Many-body Theory of a Rapidly Varying Inhomogeneous Electron Gas

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ISBN 13 :
Total Pages : 100 pages
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Book Synopsis Many-body Theory of a Rapidly Varying Inhomogeneous Electron Gas by : John William Gadzuk

Download or read book Many-body Theory of a Rapidly Varying Inhomogeneous Electron Gas written by John William Gadzuk and published by . This book was released on 1968 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: The case of an inhomogeneous electron gas within which the density variation is significant over a spatial range of the order of a Fermi wave-length is considered in this report. It is seen that for most systems of physical interest, this sort of non-uniformity is a result of diffraction effects. This is a fundamentally different phenomenon than can reasonably be treated by the density gradient method of Kohn for slowly varying inhomogeneous electron gases. Several sample cases are treated. The first considerations are directed towards the problem of a weak periodic potential in an interacting electron gas. The momentum-dependent self-energy is calculated for an electron propagating in the many-body medium of an electron gas plus a periodic lattice pseudo-potential. This is the equivalent of a quasi-particle energy spectrum and thus an orthogonalized plane wave energy band. It does not appear that the lattice drastically changes qualitative aspects of plane wave many-body theory. A dielectric formulation for a general inhomogeneous electron gas is presented. By introducing a new image technique, the dielectric function within the random phase approximation, which is valid in the surface region of an electron gas, is obtained. A Green's function formalism is developed for treating the static dielectric screening of a point impurity in an electron gas. The surface dielectric function is used with the impurity screening formalism to treat the problem of impurity screening in the surface region. This is an idealized model of ionic adsorption on metal surface. Screening charge densities resulting from volume polarization effects are calculated. From these results, it is seen why unjustifiable application of classical image forces in previous adsorption theories has fortunately produced reasonable results. A new method for obtaining the appropriate plasmon contribution to the electron self-energy in the surface region is developed. With these results, the electron gas surface potentials calculated by Loucks and Cutler are then improved.

Many-body Theory of a Rapidly Varying Inhomogeneous Electron Gas

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ISBN 13 :
Total Pages : 100 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Many-body Theory of a Rapidly Varying Inhomogeneous Electron Gas by : John William Gadzuk

Download or read book Many-body Theory of a Rapidly Varying Inhomogeneous Electron Gas written by John William Gadzuk and published by . This book was released on 1968 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: The case of an inhomogeneous electron gas within which the density variation is significant over a spatial range of the order of a Fermi wave-length is considered in this report. It is seen that for most systems of physical interest, this sort of non-uniformity is a result of diffraction effects. This is a fundamentally different phenomenon than can reasonably be treated by the density gradient method of Kohn for slowly varying inhomogeneous electron gases. Several sample cases are treated. The first considerations are directed towards the problem of a weak periodic potential in an interacting electron gas. The momentum-dependent self-energy is calculated for an electron propagating in the many-body medium of an electron gas plus a periodic lattice pseudo-potential. This is the equivalent of a quasi-particle energy spectrum and thus an orthogonalized plane wave energy band. It does not appear that the lattice drastically changes qualitative aspects of plane wave many-body theory. A dielectric formulation for a general inhomogeneous electron gas is presented. By introducing a new image technique, the dielectric function within the random phase approximation, which is valid in the surface region of an electron gas, is obtained. A Green's function formalism is developed for treating the static dielectric screening of a point impurity in an electron gas. The surface dielectric function is used with the impurity screening formalism to treat the problem of impurity screening in the surface region. This is an idealized model of ionic adsorption on metal surface. Screening charge densities resulting from volume polarization effects are calculated. From these results, it is seen why unjustifiable application of classical image forces in previous adsorption theories has fortunately produced reasonable results. A new method for obtaining the appropriate plasmon contribution to the electron self-energy in the surface region is developed. With these results, the electron gas surface potentials calculated by Loucks and Cutler are then improved.

