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Student Mathematical Library: Lectures on Quantum Mechanics for Mathematics Students by O. A. Yakubovskii and L. D. Faddeev (2009, Trade Paperback)

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LECTURES ON QUANTUM MECHANICS FOR MATHEMATICS STUDENTS (STUDENT MATHEMATICAL LIBRARY) By L. D. Faddeev And O. A. Yakubovskii **BRAND NEW**.

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Product Information

This volume is based on notes from the course developed and taught for more than 30 years at the Department of Mathematics at Leningrad University. The goal of the course was to present quantum mechanics and its mathematical context to students in mathematics.

Product Identifiers

Publisher
American Mathematical Society
ISBN-10
082184699x
ISBN-13
9780821846995
eBay Product ID (ePID)
17038437006

Product Key Features

Author
O. A. Yakubovskii, L. D. Faddeev
Publication Name
Lectures on Quantum Mechanics for Mathematics Students
Format
Trade Paperback
Language
English
Publication Year
2009
Series
Student Mathematical Library
Type
Textbook
Number of Pages
234 Pages

Additional Product Features

Series Volume Number
47
Lc Classification Number
Qc174.125.F3213 2009
Table of Content
The algebra of observables in classical mechanics; States; Liouville's theorem, and two pictures of motion in classical mechanics; Physical bases of quantum mechanics; A finite-dimensional model of quantum mechanics; States in quantum mechanics; Heisenberg uncertainty relations; Physical meaning of the eigenvalues and eigenvectors of observables; Two pictures of motion in quantum mechanics. The Schrodinger equation. Stationary states; Quantum mechanics of real systems. The Heisenberg commutation relations; Coordinate and momentum representations; ''Eigenfunctions'' of the operators $Q$ and $P$; The energy, the angular momentum, and other examples of observables; The interconnection between quantum and classical mechanics. Passage to the limit from quantum mechanics to classical mechanics; One-dimensional problems of quantum mechanics. A free one-dimensional particle; The harmonic oscillator; The problem of the oscillator in the coordinate representation; Representation of the states of a one-dimensional particle in the sequence space $l_2$; Representation of the states for a one-dimensional particle in the space $\mathcal{D}$ of entire analytic functions; The general case of one-dimensional motion; Three-dimensional problems in quantum mechanics. A three-dimensional free particle; A three-dimensional particle in a potential field; Angular momentum; The rotation group; Representations of the rotation group; Spherically symmetric operators; Representation of rotations by $2 imes2$ unitary matrices; Representation of the rotation group on a space of entire analytic functions of two complex variables; Uniqueness of the representations $D_j$; Representations of the rotation group on the space $L^2(S^2)$. Spherical functions; The radial Schrodinger equation; The hydrogen atom. The alkali metal atoms; Perturbation theory; The variational principle; Scattering theory. Physical formulation of the problem; Scattering of a one-dimensional particle by a potential barrier; Physical meaning of the solutions $\psi_1$ and $\psi_2$; Scattering by a rectangular barrier; Scattering by a potential center; Motion of wave packets in a central force field; The integral equation of scattering theory; Derivation of a formula for the cross-section; Abstract scattering theory; Properties of commuting operators; Representation of the state space with respect to a complete set of observables; Spin; Spin of a system of two electrons; Systems of many particles. The identity principle; Symmetry of the coordinate wave functions of a system of two electrons. The helium atom; Multi-electron atoms. One-electron approximation; The self-consistent field equations; Mendeleev's periodic system of the elements; Lagrangian formulation of classical mechanics.
Copyright Date
2009
Target Audience
Scholarly & Professional
Topic
Physics / Quantum Theory
Lccn
2008-052385
Dewey Decimal
530.12
Dewey Edition
22
Illustrated
Yes
Genre
Science

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item 1 Lectures on Quantum Mechanics for ... by Yakubovskii, O. A. Paperback / softback
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Student Mathematical Library: Lectures on Quantum Mechanics for Mathematics Students by O. A. Yakubovskii and L. D. Faddeev (2009, Trade Paperback)

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Product Identifiers

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All listings for this product

item 1 Lectures on Quantum Mechanics for ... by Yakubovskii, O. A. Paperback / softback

item 2 Lectures on Quantum Mechanics for ... by Yakubovskii, O. A. Paperback / softback

item 3 Lectures on Quantum Mechanics for - Paperback, by L. D. Faddeev - Good

item 4 Lectures on Quantum Mechanics for Mathematics Students (Student Mathematical Li,

item 5 LECTURES ON QUANTUM MECHANICS FOR MATHEMATICS STUDENTS By L. D. Faddeev And O.

item 6 O. A. Yakubovsk Lectures on Quantum Mechanics for Mathe (Paperback) (UK IMPORT)

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