Using Mathematica For Quantum Mechanics

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Using Mathematica For Quantum Mechanics

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Author : Roman Schmied
language : en
Publisher: Springer Nature
Release Date : 2019-09-28

Using Mathematica For Quantum Mechanics written by Roman Schmied and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-28 with Science categories.

This book revisits many of the problems encountered in introductory quantum mechanics, focusing on computer implementations for finding and visualizing analytical and numerical solutions. It subsequently uses these implementations as building blocks to solve more complex problems, such as coherent laser-driven dynamics in the Rubidium hyperfine structure or the Rashba interaction of an electron moving in 2D. The simulations are highlighted using the programming language Mathematica. No prior knowledge of Mathematica is needed; alternatives, such as Matlab, Python, or Maple, can also be used.

Quantum Theory For Mathematicians

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Author : Brian C. Hall
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-19

Quantum Theory For Mathematicians written by Brian C. Hall and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-19 with Science categories.

Although ideas from quantum physics play an important role in many parts of modern mathematics, there are few books about quantum mechanics aimed at mathematicians. This book introduces the main ideas of quantum mechanics in language familiar to mathematicians. Readers with little prior exposure to physics will enjoy the book's conversational tone as they delve into such topics as the Hilbert space approach to quantum theory; the Schrödinger equation in one space dimension; the Spectral Theorem for bounded and unbounded self-adjoint operators; the Stone–von Neumann Theorem; the Wentzel–Kramers–Brillouin approximation; the role of Lie groups and Lie algebras in quantum mechanics; and the path-integral approach to quantum mechanics. The numerous exercises at the end of each chapter make the book suitable for both graduate courses and independent study. Most of the text is accessible to graduate students in mathematics who have had a first course in real analysis, covering the basics of L2 spaces and Hilbert spaces. The final chapters introduce readers who are familiar with the theory of manifolds to more advanced topics, including geometric quantization.

Mathematica For Physics

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Author : Robert L. Zimmerman
language : en
Publisher: Addison Wesley Publishing Company
Release Date : 1995-01

Mathematica For Physics written by Robert L. Zimmerman and has been published by Addison Wesley Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-01 with Science categories.

Mathematica is a mathematical software system for researchers, students and anyone seeking an effective tool for mathematical analysis. This text aims to help readers learn the software in the context of solving physics problems. The graphical capabilities of Mathematica are emphasized and the readers are encouraged to use their intuition for the physics behind the problem.

Quantum Mechanics In Matrix Form

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Author : Günter Ludyk
language : en
Publisher: Springer
Release Date : 2017-10-25

Quantum Mechanics In Matrix Form written by Günter Ludyk and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-25 with Science categories.

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.

Mathematics Of Classical And Quantum Physics

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Author : Frederick W. Byron
language : en
Publisher: Courier Corporation
Release Date : 2012-04-26

Mathematics Of Classical And Quantum Physics written by Frederick W. Byron and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-26 with Science categories.

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.

Quantum Methods With Mathematica

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Author : James F. Feagin
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-01-08

Quantum Methods With Mathematica written by James F. Feagin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-01-08 with Science categories.

Feagin's book was the first publication dealing with Quantum Mechanics using Mathematica, the popular software distributed by Wolfram Research, and designed to facilitate scientists and engineers to do difficult scientific computations more quickly and more easily. Quantum Methods with Mathematica, the first book of ist kind, has achieved worldwide success and critical acclaim.

Mathematical Topics Between Classical And Quantum Mechanics

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Author : Nicholas P. Landsman
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Mathematical Topics Between Classical And Quantum Mechanics written by Nicholas P. Landsman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.

Subject Matter The original title of this book was Tractatus Classico-Quantummechanicus, but it was pointed out to the author that this was rather grandiloquent. In any case, the book discusses certain topics in the interface between classical and quantum mechanics. Mathematically, one looks for similarities between Poisson algebras and symplectic geometry on the classical side, and operator algebras and Hilbert spaces on the quantum side. Physically, one tries to understand how a given quan tum system is related to its alleged classical counterpart (the classical limit), and vice versa (quantization). This monograph draws on two traditions: The algebraic formulation of quan tum mechanics and quantum field theory, and the geometric theory of classical mechanics. Since the former includes the geometry of state spaces, and even at the operator-algebraic level more and more submerges itself into noncommutative geometry, while the latter is formally part of the theory of Poisson algebras, one should take the words "algebraic" and "geometric" with a grain of salt! There are three central themes. The first is the relation between constructions involving observables on one side, and pure states on the other. Thus the reader will find a unified treatment of certain aspects of the theory of Poisson algebras, oper ator algebras, and their state spaces, which is based on this relationship.

Lectures On Quantum Mechanics

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Author : Philip L. Bowers
language : en
Publisher: Cambridge University Press
Release Date : 2020-09-17

Lectures On Quantum Mechanics written by Philip L. Bowers and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-17 with Science categories.

A leisurely but mathematically honest presentation of quantum mechanics for graduate students in mathematics with an interest in physics.

Mathematical Foundations Of Quantum Mechanics

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Author : John von Neumann
language : en
Publisher: Princeton University Press
Release Date : 1955

Mathematical Foundations Of Quantum Mechanics written by John von Neumann and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1955 with Mathematics categories.

A revolutionary book that for the first time provided a rigorous mathematical framework for quantum mechanics. -- Google books