Tunnelling out of a time-dependent well

Journal of Physics A: Mathematical and General

Volumn 38, Issue 26, 2005, Pages 5993-6003

  Kramer, Tobias ^a,b   Moshinsky, Marcos ^a  

^a UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO   (Mexico)

^b TECHNICAL UNIVERSITY OF MUNICH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21244432404     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/38/26/011     Document Type: Article

References (21)

1. Grosche C and Steiner F 1998 Handbook of Feynman Path Integrals (Springer Tracts in Modern Physics vol 145) (Berlin: Springer)
2. Moshinsky M 1952 Diffraction in time Phys. Rev. 88 625-31
3. Kleber M 1994 Exact solutions for time-dependent phenomena in quantum mechanics Phys. Rep. 236 331-93
4. Kramer T, Bracher C and Kleber M 2002 Matter waves from quantum sources in a force field J. Phys. A: Math. Gen. 35 8361-72
5. Dodonov V V, Man'ko V I and Nikonov D E 1992 Exact propagators for time-dependent Coulomb, delta and other potentials Phys. Lett. A 162 359-64
6. Ray J R 1982 Exact solution to the time-dependent Schrödinger equation Phys. Rev. A 26 729-33
7. Maitra N T and Heller E J 1997 Barrier tunnelling and reflection in the time and energy domains: the battle of the exponentials Phys. Rev. Lett. 78 3035-8
8. Saltzer M and Ankerhold J 2003 Semiclassical tunneling in real time: wave-packet dynamics in static and driven barrier potentials Phys. Rev. A 68 042108
9. Elberfeld W and Kleber M 1988 Tunneling from an ultrathin quantum well in a strong electrostatic field: a comparison of different methods Z. Phys. B 73 23-32
10. Andreata M A and Dodonov V V 2004 Tunnelling of narrow Gaussian packets through delta potentials J. Phys. A: Math. Gen. 37 2423-38
11. Kennard E H 1927 Zur Quantenmechanik einfacher Bewegungstypen Z. Phys. 44 326-52
12. Nussenzveig H M 1992 Symmetries in Physics ed A Frank and K B Wolf (New York: Springer) pp 293-310
13. Economou E N 1983 Green's Functions in Quantum Physics (Solid-State Sciences vol 7) (Berlin: Springer)
14. Abramowitz M and Stegun I A 1965 Handbook of Mathematical Functions (New York: Dover)
15. Gradshteyn I S and Ryzhik I M 1994 Table of Integrals, Series, and Products (New York: Academic)
16. Ludviksson A 1987 A simple model for a decaying quantum state J. Phys. A: Math. Gen. 20 4733-8
17. Cennini G, Ritt G, Geckeler C and Weitz M 2003 All-optical realization of an atom laser Phys. Rev. Lett. 91 240408
18. Cennini G 2004 Field-insensitive Bose-Einstein condensates and an all-optical atom laser PhD Thesis Universität Tübingen Online: http://w210.ub.uni-tuebingen.de/dbt/volltexte/2004/1447/urn:nbn:de:bsz: 21-opus-14474
19. Jauslin H R 1988 Exact propagator and eigenfunctions for multistable models with arbitrarily prescribed n lowest eigenvalues J. Phys. A: Math. Gen. 21 2337-50
20. Weitz M 2005 private communication
21. Schonfeld J F, Kwong W, Rosner J L, Quigg C and Thacker H B 1980 On the convergence of reflectionless approximations to confining potentials Ann. Phys., NY 128 1-28