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E-grāmata: Quantum Mechanics: Problems and Solutions [Taylor & Francis e-book]

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  • Formāts: 242 pages
  • Izdošanas datums: 02-Nov-2020
  • Izdevniecība: Pan Stanford Publishing Pte Ltd
  • ISBN-13: 9780429296475
  • Taylor & Francis e-book
  • Cena: 168,97 €*
  • * this price gives unlimited concurrent access for unlimited time
  • Standarta cena: 241,39 €
  • Ietaupiet 30%
  • Formāts: 242 pages
  • Izdošanas datums: 02-Nov-2020
  • Izdevniecība: Pan Stanford Publishing Pte Ltd
  • ISBN-13: 9780429296475

This is a companion volume to the textbook Quantum Mechanics: A Fundamental Approach by the author. The manual starts with simple mathematical and physical terms before moving on to more complex concepts, which are developed gradually but in detail. It contains more than 240 exercises and problems listed at the end of the chapters in Quantum Mechanics and presents full solutions to all these exercises and problems, which are designed to help the reader master the material in the primary text. This mastery will contribute greatly to understanding the concepts and formalism of quantum mechanics, including probability theory for discrete and continuous variables, three-dimensional real vectors, symmetric and selfadjoint vectors, operators in a Hilbert space, operations on vectors, N-dimensional complex vector spaces, direct sums and tensor products of Hilbert spaces and operators, canonical quantisation, time evolution, pure and mixed states, many-particle systems, harmonic and isotropic oscillators, angular momenta, and particles in a static magnetic field, among others.

Preface xi
1 Structure of Physical Theories
1(2)
2 Classical Systems
3(2)
3 Probability Theory for Discrete Variables
5(4)
4 Probability Theory for Continuous Variables
9(8)
5 Quantum Mechanical Systems
17(4)
6 Three-Dimensional Real Vectors
21(6)
7 Matrices and Their Relations with Vectors
27(8)
8 Operations on Vectors in IE3
35(6)
9 Special Operators on IE3
41(10)
10 Probability, Selfadjoint Operators, Unit Vectors and the Need for Complexness
51(4)
11 Complex Vectors
55(4)
12 N-Dimensional Complex Vectors
59(6)
13 Operators on N-Dimensional Complex Vectors
65(16)
14 Model Theories Based on Complex Vector Spaces
81(8)
15 Spectral Theory in Terms of Stieltjes Integrals
89(4)
16 Infinite-Dimensional Complex Vectors and Hilbert Spaces
93(6)
17 Operators in a Hilbert Space H
99(8)
18 Bounded Operators on H
107(8)
19 Symmetric and Selfadjoint Operators in H
115(6)
20 Spectral Theory of Selfadjoint Operators in H
121(6)
21 Spectral Theory of Unitary Operators on H
127(2)
22 Selfadjoint Operators, Unit Vectors and Probability Distributions
129(4)
23 Physics of Unitary Transformations
133(2)
24 Direct Sums and Tensor Products of Hilbert Spaces and Operators
135(8)
25 Pure States
143(2)
26 Observables and Their Values
145(4)
27 Canonical Quantisation
149(12)
28 States, Observables and Probability Distributions
161(6)
29 Time Evolution
167(8)
30 On States after Measurement
175(2)
31 Pure and Mixed States
177(4)
32 Superselection Rules
181(4)
33 Many-Particle Systems
185(2)
34 Conceptual Issues
187(2)
35 Harmonic and Isotropic Oscillators
189(12)
36 Angular Momenta
201(24)
37 Particles in Static Magnetic Fields
225(4)
Bibliography 229
K. Kong Wan is honorary reader in theoretical physics at St Andrews University, Scotland, UK. He studied theoretical physics at St Andrews, both as an undergraduate and a postgraduate, and was awarded a PhD in 1972. He stayed on at St Andrews and became a reader in theoretical physics. His research has focused on the foundations and formalism of quantum mechanics.