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Author :
Publisher :
ISBN 13 :
Total Pages : 338 pages
Book Rating : 4.F/5 ( download)
Download or read book The Mathematics of the Periodic Table written by and published by . This book was released on 2006 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Irving Adler
Publisher :
ISBN 13 :
Total Pages : 160 pages
Book Rating : 4.:/5 (3 download)
Download or read book The Elementary Mathematics of the Atom written by Irving Adler and published by . This book was released on 1965 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discusses the nature of the atom, its structure and behavior using the language of mathematics.
Author : Ian P Grant
Publisher : Springer Science & Business Media
ISBN 13 : 0387350691
Total Pages : 813 pages
Book Rating : 4.3/5 (873 download)
Download or read book Relativistic Quantum Theory of Atoms and Molecules written by Ian P Grant and published by Springer Science & Business Media. This book was released on 2007-04-15 with total page 813 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended for physicists and chemists who need to understand the theory of atomic and molecular structure and processes, and who wish to apply the theory to practical problems. As far as practicable, the book provides a self-contained account of the theory of relativistic atomic and molecular structure, based on the accepted formalism of bound-state Quantum Electrodynamics. The author was elected a Fellow of the Royal Society of London in 1992.
Author : Alina Gavriluţ
Publisher : Springer Nature
ISBN 13 : 3030295931
Total Pages : 184 pages
Book Rating : 4.0/5 (32 download)
Download or read book Atomicity through Fractal Measure Theory written by Alina Gavriluţ and published by Springer Nature. This book was released on 2019-11-02 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an exhaustive study of atomicity from a mathematics perspective in the framework of multi-valued non-additive measure theory. Applications to quantum physics and, more generally, to the fractal theory of the motion, are highlighted. The study details the atomicity problem through key concepts, such as the atom/pseudoatom, atomic/nonatomic measures, and different types of non-additive set-valued multifunctions. Additionally, applications of these concepts are brought to light in the study of the dynamics of complex systems. The first chapter prepares the basics for the next chapters. In the last chapter, applications of atomicity in quantum physics are developed and new concepts, such as the fractal atom are introduced. The mathematical perspective is presented first and the discussion moves on to connect measure theory and quantum physics through quantum measure theory. New avenues of research, such as fractal/multifractal measure theory with potential applications in life sciences, are opened.
Author : Elliott H. Lieb
Publisher : Springer Science & Business Media
ISBN 13 : 3662043602
Total Pages : 791 pages
Book Rating : 4.6/5 (62 download)
Download or read book The Stability of Matter: From Atoms to Stars written by Elliott H. Lieb and published by Springer Science & Business Media. This book was released on 2013-12-14 with total page 791 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excellent current review of our knowledge of matter. In this new edition two new sections have been added: quantum electrodynamics and Boson systems.
Author : Colm T. Whelan
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1681748800
Total Pages : 88 pages
Book Rating : 4.6/5 (817 download)
Download or read book Atomic Structure written by Colm T. Whelan and published by Morgan & Claypool Publishers. This book was released on 2018-05-03 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt: A knowledge of atomic theory should be an essential part of every physicist's and chemist's toolkit. This book provides an introduction to the basic ideas that govern our understanding of microscopic matter, and the essential features of atomic structure and spectra are presented in a direct and easily accessible manner. Semi-classical ideas are reviewed and an introduction to the quantum mechanics of one and two electron systems and their interaction with external electromagnetic fields is featured. Multielectron atoms are also introduced, and the key methods for calculating their properties reviewed.
Author : Joseph John Thomson
Publisher :
ISBN 13 :
Total Pages : 48 pages
Book Rating : 4.3/5 (91 download)
Download or read book The Atomic Theory written by Joseph John Thomson and published by . This book was released on 1914 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Elliott H. Lieb
Publisher : Springer Science & Business Media
ISBN 13 : 3662027259
Total Pages : 565 pages
Book Rating : 4.6/5 (62 download)
Download or read book The Stability of Matter: From Atoms to Stars written by Elliott H. Lieb and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 565 pages. Available in PDF, EPUB and Kindle. Book excerpt: With this book, Elliott Lieb joins his peers Hermann Weyl and Chen Ning Yang. Weyl's Selecta was published in 1956, Yang's Selected Papers in 1983. Lieb's "Selecta", like its predecessors, gives us the essence of a great mathema tical physicist concentrated into one convenient volume. Weyl, Yang and Lieb have much more in common than the accident of this manner of publication. They have in common a style and a tradition. Each of them is master of a for midable mathematical technique. Each of them uses hard mathematical ana lysis to reach an understanding of physical laws. Each of them enriches both physics and mathematics by finding new mathematical depths in the description of familiar physical processes. The central theme of Weyl's work in mathematical physics was the idea of symmetry, linking physical invariance-principles with the mathematics of group-theory. One of Yang's central themes is the idea of a gauge field, linking physical interactions with the mathematics of fibre-bundles. The central theme of Lieb's papers collected in this book is the classical Thomas-Fermi model of an atom, linking the physical stability of matter with the mathematics of func tional analysis. In all three cases, a rather simple physical idea provided the starting-point for building a grand and beautiful mathematical structure. Weyl, Yang and Lieb were not content with merely solving a problem. Each of them was concerned with understanding the deep mathematical roots out of which physical phenomena grow.
