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Exponential Decay for Perturbations of Pure Point Hamiltonians

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Book cover Stochastic Analysis and Mathematical Physics II

Part of the book series: Trends in Mathematics ((TM))

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Abstract

The usual mathematical formalism for Quantum Mechanics considers a self-adjoint operator H acting on a Hilbert space H. The unit vectors of H are the states of the quantum system and if φ, is the initial state, then e -iHt φ is the state at time t.

This work is partially supported by Fondecyt 1000630, 1000811. Cátedra Presidencial en Ciencias en Análisis Cualitativo de Sistemas Dinámicos.

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References

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© 2003 Springer Basel AG

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Fernández, C., Prado, H. (2003). Exponential Decay for Perturbations of Pure Point Hamiltonians. In: Rebolledo, R. (eds) Stochastic Analysis and Mathematical Physics II. Trends in Mathematics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8018-3_7

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  • DOI: https://doi.org/10.1007/978-3-0348-8018-3_7

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9405-0

  • Online ISBN: 978-3-0348-8018-3

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