 Group Theory and Quantum Mechanics
by Michael Tinkham
Graduate-level text develops group theory relevant to physics and chemistry and illustrates their applications to quantum mechanics, with systematic treatment of quantum theory of atoms, molecules, solids. 1964 edition.
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| |  The Theory of Groups and Quantum Mechanics
by Hermann Weyl
This landmark text applies group theory to quantum mechanics, first covering unitary geometry, quantum theory, groups and their representations, then applications themselves — rotation, Lorentz, permutation groups, symmetric permutation groups, more.
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| |  Philosophic Foundations of Quantum Mechanics
by Hans Reichenbach
Noted philosopher offers a philosophical interpretation of quantum physics that reviews the basics of quantum mechanics and outlines their mathematical methods, blending philosophical ideas and mathematical formulations to develop a variety of concrete interpretations. 1944 edition.
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 Relativistic Quantum Fields
by Charles Nash
This graduate-level text contains techniques for performing calculations in quantum field theory. It focuses chiefly on the dimensional method and the renormalization group methods. Additional topics include functional integration and differentiation. 1978 edition.
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| |  Problems in Quantum Mechanics
by I. I. Gol’dman, V. D. Krivchenkov
A comprehensive collection of problems of varying degrees of difficulty in nonrelativistic quantum mechanics, with answers and completely worked-out solutions. An ideal adjunct to any textbook in quantum mechanics.
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 The Quantum Theory of Radiation: Third Edition
by W. Heitler
The first comprehensive treatment of quantum physics in any language, this classic introduction to basic theory remains highly recommended and widely used, both as a text and as a reference. 1954 edition.
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| |  Group Theory
by W. R. Scott
Here is a clear, well-organized coverage of the most standard theorems, including isomorphism theorems, transformations and subgroups, direct sums, abelian groups, and more. This undergraduate-level text features more than 500 exercises.
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 Quantum Mechanics and Path Integrals: Emended Edition
by Richard P. Feynman, Albert R. Hibbs, Daniel F. Styer
The Nobel Prize–winning physicist presents unique insights into his theory and its applications. Feynman starts with fundamentals and advances to the perturbation method, quantum electrodynamics, and statistical mechanics. 1965 edition, emended in 2005.
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| |  Weak Interactions and Modern Particle Theory
by Howard Georgi
This high-level, rigorous, and technical treatment was written by a distinguished teacher and researcher. Equally valuable as a text for advanced undergraduates and graduate students and as a reference for professionals. 1984 edition.
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 Quantum Mechanics of One- and Two-Electron Atoms
by Hans A. Bethe, Edwin E. Salpeter
This classic of modern physics includes a vast array of approximation methods, mathematical tricks, and physical pictures useful in the application of quantum mechanics to other fields. 1977 edition.
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| |  Quantum Mechanics: New Approaches to Selected Topics
by Harry J. Lipkin
Acclaimed as "excellent" (Nature) and "very original and refreshing" (Physics Today), these studies examine the Mössbauer effect, many-body quantum mechanics, scattering theory, Feynman diagrams, and relativistic quantum mechanics. 1973 edition.
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 Sources of Quantum Mechanics
by B. L. van der Waerden
17 seminal papers, published from 1917 to 1926, develop and formulate quantum theory. Contributors include Einstein, Bohr, Born, Van Vleck, Heisenberg, Dirac, Pauli, and Jordan. An introduction provides historical perspective.
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| |  Problems in Group Theory
by John D. Dixon
Features 431 problems in group theory involving subgroups, permutation groups, automorphisms and finitely generated Abelian groups, normal series, commutators and derived series, solvable and nilpotent groups, and more. Full solutions. 1967 edition.
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 Quantum Mechanics in Hilbert Space: Second Edition
by Eduard Prugovecki
A rigorous, critical presentation of the mathematics of nonrelativistic quantum mechanics, this text is suitable for advanced undergraduate and graduate courses in functional analysis. Exercises, hints, solutions. 1981 edition.
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| |  Problems in Quantum Mechanics
by I. I. Gol’dman, V. D. Krivchenkov
Geared toward advanced undergraduates and graduate students, this challenging book contains a comprehensive collection of problems in nonrelativistic quantum mechanics, with answers and worked-out solutions to each problem. 1961 edition.
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| |  Quantum Mechanics of Particles and Wave Fields
by Arthur March
A complete explanation of quantum mechanics, from early non-relativistic formulation to complex field theories used extensively in theoretical research, this volume assumes no specialized knowledge. 1951 edition.
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 The Mathematical Principles of Quantum Mechanics
by Derek F. Lawden
Focusing on the principles of quantum mechanics, this text for upper-level undergraduates and graduate students introduces and resolves special physical problems with more than 100 exercises. 1967 edition.
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| |  Group Theory: The Application to Quantum Mechanics
by Paul H. E. Meijer, Edmond Bauer
Upper-level undergraduate and graduate students receive an introduction to problem-solving by means of eigenfunction transformation properties with this text, which focuses on eigenvalue problems in which differential equations or boundaries are unaffected by certain rotations or translations. 1965 edition.
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 Mathematical Foundations of Quantum Mechanics
by George W. Mackey
This graduate-level text introduces fundamentals of classical mechanics; surveys basics of quantum mechanics; and concludes with a look at group theory and quantum mechanics of the atom. 1963 edition.
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| |  Quantum Theory of Many-Particle Systems
by Alexander L. Fetter, John Dirk Walecka
Self-contained treatment of nonrelativistic many-particle systems discusses both formalism and applications in terms of ground-state (zero-temperature) formalism, finite-temperature formalism, canonical transformations, and applications to physical systems. 1971 edition.
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 Primer of Quantum Mechanics
by Marvin Chester
Introductory text examines classical quantum bead on a track: state and representations; operator eigenvalues; harmonic oscillator and bound bead in a symmetric force field; bead in spherical shell. 1992 edition.
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| |  Lectures on Quantum Mechanics
by Paul A. M. Dirac
Four concise, brilliant lectures on mathematical methods in quantum mechanics from Nobel Prize–winning quantum pioneer build on idea of visualizing quantum theory through the use of classical mechanics.
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 Group Theory and Its Application to Physical Problems
by Morton Hamermesh
One of the best-written, most skillful expositions of group theory and its physical applications, directed primarily to advanced undergraduate and graduate students in physics, especially quantum physics. With problems.
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| |  Quantum Theory
by David Bohm
This advanced undergraduate-level text presents the quantum theory in terms of qualitative and imaginative concepts, followed by specific applications worked out in mathematical detail.
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