Author : Niels Bohr
Publisher : Cambridge University Press
ISBN 13 : 1107628059
Total Pages : 129 pages
Book Rating : 4.1/5 (76 download)
Download or read book Atomic Theory and the Description of Nature written by Niels Bohr and published by Cambridge University Press. This book was released on 2011-06-16 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: Niels Bohr (1885-1962) was a Danish physicist who played a key role in the development of atomic theory and quantum mechanics, he was awarded the Nobel Prize for Physics in 1922. Originally written for various journals during the 1920s, these articles investigate the epistemological significance of discoveries in quantum physics.
Author : Elliott H. Lieb
Publisher : Springer Science & Business Media
ISBN 13 : 3662034360
Total Pages : 677 pages
Book Rating : 4.6/5 (62 download)
Download or read book The Stability of Matter: From Atoms to Stars written by Elliott H. Lieb and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 677 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of "The Stability of Matter: From Atoms to Stars" was sold out after a time unusually short for a selecta collection and we thought it ap propriate not just to make a reprinting but to include eight new contributionso They demonstrate that this field is still lively and keeps revealing unexpected featureso Of course, we restricted ourselves to developments in which Elliott Lieb participated and thus the heroic struggle in Thomas-Fermi theory where 7 3 5 3 the accuracy has been pushed from Z 1 to Z 1 is not includedo A rich landscape opened up after Jakob Yngvason's observation that atoms in magnetic fields also are described in suitable limits by a Thomas-Fermi-type theoryo Together with Elliott Lieb and Jan Philip Solovej it was eventually worked out that one has to distinguish 5 regionso If one takes as a dimensionless measure of the magnetic field strength B the ratio Larmor radius/Bohr radius one can compare it with N "' Z and for each of the domains 4 3 (i) B « N 1 , 4 3 (ii) B "' N 1 , 4 3 3 (iii) N 1« B « N , 3 (iv) B "' N , 3 (v) B » N a different version ofmagnetic Thomas-Fermi theory becomes exact in the limit N --+ ooo In two dimensions and a confining potential ("quantum dots") the situation is somewhat simpler, one has to distinguish only (i) B « N, (ii) B "'N,
Author :
Publisher :
ISBN 13 :
Total Pages : 464 pages
Book Rating : 4.3/5 ( download)
Download or read book The Mathematical Gazette written by and published by . This book was released on 1924 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kunming Xu
Publisher : Nova Science Publishers
ISBN 13 : 9781634634205
Total Pages : 0 pages
Book Rating : 4.6/5 (342 download)
Download or read book The Atomic Structure and Law written by Kunming Xu and published by Nova Science Publishers. This book was released on 2014 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discovers four-dimensional space within a sphere with the instantiation of the 2s2p electron octet in a neon shell. Four space dimensions correspond to points, lines, planes, and solids geometrically. This book develops the idea of dynamic calculus that is implemented by circular functions instead of infinitesimal limits. As the law of nature, dynamic calculus of spherical quantities describes harmonic oscillations of electrons in atoms by dimension transformation rather than kinematic movement. In particular, electronic orbitals of 1s2s2p within a neon atom are defined in calculus, trigonometry, and geometry rigorously. A fresh theory of the atomic structure and law is established from scratch that eventually changes the traditional spacetime worldview. The theory derived from atomic spacetime may be extended to the description of molecules, cells, and organisms. For example, both electrons within a helium atom constitute a two-dimensional system, which provides a mathematical model for life phenomena. A husband and a wife are two dimensions of the family; plants and animals are two kingdoms of the advanced lives. The interplay and transformation between both dimensions are the eternal theme of nature. A DNA molecule, composed of space and time strands, is a stepwise LC oscillatory circuitry where each base pair is a capacitor, each phosphate bridge is an inductor, and each deoxyribose is a charge router directed by chiral carbons with anisotropic 2p electronic orbitals. All physical quantities are ordered into a periodic table according to their spacetime dimensions. This original approach provides sharp insight into the properties of and relationships between various physical quantities, paving the way toward the formulation of a grand unification theory. Spherical quantities in dynamic calculus complement physical quantities in linear algebra, comply with the Pythagorean theorem and the general Stokes' theorem, observe Maxwell's equations, and characterize the rhythms of entities and life essentially. The spherical view also endorses the core concepts of traditional Chinese medicine, such as yin and yang theory, five element theory, and eight trigram philosophy.
