Low-energy relativistic effects and nonlocality in time-dependent tunneling

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 59, Issue 3, 1999, Pages 1758-1761

  García Calderón, Gaston ^a   Rubio, Alberto ^b   Villavicencio, Jorge ^b,c  

^a UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO   (Mexico)

^b UNIVERSIDAD AUTÓNOMA DE BAJA CALIFORNIA   (Mexico)

^c Division de Fisica Aplicada   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; ELECTROMAGNETIC WAVE DIFFRACTION; LAPLACE TRANSFORMS; MATHEMATICAL MODELS; NUMERICAL ANALYSIS; PROBABILITY DENSITY FUNCTION;

GAUSSIAN WAVE PACKETS; KLEIN-GORDON EQUATION; OPTICAL DIFFRACTION; TIME-DEPENDENT TUNNELING;

PARTIAL DIFFERENTIAL EQUATIONS;

EID: 0041138771     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.59.1758     Document Type: Article

References (21)

1. E. E. Mendez, in Physics and Applications of Quantun Wells and Superlattices, edited by E. E. Mendez and K. Von Klitzing (Plenum, New York, 1987), p. 159.
2. M. F. Crommie, C. P. Lutz, and D. M. Eigler, Science 262, 218 (1993).
3. See, for example, E. H. Hauge and J. A. Stovneng, Rev. Mod. Phys. 61, 917 (1989);
4. R. Landauer and Th. Martin, ibid. 66, 217 (1994).
5. See, for example, T. E. Hartman, J. Appl. Phys. 33, 3427 (1962);
6. S. Collins, D. Löwe, and J. R. Barker, J. Phys. C 20, 6213 (1987);
7. J. G. Muga, S. Brouard, and D. Macias, Ann. Phys. (N.Y.) 240, 351 (1995).
8. K. W. H. Stevens, J. Phys. C 16, 3649 (1983).
9. P. Moretti, Phys. Rev. A 46, 1233 (1992).
10. S. Brouard and J. G. Muga, Phys. Rev. A 54, 3055 (1996).
11. G. GarcÍa-Calderón and A. Rubio, Phys. Rev. A 55, 3361 (1997).
12. M. Moshinsky, Phys. Rev. 88, 625 (1952).
13. Note that the shutter refers to the initial condition and hence it is not part of the system.
14. P. Szriftgiser, D. Guéry-Odelin, M. Arndt, and J. Dalibard, Phys. Rev. Lett. 77, 4 (1996).
15. P. R. Holland, The Quantum Theory of Motion (Cambridge University Press, New York, 1995), p. 490.
16. R. Gähler and R. Golub, Z. Phys. B 56, 5 (1984).
17. W. Elberfeld and M. Kleber, Am. J. Phys. 56, 154 (1988);
18. M. Kleber, Phys. Rep. 236, 331 (1994).
19. G. García-Calderón, J. L. Mateos, and M. Moshinsky (unpublished).
20. Moshinsky solved also the free shutter for the Dirac equation, M. Moshinsky, Rev. Mex. Fis. 1, 151 (1952). In one dimension there is no essential difference in the Klein-Gordon case.
21. G. C. Hegerfeldt, Phys. Rev. Lett. 72, 596 (1993).