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Half-Cycle Pulse Acting on a One-Dimensional Rydberg Atom: Semiclassical Transition Amplitudes in Action and Angle Variables
Schwieters, C. D. Delos, John B.
Schwieters, C. D.
Delos, John B.
Abstract
In this paper we derive the expression for the transition coefficient used in the preceding paper [C. D. Schwieters and J. B. Delos, Phys. Rev. A 51, 1023 (1995)] for principal-quantum-number transitions in one-dimensional hydrogen caused by half-cycle pulses. We briefly review the methods of Miller [Adv. Chem. Phys. 25, 69 (1974)] and Marcus [Chem. Phys. Lett. 7, 525 (1970); J. Chem. Phys. 54, 3965 (1971)], and then derive the result using the methods of Maslov and Fedoriuk [Semi-Classical Approximation in Quantum Mechanics, (Reidel, Dordrecht, 1981)]. Also, we examine the approximate reduction of hydrogen from three to one dimension and we find a hitherto unknown correction due to the residual motion of one of the ignored degrees of freedom. We discuss the regime of validity of this one-dimensional approximation.
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1995-02-01
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American Physical Society
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Half_cycle.pdf
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Physics
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https://doi.org/10.1103/PhysRevA.51.1030