Theory of quantum and classical connections in modeling atomic, molecular and electrodynamical systems /
Quantum and Classical Connections in Modeling Atomic, Molecular and Electrodynamic Systems is intended for scientists and graduate students interested in the foundations of quantum mechanics and applied scientists interested in accurate atomic and molecular models. This is a reference to those worki...
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| Format: | eBook |
| Language: | English |
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Amsterdam :
Academic Press,
2013.
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| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- Front Cover; Theory of Quantum and Classical Connections in Modeling Atomic, Molecular and Electrodynamic Systems; Copyright Page; Contents; Introduction; 1 Connection Between Schrődinger and Hamilton-Jacobi Equations in the Case of Stationary Atomic and Molecular Systems; 1.1 Initial Hypotheses; 1.2 Schödinger Equation, Wave Equation, and Characteristic Equation; 1.3 Equation of the Wave Surfaces; 1.4 Periodic Motion of the Wave Surfaces; 1.4.1 Properties of the Wave Surfaces; 1.4.2 Consequences of the Periodicity of the Wave; 1.5 Generalized Bohr Quantization Relation for the C Curves
- 1.5.1 The Integral Relation of the Schrödinger Equation1.5.2 Generalized Bohr Quantization Relations; 1.6 The Stationarity Condition and the de Broglie Relations for Multidimensional Systems; 1.6.1 Proof of the Stationarity Condition; 1.6.2 Proof of the de Broglie Relations; 1.6.2.1 The First de Broglie Relation; 1.6.2.2 The Second de Broglie Relation; 1.7 Properties of the Central Field Semiclassical Method; 1.7.1 The Constants of Motion of the System; 1.7.2 Wave Surfaces for Hydrogenoid Systems