Introduction To Quantum Mechanics: Schrodinger Equation And Path Integral
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A01=Harald J W Muller-kirsten
Asymptotic Expansions
Author_Harald J W Muller-kirsten
Band Theory of Metals
Bounces
Category=PHQ
Chemical Bonds
Converging Factors
Coulomb Potentials
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eq_isMigrated=1
eq_nobargain
eq_non-fiction
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Harmonic and Anharmonic Oscillators
Instantons
Large-Order Behavior
Level Splitting
Path Integral
Periodic Potentials
Perturbation Theory
Phase Transitions of Quantum to Thermal Transitions
Quantization of Systems with Constraints
SchrAfA?inger Equation
Singular Potentials
Solitons
Product details
- ISBN 9789814397742
- Publication Date: 07 Sep 2012
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Paperback
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This text on quantum mechanics begins by covering all the main topics of an introduction to the subject. It then concentrates on newer developments. In particular it continues with the perturbative solution of the Schrödinger equation for various potentials and thereafter with the introduction and evaluation of their path integral counterparts. Considerations of the large order behavior of the perturbation expansions show that in most applications these are asymptotic expansions. The parallel consideration of path integrals requires the evaluation of these around periodic classical configurations, the fluctuation equations about which lead back to specific wave equations. The period of the classical configurations is related to temperature, and permits transitions to the thermal domain to be classified as phase transitions.In this second edition of the text important applications and numerous examples have been added. In particular, the chapter on the Coulomb potential has been extended to include an introduction to chemical bonds, the chapter on periodic potentials has been supplemented by a section on the band theory of metals and semiconductors, and in the chapter on large order behavior a section has been added illustrating the success of converging factors in the evaluation of asymptotic expansions. Detailed calculations permit the reader to follow every step.
