Quantum mechanics [electronic resource] : problems and solutions / edited by Kong Wan.

Cover -- Half Title -- Title Page -- Copyright Page -- Dedication Page -- Contents -- Preface -- 1 Structure of Physical Theories -- 2 Classical Systems -- 3 Probability Theory for Discrete Variables -- 4 Probability Theory for Continuous Variables -- 5 Quantum Mechanical Systems -- 6 Three-Dimensional Real Vectors -- 7 Matrices and Their Relations with Vectors -- 8 Operations on Vectors in IE₂3 -- 9 Special Operators on IE₂3 -- 10 Probability, Selfadjoint Operators, Unit Vectors and the Need for Complexness -- 11 Complex Vectors -- 12 N-Dimensional Complex Vectors

13 Operators on N-Dimensional Complex Vectors -- 14 Model Theories Based on Complex Vector Spaces -- 15 Spectral Theory in Terms of Stieltjes Integrals -- 16 Infinite-Dimensional Complex Vectors and Hilbert Spaces -- 17 Operators in a Hilbert Space H₂ -- 18 Bounded Operators on H₂ -- 19 Symmetric and Selfadjoint Operators in H₂ -- 20 Spectral Theory of Selfadjoint Operators in H₂ -- 21 Spectral Theory of Unitary Operators on H₂ -- 22 Selfadjoint Operators, Unit Vectors and Probability Distributions -- 23 Physics of Unitary Transformations

24 Direct Sums and Tensor Products of Hilbert Spaces and Operators -- 25 Pure States -- 26 Observables and Their Values -- 27 Canonical Quantisation -- 28 States, Observables and Probability Distributions -- 29 Time Evolution -- 30 On States after Measurement -- 31 Pure and Mixed States -- 32 Superselection Rules -- 33 Many-Particle Systems -- 34 Conceptual Issues -- 35 Harmonic and Isotropic Oscillators -- 36 Angular Momenta -- 37 Particles in Static Magnetic Fields -- Bibliography

This is a companion volume to K. Kong Wan's textbook Quantum Mechanics: A Fundamental Approach, published in 2019 by Jenny Stanford Publishing. The book contains more than 240 exercises and problems listed at the end of most chapters. This essential manual presents full solutions to all the exercises and problems that are designed to help the reader master the material in the textbook. Mastery of the material in the book would contribute greatly to the understanding of the concepts and formalism of quantum mechanics.

OCLC-licensed vendor bibliographic record.