Phys. Rev. D 60, 076004 (1999) [13 pages]

Semiclassical description of tunneling in scattering with multiple degrees of freedom

Abstract

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G. F. Bonini^1,*, A. G. Cohen^2,†, C. Rebbi^2,‡, and V. A. Rubakov^3,§
¹Institut für Theoretische Physik, University of Heidelberg, D-69120 Heidelberg, Germany
²Department of Physics, Boston University, Boston, Massachusetts 02215
³Institute for Nuclear Research of the Russian Academy of Sciences, Moscow, Ru-117312, Russian Federation

Received 7 January 1999; published 8 September 1999

We describe a computational investigation of tunneling at finite energy in a weakly coupled quantum mechanical system with two degrees of freedom. We compare a full quantum mechanical analysis to the results obtained by making use of a semiclassical technique developed in the context of instanton-like transitions in quantum field theory. This latter technique is based on an analytic continuation of the degrees of freedom into a complex phase space and the simultaneous analytic continuation of the equations of motion into the complex time plane.

URL:

http://link.aps.org/doi/10.1103/PhysRevD.60.076004

DOI:

10.1103/PhysRevD.60.076004

PACS:

03.65.Sq, 02.70.-c

^*Email address: bonini@thphys.uni-heidelberg.de

^†Email address: cohen@bu.edu

^‡Email address: rebbi@bu.edu

^§Email address: rubakov@ms2.inr.ac.ru

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Phys. Rev. D 60, 076004 (1999) [13 pages]

Semiclassical description of tunneling in scattering with multiple degrees of freedom