
Hypervirial Theorems
Springer (Publisher)
Published on 26. February 1987
Book
Paperback/Softback
VIII, 373 pages
978-3-540-17170-6 (ISBN)
Description
A.- I. Hypervirial Theorems and Exact Solutions of the Schrödinger Equation.- II. Hypervirial Theorems and Perturbation Theory.- III. Hypervirial Theorems and the Variational Theorem.- IV. Non Diagonal Hypervirial Theorems and Approximate Functions.- V. Hypervirial Functions and Self-Consistent Field Functions.- VI. Perturbation Theory Without Wave Function.- B.- VII. Importance of the Different Boundary Conditions.- VIII. Hypervirial Theorems for 1D Finite Systems. General Boundary Conditions.- IX. Hypervirial Theorems for 1D Finite Systems. Dirichlet Boundary Conditions.- X. Hypervirial Theorems for Finite 1D Systems. Von Neumann Boundary Conditions.- XI. Hypervirial Theorems for Finite Multidimensional Systems.- Special Topics.- 46. Hypervirial theorems and statistical quantum mechanics.- 47. Hypervirial theorems and semiclassica1 approximation.- Numerical results.- References.- Appendix I. Evolution operators.- Appendix II. Hamiltonian of an isolated N-particles system.- Appendix III. Project ion operators.- Appendix IV. Perturbation theory.- Appendix V. Differentiation of matrices and determinants.- Apendix VI. Dynamics of systems with time independent Hamiltonians.- Appendix VII. Elements of probability theory for continuous random variables.- Appendix VIII. Electrons in crystal lattices.- Appendix IX. Numerical integration of the Schrödinger equation.- Appendix X. Expansion in cthz series and polynomial power coefficients.- Bibliography and References for Appendices.- Program I.- Program II.- Program III.- Program IV.- Program V.- Program VI.- Program VII.- Program VIII.- Program IX.- Program X.- Program XI.- Program XII.- Program XIII.- Program XIV.- Program XV.- Program XVI.- Program XVII.
More details
Series
Edition
Softcover reprint of the original 1st ed. 1987
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
VIII, 373 p.
Dimensions
Height: 244 mm
Width: 170 mm
Thickness: 21 mm
Weight
668 gr
ISBN-13
978-3-540-17170-6 (9783540171706)
DOI
10.1007/978-3-642-93349-3
Schweitzer Classification
Other editions
Additional editions

Francisco M. Fernandez | Eduardo Alberto Castro
Hypervirial Theorems
E-Book
12/2012
Springer
€96.29
Available for download
Content
A.- I. Hypervirial Theorems and Exact Solutions of the Schrödinger Equation.- II. Hypervirial Theorems and Perturbation Theory.- III. Hypervirial Theorems and the Variational Theorem.- IV. Non Diagonal Hypervirial Theorems and Approximate Functions.- V. Hypervirial Functions and Self-Consistent Field Functions.- VI. Perturbation Theory Without Wave Function.- B.- VII. Importance of the Different Boundary Conditions.- VIII. Hypervirial Theorems for 1D Finite Systems. General Boundary Conditions.- IX. Hypervirial Theorems for 1D Finite Systems. Dirichlet Boundary Conditions.- X. Hypervirial Theorems for Finite 1D Systems. Von Neumann Boundary Conditions.- XI. Hypervirial Theorems for Finite Multidimensional Systems.- Special Topics.- 46. Hypervirial theorems and statistical quantum mechanics.- 47. Hypervirial theorems and semiclassica1 approximation.- Numerical results.- References.- Appendix I. Evolution operators.- Appendix II. Hamiltonian of an isolated N-particles system.- Appendix III. Project ion operators.- Appendix IV. Perturbation theory.- Appendix V. Differentiation of matrices and determinants.- Apendix VI. Dynamics of systems with time independent Hamiltonians.- Appendix VII. Elements of probability theory for continuous random variables.- Appendix VIII. Electrons in crystal lattices.- Appendix IX. Numerical integration of the Schrödinger equation.- Appendix X. Expansion in cthz series and polynomial power coefficients.- Bibliography and References for Appendices.- Program I.- Program II.- Program III.- Program IV.- Program V.- Program VI.- Program VII.- Program VIII.- Program IX.- Program X.- Program XI.- Program XII.- Program XIII.- Program XIV.- Program XV.- Program XVI.- Program XVII.