the mathematical principles of quantum mechanics

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The Mathematical Principles Of Quantum Mechanics

Author : Derek F. Lawden
ISBN : 9780486442235
Genre : Science
File Size : 33. 59 MB
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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.

Principles Of Quantum Mechanics

Author : R. Shankar
ISBN : 9781475705768
Genre : Science
File Size : 65. 5 MB
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R. Shankar has introduced major additions and updated key presentations in this second edition of Principles of Quantum Mechanics. New features of this innovative text include an entirely rewritten mathematical introduction, a discussion of Time-reversal invariance, and extensive coverage of a variety of path integrals and their applications. Additional highlights include: - Clear, accessible treatment of underlying mathematics - A review of Newtonian, Lagrangian, and Hamiltonian mechanics - Student understanding of quantum theory is enhanced by separate treatment of mathematical theorems and physical postulates - Unsurpassed coverage of path integrals and their relevance in contemporary physics The requisite text for advanced undergraduate- and graduate-level students, Principles of Quantum Mechanics, Second Edition is fully referenced and is supported by many exercises and solutions. The book’s self-contained chapters also make it suitable for independent study as well as for courses in applied disciplines.

The Principles Of Quantum Mechanics

Author : Paul Adrien Maurice Dirac
ISBN : 0198520115
Genre : Philosophy
File Size : 90. 11 MB
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The first edition of this work appeared in 1930, and its originality won it immediate recognition as a classic of modern physical theory. The fourth edition has been bought out to meet a continued demand. Some improvements have been made, the main one being the complete rewriting of thechapter on quantum electrodymanics, to bring in electron-pair creation. This makes it suitable as an introduction to recent works on quantum field theories.

Principles Of Quantum Mechanics

Author : Donald D. Fitts
ISBN : 0521651247
Genre : Science
File Size : 57. 12 MB
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This text presents a rigorous mathematical account of the principles of quantum mechanics, in particular as applied to chemistry and chemical physics. Applications are used as illustrations of the basic theory. The first two chapters serve as an introduction to quantum theory, although it is assumed that the reader has been exposed to elementary quantum mechanics as part of an undergraduate physical chemistry or atomic physics course. Following a discussion of wave motion leading to Schrödinger's wave mechanics, the postulates of quantum mechanics are presented along with essential mathematical concepts and techniques. The postulates are rigorously applied to the harmonic oscillator, angular momentum, the hydrogen atom, the variation method, perturbation theory, and nuclear motion. Modern theoretical concepts such as hermitian operators, Hilbert space, Dirac notation, and ladder operators are introduced and used throughout. This text is appropriate for beginning graduate students in chemistry, chemical physics, molecular physics and materials science.

Mathematische Grundlagen Der Quantenmechanik

Author : John von Neumann
ISBN : 9783642614095
Genre : Mathematics
File Size : 46. 19 MB
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Aus dem Geleitwort von R. Haag: "Es bleibt die Faszination eines großen Wurfs und großen Ideenreichtums."

The Physical Principles Of The Quantum Theory

Author : Werner Heisenberg
ISBN : 9780486318417
Genre : Science
File Size : 85. 68 MB
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Nobel Laureate discusses quantum theory, uncertainty, wave mechanics, work of Dirac, Schroedinger, Compton, Einstein, others. "An authoritative statement of Heisenberg's views on this aspect of the quantum theory." — Nature.

Lectures On Quantum Mechanics For Mathematics Students

Author : L. D. Faddeev
ISBN : 9780821846995
Genre : Science
File Size : 90. 10 MB
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Describes the relation between classical and quantum mechanics. This book contains a discussion of problems related to group representation theory and to scattering theory. It intends to give a mathematically oriented student the opportunity to grasp the main points of quantum theory in a mathematical framework.

General Principles Of Quantum Mechanics

Author : Wolfgang Pauli
ISBN : 9783642618406
Genre : Science
File Size : 68. 47 MB
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I am very happy to accept the translators' invitation to write a few lines of introduction to this book. Of course, there is little need to explain the author. Pauli's first famous work, his article on the theory of relativity in the Encyklopädie der Mathematischen Wissenschaften was written at the age of twenty. He afterwards took part in the development of atomic physics from the still essentially classical picture of Bohr's early work to the true quantum mechanics. Thereafter, some of his work concerned the treatment of problems in the framework of the new theory, especially his paper on the hydrogen atom following the matrix method without recourse to Schrodinger's analytic form of the theory. His greatest achievement, the exclusion principle, generally known today under his own name as the Pauli principle, that governs the quantum theory of all problems including more than one electron, preceded the basic work of Heisenberg and Schrodinger, and brought him the Nobel prize. It includes the mathematical treatment of the spin by means of the now so well known Pauli matrices. In 1929, in a paper with Heisenberg, he laid the foundation of quantum electrodynamics and, in doing so, to the whole theory of quantized wave fields which was to become the via regia of access to elementary particle physics, since here for the first time processes of generation and annihilation of particles could be described for the case of the photons.

Quantum Mechanics

Author : R. McWeeny
ISBN : 9781483186900
Genre : Science
File Size : 76. 54 MB
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Quantum Mechanics: Principles and Formalism gives importance to the exposition of the fundamental bases of quantum mechanics. This text first discusses the physical basis of quantum theory. This book then provides some simple solutions of Schrödinger's equation, eigenvalue equations, and general formulation of quantum mechanics. The general theory of representations is also tackled. In discussing this topic, this text specifically looks into the harmonic oscillator, Dirac notation, time-evolution, Schrödinger equation in momentum space, and transformation theory. This publication will be invaluable to students and experts interested in quantum mechanics, especially in the principles of this field of study.

Quantum Mechanics

Author : A. S. Davydov
ISBN : 9781483187839
Genre : Science
File Size : 29. 32 MB
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Quantum Mechanics, Second Edition discusses the fundamental concepts and governing principles of quantum mechanics. The title details the physical ideas and the mathematical formalism of the quantum theory of the non-relativistic and quasi-relativistic motion of a single particle in an external field. The text first covers the basic concepts, and then proceeds to tackling the change of quantum states in time. Next, the selection examines the connection between quantum mechanics and classical mechanics. The book also discusses the simplest applications of quantum mechanics, along with the elementary representation theory. The book will be most useful to students of physics who are studying quantum mechanics. The text will also serve expert quantum physicists as a reference.

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