Quantum Mechanics: Problems With Solutions

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Quantum Mechanics: Problems with Solutions contains detailed model solutions to the exercise problems formulated in the companion Lecture Notes volume. In many cases, the solutions include result discussions that enhance the lecture material. For reader's convenience, the problem assignments are reproduced in this volume.

Author(s): Konstantin K Likharev
Series: Essential Advanced Physics, 6
Publisher: IOP Publishing
Year: 2019

Language: English
Pages: 350
City: Bristol

PRELIMS.pdf
Preface to the EAP Series
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Essential Advanced Physics
Distinguishing features of this series—in brief
Level and prerequisites
Origins and motivation
Style
Disclaimer and encouragement
Preface to Acknowledgments
Notation
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Prime signs
Parts of the series
Appendices
Formulas
CH001.pdf
Chapter 1 Introduction
References
CH002.pdf
Chapter 2 1D wave mechanics
References
CH003.pdf
Chapter 3 Higher dimensionality effects
References
CH004.pdf
Chapter 4 Bra–ket formalism
Reference
CH005.pdf
Chapter 5 Some exactly solvable problems
References
CH006.pdf
Chapter 6 Perturbative approaches
References
CH007.pdf
Chapter 7 Open quantum systems
CH008.pdf
Chapter 8 Multiparticle systems
References
CH009.pdf
Chapter 9 Elements of relativistic quantum mechanics
References
APP1.pdf
Chapter
A.1 Constants
A.2 Combinatorics, sums, and series
A.3 Basic trigonometric functions
A.4 General differentiation
A.5 General integration
A.6 A few 1D integrals55A powerful (and free) interactive online tool for working out indefinite 1D integrals is available at http://integrals.wolfram.com/index.jsp.
A.7 3D vector products
A.8 Differentiation in 3D Cartesian coordinates
A.9 The Laplace operator ∇2 ≡ ∇ · ∇
A.10 Operators ∇ and ∇2 in the most important systems of orthogonal coordinates1111Some other orthogonal curvilinear coordinate systems are discussed in Part EM, section 2.3.
A.11 Products involving ∇
A.12 Integro-differential relations
A.13 The Kronecker delta and Levi-Civita permutation symbols
A.14 Dirac’s delta-function, sign function, and theta-function
A.15 The Cauchy theorem and integral
A.16 Literature
References
APP2.pdf
Chapter
References
BIBLIO.pdf
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Part EM: Classical Electrodynamics
Part SM: Statistical Mechanics
Multidisciplinary/specialty