Quantum Mechanics In Matrix Form

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Quantum Mechanics in Matrix Form

Günter Ludyk
Quantum Mechanics in Matrix Form Book PDF

Author : Günter Ludyk
Publisher : Springer
Page : 214 pages
File Size : 43,9 Mb
Release : 2017-10-25
Category : Science
ISBN : 9783319263663

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Quantum Mechanics in Matrix Form by Günter Ludyk Pdf

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.

Quantum Mechanics in Simple Matrix Form

Thomas F. Jordan
Quantum Mechanics in Simple Matrix Form Book PDF

Author : Thomas F. Jordan
Publisher : Courier Corporation
Page : 274 pages
File Size : 54,8 Mb
Release : 2012-05-23
Category : Science
ISBN : 9780486137063

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Quantum Mechanics in Simple Matrix Form by Thomas F. Jordan Pdf

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.

The Historical Development of Quantum Theory

Jagdish Mehra,Helmut Rechenberg
The Historical Development of Quantum Theory Book PDF

Author : Jagdish Mehra,Helmut Rechenberg
Publisher : Springer Science & Business Media
Page : 346 pages
File Size : 40,9 Mb
Release : 2000-12-28
Category : Science
ISBN : 0387951776

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The Historical Development of Quantum Theory by Jagdish Mehra,Helmut Rechenberg Pdf

Quantum Theory, together with the principles of special and general relativity, constitute a scientific revolution that has profoundly influenced the way in which we think about the universe and the fundamental forces that govern it. The Historical Development of Quantum Theory is a definitive historical study of that scientific work and the human struggles that accompanied it from the beginning. Drawing upon such materials as the resources of the Archives for the History of Quantum Physics, the Niels Bohr Archives, and the archives and scientific correspondence of the principal quantum physicists, as well as Jagdish Mehra's personal discussions over many years with most of the architects of quantum theory, the authors have written a rigorous scientific history of quantum theory in a deeply human context. This multivolume work presents a rich account of an intellectual triumph: a unique analysis of the creative scientific process. The Historical Development of Quantum Theory is science, history, and biography, all wrapped in the story of a great human enterprise. Its lessons will be an aid to those working in the sciences and humanities alike.

A Modern Approach to Quantum Mechanics

John S. Townsend
A Modern Approach to Quantum Mechanics Book PDF

Author : John S. Townsend
Publisher : University Science Books
Page : 498 pages
File Size : 53,7 Mb
Release : 2000
Category : Science
ISBN : 1891389130

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A Modern Approach to Quantum Mechanics by John S. Townsend Pdf

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.

Linear Operators for Quantum Mechanics

Thomas F. Jordan
Linear Operators for Quantum Mechanics Book PDF

Author : Thomas F. Jordan
Publisher : Courier Corporation
Page : 162 pages
File Size : 45,5 Mb
Release : 2012-09-20
Category : Science
ISBN : 9780486140544

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Linear Operators for Quantum Mechanics by Thomas F. Jordan Pdf

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.

The Matrix Perturbation Method in Quantum Mechanics

Francisco Soto-Eguibar,Braulio Misael Villegas-Martínez,Héctor Manuel Moya-Cessa
The Matrix Perturbation Method in Quantum Mechanics Book PDF

Author : Francisco Soto-Eguibar,Braulio Misael Villegas-Martínez,Héctor Manuel Moya-Cessa
Publisher : Springer Nature
Page : 201 pages
File Size : 50,7 Mb
Release : 2024-02-20
Category : Science
ISBN : 9783031485466

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The Matrix Perturbation Method in Quantum Mechanics by Francisco Soto-Eguibar,Braulio Misael Villegas-Martínez,Héctor Manuel Moya-Cessa Pdf

This book provides an alternative approach to time-independent perturbation theory in non-relativistic quantum mechanics. It allows easy application to any initial condition because it is based on an approximation to the evolution operator and may also be used on unitary evolution operators for the unperturbed Hamiltonian in the case where the eigenvalues cannot be found. This flexibility sets it apart from conventional perturbation theory. The matrix perturbation method also gives new theoretical insights; for example, it provides corrections to the energy and wave function in one operation. Another notable highlight is the facility to readily derive a general expression for the normalization constant at m-th order, a significant difference between the approach within and those already in the literature. Another unique aspect of the matrix perturbation method is that it can be extended directly to the Lindblad master equation. The first and second-order corrections are obtained for this equation and the method is generalized for higher orders. An alternative form of the Dyson series, in matrix form instead of integral form, is also obtained. Throughout the book, several benchmark examples and practical applications underscore the potential, accuracy and good performance of this novel approach. Moreover, the method's applicability extends to some specific time-dependent Hamiltonians. This book represents a valuable addition to the literature on perturbation theory in quantum mechanics and is accessible to students and researchers alike.

