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Quantum Mechanics in Simple Matrix Form

Quantum Mechanics in Simple Matrix Form
Author: Thomas F. Jordan
Publisher: Courier Corporation
Total Pages: 274
Release: 2012-05-23
Genre: Science
ISBN: 0486137066

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With this text, basic quantum mechanics becomes accessible to undergraduates with no background in mathematics beyond algebra. Includes more than 100 problems and 38 figures. 1986 edition.


Quantum Mechanics in Matrix Form

Quantum Mechanics in Matrix Form
Author: Günter Ludyk
Publisher: Springer
Total Pages: 214
Release: 2017-10-25
Genre: Science
ISBN: 3319263668

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This book gives an introduction to quantum mechanics with the matrix method. Heisenberg's matrix mechanics is described in detail. The fundamental equations are derived by algebraic methods using matrix calculus. Only a brief description of Schrödinger's wave mechanics is given (in most books exclusively treated), to show their equivalence to Heisenberg's matrix method. In the first part the historical development of Quantum theory by Planck, Bohr and Sommerfeld is sketched, followed by the ideas and methods of Heisenberg, Born and Jordan. Then Pauli's spin and exclusion principles are treated. Pauli's exclusion principle leads to the structure of atoms. Finally, Dirac ́s relativistic quantum mechanics is shortly presented. Matrices and matrix equations are today easy to handle when implementing numerical algorithms using standard software as MAPLE and Mathematica.


Linear Operators for Quantum Mechanics

Linear Operators for Quantum Mechanics
Author: Thomas F. Jordan
Publisher: Courier Corporation
Total Pages: 162
Release: 2012-09-20
Genre: Science
ISBN: 0486140547

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Suitable for advanced undergraduates and graduate students, this compact treatment examines linear space, functionals, and operators; diagonalizing operators; operator algebras; and equations of motion. 1969 edition.


A Modern Approach to Quantum Mechanics

A Modern Approach to Quantum Mechanics
Author: John S. Townsend
Publisher: University Science Books
Total Pages: 498
Release: 2000
Genre: Science
ISBN: 9781891389139

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Inspired by Richard Feynman and J.J. Sakurai, A Modern Approach to Quantum Mechanics allows lecturers to expose their undergraduates to Feynman's approach to quantum mechanics while simultaneously giving them a textbook that is well-ordered, logical and pedagogically sound. This book covers all the topics that are typically presented in a standard upper-level course in quantum mechanics, but its teaching approach is new. Rather than organizing his book according to the historical development of the field and jumping into a mathematical discussion of wave mechanics, Townsend begins his book with the quantum mechanics of spin. Thus, the first five chapters of the book succeed in laying out the fundamentals of quantum mechanics with little or no wave mechanics, so the physics is not obscured by mathematics. Starting with spin systems it gives students straightfoward examples of the structure of quantum mechanics. When wave mechanics is introduced later, students should perceive it correctly as only one aspect of quantum mechanics and not the core of the subject.


Quantum Mechanics of Particles and Wave Fields

Quantum Mechanics of Particles and Wave Fields
Author: Arthur March
Publisher: Courier Corporation
Total Pages: 308
Release: 2006-01-01
Genre: Science
ISBN: 048644578X

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A complete explanation of quantum mechanics, from its early non-relativistic formulation to the complex field theories used so extensively in modern theoretical research, this volume assumes no specialized knowledge of the subject. It stresses relativistic quantum mechanics, since this subject plays such an important role in research, explaining the principles clearly and imparting an accurate understanding of abstract concepts. This text deals with quantum mechanics from its earliest developments, covering both the quantum mechanics of wave fields and the older quantum theory of particles. The final chapter culminates with the author's presentation of his revolutionary theory of fundamental length--a concept designed to meet many of quantum theory's longstanding basic difficulties.


Mathematics of Classical and Quantum Physics

Mathematics of Classical and Quantum Physics
Author: Frederick W. Byron
Publisher: Courier Corporation
Total Pages: 674
Release: 2012-04-26
Genre: Science
ISBN: 0486135063

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Graduate-level text offers unified treatment of mathematics applicable to many branches of physics. Theory of vector spaces, analytic function theory, theory of integral equations, group theory, and more. Many problems. Bibliography.


A Mathematical Companion to Quantum Mechanics

A Mathematical Companion to Quantum Mechanics
Author: Shlomo Sternberg
Publisher: Courier Dover Publications
Total Pages: 337
Release: 2019-03-20
Genre: Science
ISBN: 0486826899

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This original 2019 work, based on the author's many years of teaching at Harvard University, examines mathematical methods of value and importance to advanced undergraduates and graduate students studying quantum mechanics. Its intended audience is students of mathematics at the senor university level and beginning graduate students in mathematics and physics. Early chapters address such topics as the Fourier transform, the spectral theorem for bounded self-joint operators, and unbounded operators and semigroups. Subsequent topics include a discussion of Weyl's theorem on the essential spectrum and some of its applications, the Rayleigh-Ritz method, one-dimensional quantum mechanics, Ruelle's theorem, scattering theory, Huygens' principle, and many other subjects.


Introduction to Quantum Mechanics

Introduction to Quantum Mechanics
Author: David J. Griffiths
Publisher: Cambridge University Press
Total Pages: 512
Release: 2019-11-20
Genre: Science
ISBN: 1108103146

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Changes and additions to the new edition of this classic textbook include a new chapter on symmetries, new problems and examples, improved explanations, more numerical problems to be worked on a computer, new applications to solid state physics, and consolidated treatment of time-dependent potentials.


Sources of Quantum Mechanics

Sources of Quantum Mechanics
Author: B. L. Van Der Waerden
Publisher: Courier Corporation
Total Pages: 450
Release: 2007-01-01
Genre: Science
ISBN: 048645892X

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Originally published: Amsterdam: North-Holland Pub. Co., 1967.


The Physics of Quantum Mechanics

The Physics of Quantum Mechanics
Author: James Binney
Publisher: Oxford University Press, USA
Total Pages: 408
Release: 2013-12
Genre: Science
ISBN: 0199688575

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This title gives students a good understanding of how quantum mechanics describes the material world. The text stresses the continuity between the quantum world and the classical world, which is merely an approximation to the quantum world.