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Time-Dependent Quantum Mechanical Problems Solvable by Contour Integration

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Zero-Range Potentials and Their Applications in Atomic Physics

Part of the book series: Physics of Atoms and Molecules ((PAMO))

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Abstract

Only a few quantum mechanical problems are known with a time-dependent Hamiltonian H(t) whose solutions can be expressed in a closed analytical form, and an extension of the list of such problems is of great interest to many particular branches of physics. In this chapter, we shall show that a rather wide class of time-dependent quantum mechanical problems can be solved in a closed form if the method of contour integration is applied to construct the solution.

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© 1988 Plenum Press, New York

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Demkov, Y.N., Ostrovskii, V.N. (1988). Time-Dependent Quantum Mechanical Problems Solvable by Contour Integration. In: Zero-Range Potentials and Their Applications in Atomic Physics. Physics of Atoms and Molecules. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-5451-2_9

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  • DOI: https://doi.org/10.1007/978-1-4684-5451-2_9

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-5453-6

  • Online ISBN: 978-1-4684-5451-2

  • eBook Packages: Springer Book Archive

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