Introduction to quantum mechanics Schrodinger equation and path integral
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 e...
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| Main Author: | |
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| Format: | Book |
| Language: | English |
| Published: |
Hackensack, NJ
World Scientific
2012
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| Edition: | 2nd ed. |
| Subjects: | |
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| 090 | |a QC 174.17 |b .M85 2012 | ||
| 100 | 1 | |a Muller-Kirsten, Harald J.W. | |
| 245 | 1 | 0 | |a Introduction to quantum mechanics |b Schrodinger equation and path integral |c Harald J W Muller-Kirsten |
| 250 | |a 2nd ed. | ||
| 260 | |a Hackensack, NJ |b World Scientific |c 2012 | ||
| 300 | |a xxi, 919 p. |b ill. |c 26 cm. | ||
| 504 | |a Includes bibliographical references and index | ||
| 505 | |a Introduction -- Hamiltonian mechanics -- Mathematical foundations of quantum mechanics -- Dirac's Ket- and Bra- formalism -- Schrodinger equation and Liouville equation -- Quantum mechanics of the harmonic oscillator -- Green's functions -- Time-independent pertubation theory -- The density matrix and polarization phenomena -- Quantum theory: the general formalism -- The coulomb interaction -- Quantum mechanical tunneling -- Linear potentials -- Classical limit and WKB method -- Power potentials -- Screened coulomb potentials -- Periodic potentials -- Anharmonic oscillator potentials -- Singular potentials -- Large order behavior of perturbation expansions -- The path integral formalism -- Classical field configurations -- Path integrals and instantons -- Path integrals and bounces on a line -- Periodic classical configurations -- Path integrals and periodic classic configurations -- Quantization of systems with constraints -- The quantum-classical crossover as phase transition | ||
| 520 | |a 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. | ||
| 592 | |a INN/8896 |b 12/11/13 |c RM486.32 |h Innowawasan | ||
| 650 | 0 | |a Quantum theory | |
| 650 | 0 | |a Schrödinger equation | |
| 650 | 0 | |a Path integrals | |
| 999 | |a vtls000050895 |c 96503 |d 96503 | ||