Equivalence between the real-time Feynman histories and the quantum-shutter approaches for the 'passage time' in tunneling

Journal Article · Thu May 01 00:00:00 EDT 2003 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.67.052106· OSTI ID:20636345

Garcia-Calderon, Gaston ^[1]; Villavicencio, Jorge ^[2]; Yamada, Norifumi ^[3]

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1. Instituto de Fisica, Universidad Nacional Autonoma de Mexico, Apartado Postal 20 364, 01000 Mexico, Distrito Federal (Mexico)
2. Facultad de Ciencias, Universidad Autonoma de Baja California, Apartado Postal 1880, 22800 Ensenada, Baja California (Mexico)
3. Department of Information Science, Fukui University, 3-9-1 Bunkyo, Fukui 910-8507 (Japan)

We show the equivalence of the functions G{sub p}(t) and vertical bar {psi}(d,t) vertical bar{sup 2} for the 'passage time' in tunneling. The former, obtained within the framework of the real-time Feynman histories approach to the tunneling time problem, uses the Gell-Mann and Hartle's decoherence functional, and the latter involves an exact analytical solution to the time-dependent Schroedinger equation for cutoff initial waves.

• OSTI ID: 20636345
• Journal Information: Physical Review. A, Vol. 67, Issue 5; Other Information: DOI: 10.1103/PhysRevA.67.052106; (c) 2003 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
ANALYTICAL SOLUTION
PROBABILITY
QUANTUM MECHANICS
SCHROEDINGER EQUATION
TIME DEPENDENCE
TUNNEL EFFECT