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Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
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Operator Methods in Quantum Mechanics (Hardcover)
Loot Price: R2,747
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Operator Methods in Quantum Mechanics (Hardcover)
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Quantum mechanical problems capable of exact solution are
traditionally solved in a few instances only (such as the harmonic
oscillator and angular momentum) by operator methods, but mainly by
means of Schrodinger's wave mechanics. The present volume shows
that a large range of one- and three- dimensional problems,
including certain relativistic ones, are solvable by algebraic,
representation-independent methods using commutation relations,
shift operators, the viral, hyperviral, and Hellman-Feynman
theorems. Applications of these operator methods to the calculation
of eigenvalues, matrix elements, and wavefunctions are discussed in
detail. This volume provides an outstanding introduction to the use
of operator methods in quantum mechanics, and also serves as a
reference work on this topic. As such it is an excellent complement
to senior and graduate courses in quantum mechanics. Although
primarily a book on applications of operator methods, the
presentation is made self-contained by the inclusion of an
introductory chapter on the formalism of quantum mechanics.
Additional background material supplements the volume at various
points in the text. Although there has been much research on
operator methods to solve quantum mechanical problems, until now
many of these results have remained scattered throughout the
literature. Nonspecialists, as well as graduate and upper division
students in physics will find this accessible volume to be
essential reading in theoretical physics.
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