Author : Julius J.. Gliebe
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (124 download)
Download or read book The Mathematical Atom written by Julius J.. Gliebe and published by . This book was released on 1933 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Edward Barbeau
Publisher :
ISBN 13 :
Total Pages : 122 pages
Book Rating : 4.E/5 ( download)
Download or read book Mathematical Olympiads' Correspondence Program (1995-96) written by Edward Barbeau and published by . This book was released on 1997 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Miron Ya. Amusia
Publisher : Springer Nature
ISBN 13 : 3030851435
Total Pages : 464 pages
Book Rating : 4.0/5 (38 download)
Download or read book Computation of Atomic and Molecular Processes written by Miron Ya. Amusia and published by Springer Nature. This book was released on 2021-12-02 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents numerical methods for solving a wide range of problems associated with the structure of atoms and simplest molecules, and their interaction with electromagnetic radiation, electrons, and other particles. It introduces the ATOM-M software package, presenting a unified software suite, written in Fortran, for carrying out precise atomic and molecular numeric calculations. The book shows how to apply these numerical methods to obtain many different characteristics of atoms, molecules, and the various processes within which they interact. In an entirely self-sufficient approach, it teaches the reader how to use the codes provided to build atomic and molecular systems from the ground up and obtain the resulting one-electron wave functions. The computational programs presented and made available in this book allow calculations in the one-electron Hartree–Fock approximation and take into account many-electron correlations within the framework of the random-phase approximation with exchange or many-body perturbation theory. Ideal for scholars interested in numerical computation of atomic and molecular processes, the material presented in this book is useful to both experts and novices, theorists, and experimentalists.
Author : John Dalton
Publisher :
ISBN 13 :
Total Pages : 382 pages
Book Rating : 4.:/5 (42 download)
Download or read book A New System of Chemical Philosophy ... written by John Dalton and published by . This book was released on 1827 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sadri Hassani
Publisher : CRC Press
ISBN 13 : 1439808503
Total Pages : 755 pages
Book Rating : 4.4/5 (398 download)
Download or read book From Atoms to Galaxies written by Sadri Hassani and published by CRC Press. This book was released on 2011-06-13 with total page 755 pages. Available in PDF, EPUB and Kindle. Book excerpt: College students in the United States are becoming increasingly incapable of differentiating between proven facts delivered by scientific inquiry and the speculations of pseudoscience. In an effort to help stem this disturbing trend, From Atoms to Galaxies: A Conceptual Physics Approach to Scientific Awareness teaches heightened scientific acuity as it educates students about the physical world and gives them answers to questions large and small. Written by Sadri Hassani, the author of several mathematical physics textbooks, this work covers the essentials of modern physics, in a way that is as thorough as it is compelling and accessible. Some of you might want to know ... . . . How did Galileo come to think about the first law of motion? . . . Did Newton actually discover gravity by way of an apple and an accident? Or maybe you have mulled over... . . . Is it possible for Santa Claus to deliver all his toys? . . . Is it possible to prove that Elvis does not visit Graceland every midnight? Or perhaps you’ve even wondered ... . . . If ancient Taoism really parallels modern physics? . . . If psychoanalysis can actually be called a science? . . . How it is that some philosophies of science may imply that a 650-year-old woman can give birth to a child? No Advanced Mathematics Required A primary textbook for undergraduate students not majoring in physics, From Atoms to Galaxies examines physical laws and their consequences from a conceptual perspective that requires no advanced mathematics. It explains quantum physics, relativity, nuclear and particle physics, gauge theory, quantum field theory, quarks and leptons, and cosmology. Encouraging students to subscribe to proven causation rather than dramatic speculation, the book: Defines the often obscured difference between science and technology, discussing how this confusion taints both common culture and academic rigor Explores the various philosophies of science, demonstrating how errors in our understanding of scientific principles can adversely impact scientific awareness Exposes how pseudoscience and New Age mysticism advance unproven conjectures as dangerous alternatives to proven science Based on courses taught by the author for over 15 years, this textbook has been developed to raise the scientific awareness of the untrained reader who lacks a technical or mathematical background. To accomplish this, the book lays the foundation of the laws that govern our universe in a nontechnical way, emphasizing topics that excite the mind, namely those taken from modern physics, and exposing the abuses made of them by the New Age gurus and other mystagogues. It outlines the methods developed by physicists for the scientific investigation of nature, and contrasts them with those developed by the outsiders who claim to be the owners of scientific methodology. Each chapter includes essays, which use the material developed in that chapter to debunk misconceptions, clarify the nature of science, and explore the history of physics as it relates to the development of ideas. Noting the damage incurred by confusing science and technology, the book strives to help the reader to emphatically demarcate the two, while clearly demonstrating that science is the only element capable of advancing technology.
