Quantum mechanics: lecture notes

by Likharev, K. K., (Konstantin Konstantinovich)

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Title Statements

Full title :Quantum mechanics : lecture notes / Konstantin K. Likharev.

Summary

Essential Advanced Physics is a series comprising four parts: Classical Mechanics, Classical Electrodynamics, Quantum Mechanics and Statistical Mechanics. Each part consists of two volumes, Lecture Notes and Problems with Solutions, further supplemented by an additional collection of test problems and solutions available to qualifying university instructors. This volume, Quantum Mechanics: Lecture Notes, is intended to be the basis for a two-semester graduate-level course. It starts from a coverage of numerous wave-mechanical effects in one- and multi-dimensional systems (notably including the energy band theory), and only then proceeds to the bra-ket formalism necessary for discussion of more advanced topics including particle spin, as well as open and multi-particle quantum systems. The volume also includes a section on quantum computation and cryptography, and ends with a special chapter on quantum measurements and interpretations of quantum mechanics.

Edition Statements

Publication Date:2019

Publication Statements

Publisher(s):IOP Publishing
Place of Publication:Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK)
Language:eng
Publication Date:2019

Notes

"Version: 20190501"--Title page verso

Title from PDF title page (viewed on June 5, 2019).

The Physical Object

Description:1 online resource : : illustrations (some color)

Edition Identifiers

ISBN:9780750314107, 0750314109, 0750314125, 9780750314121
DOI:10.1088/2053-2563/aaf3a3
oclc:on1104053579
LC Classification:QC174.12
Dewey Decimal:530.12

1. Introduction -- 1.1. Experimental motivations -- 1.2. Wave mechanics postulates -- 1.3. Postulates' discussion -- 1.4. Continuity equation -- 1.5. Eigenstates and eigenvalues -- 1.6. Time evolution -- 1.7. Spatial dependence -- 1.8. Dimensionality reduction -- 1.9. Problems

2. 1D wave mechanics -- 2.1. Basic relations -- 2.2. Free particle : wave packets -- 2.3. Particle reflection and tunneling -- 2.4. Motion in soft potentials -- 2.5. Resonant tunneling, and metastable states -- 2.6. Localized state coupling, and quantum oscillations -- 2.7. Periodic systems : energy bands and gaps -- 2.8. Periodic systems : particle dynamics -- 2.9. Harmonic oscillator : brute force approach -- 2.10. Problems

3. Higher dimensionality effects -- 3.1. Quantum interference and the AB effect -- 3.2. Landau levels and quantum Hall effect -- 3.3. Scattering and diffraction -- 3.4. Energy bands in higher dimensions -- 3.5. Axially-symmetric systems -- 3.6. Spherically-symmetric systems : brute force approach -- 3.7. Atoms -- 3.8. Spherically-symmetric scatterers -- 3.9. Problems

4. Bra-ket formalism -- 4.1. Motivation -- 4.2. States, state vectors, and linear operators -- 4.3. State basis and ma…