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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, ISBN Quantum Mechanics, Concepts and Applications N. Zettili; Wiley 2001 Quantum mechanics. Second edition V.G. Thankappan. New Age, Quantum Physics F. Scheck. Springer, 2007 Essential Quantum Mechanics Gary E. Bowman, 2008, Oxford University Press Introduction to Quantum Mechanics D. Griffiths. Prentice Hall ISBN Principles of quantum mechanics. Second edition R. Shankar

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I. Introducción 1.1 La ecuación de Schrödinger 1.2 Problemas unidimensionales La partícula libre Pozos Barreras y tuneleo 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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