book Rating : 4.9/5 (949 download)

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Book Synopsis Quantum Dynamic Imaging by : Andre D. Bandrauk

Download or read book Quantum Dynamic Imaging written by Andre D. Bandrauk and published by Springer. This book was released on 2011-07-12 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: Studying and using light or "photons" to image and then to control and transmit molecular information is among the most challenging and significant research fields to emerge in recent years. One of the fastest growing areas involves research in the temporal imaging of quantum phenomena, ranging from molecular dynamics in the femto (10-15s) time regime for atomic motion to the atto (10-18s) time scale of electron motion. In fact, the attosecond "revolution" is now recognized as one of the most important recent breakthroughs and innovations in the science of the 21st century. A major participant in the development of ultrafast femto and attosecond temporal imaging of molecular quantum phenomena has been theory and numerical simulation of the nonlinear, non-perturbative response of atoms and molecules to ultrashort laser pulses. Therefore, imaging quantum dynamics is a new frontier of science requiring advanced mathematical approaches for analyzing and solving spatial and temporal multidimensional partial differential equations such as Time-Dependent Schroedinger Equations (TDSE) and Time-Dependent Dirac equations (TDDEs for relativistic phenomena). These equations are also coupled to the photons in Maxwell's equations for collective propagation effects. Inversion of the experimental imaging data of quantum dynamics presents new mathematical challenges in the imaging of quantum wave coherences on subatomic (subnanometer) spatial dimensions and multiple timescales from atto to femto and even nanoseconds. In Quantum Dynamic Imaging: Theoretical and Numerical Methods, leading researchers discuss these exciting state-of-the-art developments and their implications for R&D in view of the promise of quantum dynamic imaging science as the essential tool for controlling matter at the molecular level.

Numerical Challenges in Lattice Quantum Chromodynamics

Author : Andreas Frommer
Publisher : Springer Science & Business Media
ISBN 13 : 9783540677321
Total Pages : 204 pages
Book Rating : 4.6/5 (773 download)

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Book Synopsis Numerical Challenges in Lattice Quantum Chromodynamics by : Andreas Frommer

Download or read book Numerical Challenges in Lattice Quantum Chromodynamics written by Andreas Frommer and published by Springer Science & Business Media. This book was released on 2000-09-27 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lattice gauge theory is a fairly young research area in Theoretical Particle Physics. It is of great promise as it offers the framework for an ab-initio treatment of the nonperturbative features of strong interactions. Ever since its adolescence the simulation of quantum chromodynamics has attracted the interest of numerical analysts and there is growing interdisciplinary engage ment between theoretical physicists and applied mathematicians to meet the grand challenges of this approach. This volume contains contributions of the interdisciplinary workshop "Nu merical Challenges in Lattice Quantum Chromo dynamics" that the Institute of Applied Computer Science (IAI) at Wuppertal University together with the Von-Neumann-Institute-for-Computing (NIC) organized in August 1999. The purpose of the workshop was to offer a platform for the exchange of key ideas between lattice QCD and numerical analysis communities. In this spirit leading experts from both fields have put emphasis to transcend the barriers between the disciplines. The meetings was focused on the following numerical bottleneck problems: A standard topic from the infancy of lattice QCD is the computation of Green's functions, the inverse of the Dirac operator. One has to solve huge sparse linear systems in the limit of small quark masses, corresponding to high condition numbers of the Dirac matrix. Closely related is the determination of flavor-singlet observables which came into focus during the last years.

The Physics of Quantum Mechanics

Author : James Binney
Publisher : Oxford University Press, USA
ISBN 13 : 0199688575
Total Pages : 408 pages
Book Rating : 4.1/5 (996 download)

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Book Synopsis The Physics of Quantum Mechanics by : James Binney

Download or read book The Physics of Quantum Mechanics written by James Binney and published by Oxford University Press, USA. This book was released on 2013-12 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title gives students a good understanding of how quantum mechanics describes the material world. The text stresses the continuity between the quantum world and the classical world, which is merely an approximation to the quantum world.

Numerical Grid Methods and Their Application to Schrödinger’s Equation

Author : C. Cerjan
Publisher : Springer Science & Business Media
ISBN 13 : 9780792324232
Total Pages : 274 pages
Book Rating : 4.3/5 (242 download)

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Book Synopsis Numerical Grid Methods and Their Application to Schrödinger’s Equation by : C. Cerjan

Download or read book Numerical Grid Methods and Their Application to Schrödinger’s Equation written by C. Cerjan and published by Springer Science & Business Media. This book was released on 1993-07-31 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a unique perspective on the rapidly growing field of numerical grid methods applied to the solution of the Schrödinger equation. Several articles provide comprehensive reviews of the discrete variable and pseudo-spectral operator representation. The applications include sophisticated refinements of the basic approaches with emphasis on successful parallel implementation. The range of problems considered is broad including reactive scattering, photoexcitation processes, mixed quantum--classical methodology, and density functional electronic structure calculations. The book thus serves as a direct introduction to numerical grid methods and as a guide to future research.