Relativistic Quantum Mechanics and Field Theory

Franz Gross
Relativistic Quantum Mechanics and Field Theory Book PDF

Author : Franz Gross
Publisher : John Wiley & Sons
Page : 643 pages
File Size : 54,9 Mb
Release : 2008-07-11
Category : Science
ISBN : 9783527617340

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Relativistic Quantum Mechanics and Field Theory by Franz Gross Pdf

An accessible, comprehensive reference to modern quantum mechanics and field theory. In surveying available books on advanced quantum mechanics and field theory, Franz Gross determined that while established books were outdated, newer titles tended to focus on recent developments and disregard the basics. Relativistic Quantum Mechanics and Field Theory fills this striking gap in the field. With a strong emphasis on applications to practical problems as well as calculations, Dr. Gross provides complete, up-to-date coverage of both elementary and advanced topics essential for a well-rounded understanding of the field. Developing the material at a level accessible even to newcomers to quantum mechanics, the book begins with topics that every physicist should know-quantization of the electromagnetic field, relativistic one body wave equations, and the theoretical explanation of atomic decay. Subsequent chapters prepare readers for advanced work, covering such major topics as gauge theories, path integral techniques, spontaneous symmetry breaking, and an introduction to QCD, chiral symmetry, and the Standard Model. A special chapter is devoted to relativistic bound state wave equations-an important topic that is often overlooked in other books. Clear and concise throughout, Relativistic Quantum Mechanics and Field Theory boasts examples from atomic and nuclear physics as well as particle physics, and includes appendices with background material. It is an essential reference for anyone working in quantum mechanics today.

Principles of Quantum Mechanics

R. Shankar
Principles of Quantum Mechanics Book PDF

Author : R. Shankar
Publisher : Springer Science & Business Media
Page : 676 pages
File Size : 49,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781475705768

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Principles of Quantum Mechanics by R. Shankar Pdf

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.

Introduction to Quantum Mechanics

David J. Griffiths,Darrell F. Schroeter
Introduction to Quantum Mechanics Book PDF

Author : David J. Griffiths,Darrell F. Schroeter
Publisher : Cambridge University Press
Page : 512 pages
File Size : 51,6 Mb
Release : 2019-11-20
Category : Science
ISBN : 9781108103145

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Introduction to Quantum Mechanics by David J. Griffiths,Darrell F. Schroeter Pdf

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.

Quantum Mechanics

Edward G. Steward
Quantum Mechanics Book PDF

Author : Edward G. Steward
Publisher : Imperial College Press
Page : 280 pages
File Size : 50,5 Mb
Release : 2008
Category : Science
ISBN : 9781860949777

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Quantum Mechanics by Edward G. Steward Pdf

"This book provides the reader with an explanation of the origin and establishment of quantum mechanics, with the mathematics in a digestible form, together with a descriptive survey of later developments up to the present day. The mathematical treatment closely follows the original treatment, but in modern terms, using uniform symbolism as much as possible and with simplifications (e.g. the use of one dimension instead of three) to avoid unnecessarily complicated-looking mathematics." "Containing an extensive bibliography and useful appendices as well as references to original works, reviews, and biographies, the reader is well-equipped to delve further into the subject. In addition to its importance for those studying physics, it is also valuable for those studying the history of science."--Jacket.

The Principles of Quantum Mechanics

Paul Adrien Maurice Dirac
The Principles of Quantum Mechanics Book PDF

Author : Paul Adrien Maurice Dirac
Publisher : Oxford University Press
Page : 340 pages
File Size : 52,6 Mb
Release : 1981
Category : Science
ISBN : 0198520115

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The Principles of Quantum Mechanics by Paul Adrien Maurice Dirac Pdf

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 the chapter on quantum electrodymanics, to bring in electron-pair creation. This makes it suitable as an introduction to recent works on quantum field theories.

