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Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
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Topics in Quantum Mechanics (Hardcover, 2003 ed.)
Loot Price: R1,365
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Topics in Quantum Mechanics (Hardcover, 2003 ed.)
Series: Progress in Mathematical Physics, 27
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The theories of quantum fields and strings have had a fruitful
impact on certain exciting developments in mathematics and have
sparked mathematicians' interest in further understanding some of
the basic elements of these grand physical theories. This
self-contained text presents quantum mechanics from the point of
view of some computational examples with a mixture of mathematical
clarity often not found in texts offering only a purely physical
point of view. Emphasis is placed on the systematic application of
the Nikiforov--Uvarov theory of generalized hypergeometric
differential equations to solve the SchrAdinger equation and to
obtain the quantization of energies from a single unified point of
view. This theory is developed and is also used to give a uniform
approach to the theory of special functions. Additional key
features: * Considerable material is devoted to the foundations of
classical mechanics using conventional mathematical terminology *
The first 10 chapters of Part I cover Planck and SchrAdinger
quantization, Pauli's spin functions, and an introduction to
multielectron atoms * Part II treats such topics as Feynman path
integrals, quantum statistical partition functions, high and low
temperature asymptotics of quantum fields of over a negatively
curved space-time * Selected special topics involve some
applications of the theory of automorphic forms, zeta functions,
the Jacobi inversion formula, spherical harmonic analysis and the
Selberg trace formula * Excellent bibliography and index.
Communication between physicists and mathematicians requires
continual bridges to eliminate the divide. This monograph furthers
that goal in presenting some new and exciting applications
ofso-called pure mathematics, including number theory, to various
problems arising in physics. An excellent resource for classroom or
self-study.
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