Time-Dependent Quantum Mechanical Problems Solvable by Contour Integration
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.
KeywordsSaddle Point Principal Quantum Number Coulomb Field Electron Detachment Closed Analytical Form
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