Hypervirial Theorems

Inhaltsverzeichnis

• 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.