Many-body Theory of Rapidly Varying Inhomogeneous Gas [with List of References]

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ISBN 13 :
Total Pages : 93 pages
Book Rating : 4.:/5 (18 download)

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Book Synopsis Many-body Theory of Rapidly Varying Inhomogeneous Gas [with List of References] by :

Download or read book Many-body Theory of Rapidly Varying Inhomogeneous Gas [with List of References] written by and published by . This book was released on 1968 with total page 93 pages. Available in PDF, EPUB and Kindle. Book excerpt:

NASA Technical Report

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ISBN 13 :
Total Pages : 946 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis NASA Technical Report by :

Download or read book NASA Technical Report written by and published by . This book was released on 1968 with total page 946 pages. Available in PDF, EPUB and Kindle. Book excerpt:

NASA Scientific and Technical Reports

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ISBN 13 :
Total Pages : 478 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis NASA Scientific and Technical Reports by : United States. National Aeronautics and Space Administration Scientific and Technical Information Division

Download or read book NASA Scientific and Technical Reports written by United States. National Aeronautics and Space Administration Scientific and Technical Information Division and published by . This book was released on 1968 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Selected Listing of NASA Scientific and Technical Reports

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ISBN 13 :
Total Pages : 470 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis A Selected Listing of NASA Scientific and Technical Reports by : United States. National Aeronautics and Space Administration. Scientific and Technical Information Division

Download or read book A Selected Listing of NASA Scientific and Technical Reports written by United States. National Aeronautics and Space Administration. Scientific and Technical Information Division and published by . This book was released on 1969 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Scientific and Technical Aerospace Reports

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ISBN 13 :
Total Pages : 1074 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1979 with total page 1074 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Monthly Catalog, United States Public Documents

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ISBN 13 :
Total Pages : 1716 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Monthly Catalog, United States Public Documents by : United States. Superintendent of Documents

Download or read book Monthly Catalog, United States Public Documents written by United States. Superintendent of Documents and published by . This book was released on 1968 with total page 1716 pages. Available in PDF, EPUB and Kindle. Book excerpt: February issue includes Appendix entitled Directory of United States Government periodicals and subscription publications; September issue includes List of depository libraries; June and December issues include semiannual index

Monthly Catalog of United States Government Publications, Cumulative Index

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ISBN 13 :
Total Pages : 1348 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Monthly Catalog of United States Government Publications, Cumulative Index by : United States. Superintendent of Documents

Download or read book Monthly Catalog of United States Government Publications, Cumulative Index written by United States. Superintendent of Documents and published by . This book was released on 1970 with total page 1348 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Monthly Catalog of United States Government Publications

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ISBN 13 :
Total Pages : 1320 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis Monthly Catalog of United States Government Publications by : United States. Superintendent of Documents

Download or read book Monthly Catalog of United States Government Publications written by United States. Superintendent of Documents and published by . This book was released on 1966 with total page 1320 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Quarterly Progress Report

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ISBN 13 :
Total Pages : 692 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Quarterly Progress Report by : Massachusetts Institute of Technology. Research Laboratory of Electronics

Download or read book Quarterly Progress Report written by Massachusetts Institute of Technology. Research Laboratory of Electronics and published by . This book was released on 1968 with total page 692 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Journal of Physics and Chemistry of Solids

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ISBN 13 :
Total Pages : 722 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis The Journal of Physics and Chemistry of Solids by :

Download or read book The Journal of Physics and Chemistry of Solids written by and published by . This book was released on 1969 with total page 722 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Comprehensive Dissertation Index

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ISBN 13 :
Total Pages : 944 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Comprehensive Dissertation Index by :

Download or read book Comprehensive Dissertation Index written by and published by . This book was released on 1973 with total page 944 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Annual Report

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ISBN 13 :
Total Pages : 416 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Annual Report by : Massachusetts Institute of Technology

Download or read book Annual Report written by Massachusetts Institute of Technology and published by . This book was released on 1969 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Research in Materials

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ISBN 13 :
Total Pages : 838 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Research in Materials by : Massachusetts Institute of Technology

Download or read book Research in Materials written by Massachusetts Institute of Technology and published by . This book was released on 1969 with total page 838 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Annual Report of Research in Materials Science and Engineering

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ISBN 13 :
Total Pages : 836 pages
Book Rating : 4.:/5 (6 download)

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Book Synopsis Annual Report of Research in Materials Science and Engineering by :

Download or read book Annual Report of Research in Materials Science and Engineering written by and published by . This book was released on 1967 with total page 836 pages. Available in PDF, EPUB and Kindle. Book excerpt:

M.I.T. Report

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ISBN 13 :
Total Pages : 416 pages
Book Rating : 4.:/5 (35 download)

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Book Synopsis M.I.T. Report by : Massachusetts Institute of Technology

Download or read book M.I.T. Report written by Massachusetts Institute of Technology and published by . This book was released on with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: