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Topics in Quantum Mechanics (Progress in Mathematical Physics) (en Inglés)
Floyd L. Williams; F. Williams (Autor)
·
Birkhäuser
· Tapa Dura
Topics in Quantum Mechanics (Progress in Mathematical Physics) (en Inglés) - Floyd L. Williams; F. Williams
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Reseña del libro "Topics in Quantum Mechanics (Progress in Mathematical Physics) (en Inglés)"
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 schrödinger 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 schrödinger quantization, paulis 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 of so-called pure mathematics, including number theory, to various problems arising in physics. an excellent resource for classroom or self-study.
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