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Introductory quantum mechanicsa trad...

Berman, Paul R.

Introductory quantum mechanicsa traditional approach emphasizing connections with classical physics /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Introductory quantum mechanicsby Paul R. Berman.
Reminder of title:	a traditional approach emphasizing connections with classical physics /
Author:	Berman, Paul R.
Published:	Cham :Springer International Publishing :2018.
Description:	xvi, 637 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Quantum theory.
Online resource:	http://dx.doi.org/10.1007/978-3-319-68598-4
ISBN:	9783319685984$q(electronic bk.)

Introductory quantum mechanicsa traditional approach emphasizing connections with classical physics /
Berman, Paul R.

Introductory quantum mechanicsa traditional approach emphasizing connections with classical physics /[electronic resource] :by Paul R. Berman. - Cham :Springer International Publishing :2018. - xvi, 637 p. :ill. (some col.), digital ;24 cm. - UNITEXT for physics,2198-7882. - UNITEXT for physics..

Introduction -- Mathematical Introduction -- Free Particle Schroedinger Equation - Free-Particle Wave Packets -- Schroedinger's Equation with Potential Energy: Introduction to Operators -- Postulates and Basic Elements of Quantum Mechanics: Properties of Operators -- Problems in 1-dimension: General Considerations, Infinite Well Potential, Piecewise Constant Potentials, and Delta Function Potentials -- Simple Harmonic Oscillator - One Dimension -- Problems in 2 and 3-dimensions - General Considerations -- Central Forces and Angular Momentum -- Spherically Symmetric Potentials - Radial Equation -- Dirac Notation -- Spin -- Important Basics from Phys 453 -- Perturbation Theory -- Variational Approach -- WKB Approximation -- Scattering - 1-D -- Scattering - 3-D -- Symmetries and Transformations -- Rotations - Examples -- Addition of Angular Momentum: Clebsch-Gordan Coefficients -- Vector and Tensor Operators: Wigner-Eckart Theorem -- Spin-Orbit Interactions - Hydrogen Atom with Spin in External Fields -- Time-Dependent Problems -- Approximation Techniques in Time-Dependent Problems -- Fermi's Golden Rule.

This book presents a basic introduction to quantum mechanics at the undergraduate level. Depending on the choice of topics, it can be used for a one-semester or two-semester course. An attempt has been made to anticipate the conceptual problems students encounter when they first study quantum mechanics. Wherever possible, examples are given to illustrate the underlying physics associated with the mathematical equations of quantum mechanics. To this end, connections are made with corresponding phenomena in classical mechanics and electromagnetism. The problems at the end of each chapter are intended to help students master the course material and to explore more advanced topics. Many calculations exploit the extraordinary capabilities of computer programs such as Mathematica, MatLab, and Maple. Students are urged to use these programs, just as they had been urged to use calculators in the past. The treatment of various topics is rather complete, in that most steps in derivations are included. Several of the chapters go beyond what is traditionally covered in an introductory course. The goal of the presentation is to provide the students with a solid background in quantum mechanics.

ISBN: 9783319685984$q(electronic bk.)

Standard No.: 10.1007/978-3-319-68598-4doiSubjects--Topical Terms:

199020
Quantum theory.

LC Class. No.: QC174.12

Dewey Class. No.: 530.12

Introductory quantum mechanicsa traditional approach emphasizing connections with classical physics /
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505 0 $a Introduction -- Mathematical Introduction -- Free Particle Schroedinger Equation - Free-Particle Wave Packets -- Schroedinger's Equation with Potential Energy: Introduction to Operators -- Postulates and Basic Elements of Quantum Mechanics: Properties of Operators -- Problems in 1-dimension: General Considerations, Infinite Well Potential, Piecewise Constant Potentials, and Delta Function Potentials -- Simple Harmonic Oscillator - One Dimension -- Problems in 2 and 3-dimensions - General Considerations -- Central Forces and Angular Momentum -- Spherically Symmetric Potentials - Radial Equation -- Dirac Notation -- Spin -- Important Basics from Phys 453 -- Perturbation Theory -- Variational Approach -- WKB Approximation -- Scattering - 1-D -- Scattering - 3-D -- Symmetries and Transformations -- Rotations - Examples -- Addition of Angular Momentum: Clebsch-Gordan Coefficients -- Vector and Tensor Operators: Wigner-Eckart Theorem -- Spin-Orbit Interactions - Hydrogen Atom with Spin in External Fields -- Time-Dependent Problems -- Approximation Techniques in Time-Dependent Problems -- Fermi's Golden Rule.
520 $a This book presents a basic introduction to quantum mechanics at the undergraduate level. Depending on the choice of topics, it can be used for a one-semester or two-semester course. An attempt has been made to anticipate the conceptual problems students encounter when they first study quantum mechanics. Wherever possible, examples are given to illustrate the underlying physics associated with the mathematical equations of quantum mechanics. To this end, connections are made with corresponding phenomena in classical mechanics and electromagnetism. The problems at the end of each chapter are intended to help students master the course material and to explore more advanced topics. Many calculations exploit the extraordinary capabilities of computer programs such as Mathematica, MatLab, and Maple. Students are urged to use these programs, just as they had been urged to use calculators in the past. The treatment of various topics is rather complete, in that most steps in derivations are included. Several of the chapters go beyond what is traditionally covered in an introductory course. The goal of the presentation is to provide the students with a solid background in quantum mechanics.
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