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Jueves 1 de marzo de 2012 Clase 13 de 1:30 horas. Van 19:30 horas

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Advanced Quantum Theory Paul Roman.Addison-Wesley, 1965. ISBN 0201064952 Quantum Mechanics, Concepts and Applications N. Zettili; Wiley 2001 Quantum mechanics. Second edition V.G. Thankappan. New Age, 1993. 9788122425000 Quantum Physics F. Scheck. Springer, 2007 Essential Quantum Mechanics Gary E. Bowman, 2008, Oxford University Press 0199228922 Introduction to Quantum Mechanics D. Griffiths. Prentice Hall 1995. ISBN 0131244051 Principles of quantum mechanics. Second edition R. Shankar 0306447908

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I. Introducción 1.1 La ecuación de Schrödinger 1.2 Problemas unidimensionales 1.2.1 La partícula libre 1.2.2 Pozos 1.2.3 Barreras y tuneleo 1.2.4 El oscilador armónico II. El formalismo de la Mecánica Cuántica III. Descripción cuántica del átomo. IV. Interacción semiclásica átomo-radiación.

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A complete set of commuting operators is deﬁned to be a maximal set of independent commuting Hermitean operators. Any state can be uniquely expanded in terms of the eigenfunctions of a complete set of commuting Hermitean operators. What exactly constitutes a complete set of operators depends upon the physical space, i.e. whether it is one-dimensional, two-dimensional or three-dimensional, and whether there is an intrinsic space associated with the particle such as spin. If the set is not complete then one can add another independent operator to the set until the set becomes complete. A state which corresponds to an eigenfunction of a complete set of commuting operators is uniquely determined and is completely deﬁned without any remaining arbitrariness. By successively adding operators to a set of independent commuting operators, one has reduced the degeneracy until the simultaneous eigenvalues are non-degenerate and the set of operators is complete Quantum Mechanics I Peter S. Riseborough April 19, 2011

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