Quantum Mechanics

Thomas Banks
Quantum Mechanics Book PDF

Author : Thomas Banks
Publisher : CRC Press
Page : 760 pages
File Size : 50,9 Mb
Release : 2018-12-07
Category : Science
ISBN : 9780429796999

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Quantum Mechanics by Thomas Banks Pdf

This authoritative, advanced introduction provides a complete, modern perspective on quantum mechanics. It clarifies many common misconceptions regarding wave/particle duality and the correct interpretation of measurements. The author develops the text from the ground up, starting from the fundamentals and presenting information at an elementary level, avoiding unnecessarily detailed and complex derivations in favor of simple, clear explanations. He begins in the simplest context of a two-state system and shows why quantum mechanics is inevitable, and what its relationship is to classical mechanics. He also outlines the decoherence approach to interpreting quantum mechanics. Distinguishing features: Provides a thorough grounding in the principles and practice of quantum mechanics, including a core understanding of the behavior of atoms, molecules, solids, and light. Utilizes easy-to-follow examples and analogies to illustrate important concepts. Helps develop an intuitive sense for the field, by guiding the reader to understand how the correct formulas reduce to the non-relativistic ones. Includes numerous worked examples and problems for each chapter.

Many-Body Quantum Theory in Condensed Matter Physics

Henrik Bruus,Karsten Flensberg,ØRsted Laboratory Niels Bohr Institute Karsten Flensberg
Many Body Quantum Theory in Condensed Matter Physics Book PDF

Author : Henrik Bruus,Karsten Flensberg,ØRsted Laboratory Niels Bohr Institute Karsten Flensberg
Publisher : Oxford University Press
Page : 458 pages
File Size : 46,7 Mb
Release : 2004-09-02
Category : Science
ISBN : 9780198566335

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Many-Body Quantum Theory in Condensed Matter Physics by Henrik Bruus,Karsten Flensberg,ØRsted Laboratory Niels Bohr Institute Karsten Flensberg Pdf

The book is an introduction to quantum field theory applied to condensed matter physics. The topics cover modern applications in electron systems and electronic properties of mesoscopic systems and nanosystems. The textbook is developed for a graduate or advanced undergraduate course with exercises which aim at giving students the ability to confront real problems.

The Formulation of Matrix Mechanics and Its Modifications 1925–1926

Jagdish Mehra,Helmut Rechenberg
The Formulation of Matrix Mechanics and Its Modifications 1925 1926 Book PDF

Author : Jagdish Mehra,Helmut Rechenberg
Publisher : Springer
Page : 354 pages
File Size : 41,9 Mb
Release : 1982-11-15
Category : Science
ISBN : 0387906754

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The Formulation of Matrix Mechanics and Its Modifications 1925–1926 by Jagdish Mehra,Helmut Rechenberg Pdf

Quantum Theory, together with the principles of special and general relativity, constitute a scientific revolution that has profoundly influenced the way in which we think about the universe and the fundamental forces that govern it. The Historical Development of Quantum Theory is a definitive historical study of that scientific work and the human struggles that accompanied it from the beginning. Drawing upon such materials as the resources of the Archives for the History of Quantum Physics, the Niels Bohr Archives, and the archives and scientific correspondence of the principal quantum physicists, as well as Jagdish Mehra's personal discussions over many years with most of the architects of quantum theory, the authors have written a rigorous scientific history of quantum theory in a deeply human context. This multivolume work presents a rich account of an intellectual triumph: a unique analysis of the creative scientific process. The Historical Development of Quantum Theory is science, history, and biography, all wrapped in the story of a great human enterprise. Its lessons will be an aid to those working in the sciences and humanities alike.

General Principles of Quantum Mechanics

Wolfgang Pauli
General Principles of Quantum Mechanics Book PDF

Author : Wolfgang Pauli
Publisher : Springer Science & Business Media
Page : 222 pages
File Size : 55,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642618406

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General Principles of Quantum Mechanics by Wolfgang Pauli Pdf

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.