Document Type
Article
Department/Program
Physics
Journal Title
Physical Review A
Pub Date
2-1995
Publisher
American Physical Society
Volume
51
Issue
2
First Page
1030
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.
Recommended Citation
Schwieters, C. D. and Delos, John B., Half-Cycle Pulse Acting on a One-Dimensional Rydberg Atom: Semiclassical Transition Amplitudes in Action and Angle Variables (1995). Physical Review A, 51(2), 1030-1041.
https://doi.org/10.1103/PhysRevA.51.1030
DOI
https://doi.org/10.1103/PhysRevA.51.1030
