Quantum shutter transient solutions and the delay time for the δ potential

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 68, Issue 1, 2003, Pages

  Hernández, Alberto ^a   García Calderón, Gastón ^b  

^a CENTRO DE INVESTIGACIÓN CIENTÍFICA Y DE EDUCACIÓN SUPERIOR DE ENSENADA   (Mexico)

^b UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; ELECTROMAGNETIC WAVE INTERFERENCE; ELECTRON TUNNELING; LAPLACE TRANSFORMS; NONLINEAR EQUATIONS; NUMERICAL ANALYSIS; PROBABILITY DENSITY FUNCTION;

DYNAMICAL DELAY LINE; GAUSSIAN WAVE PACKET; POTETIAL BARRIER; QUANTUM SHATTER TRANSIENT SOLUTIONS; SCHRODINGER EQUATONS;

QUANTUM THEORY;

EID: 0141460731     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (17)

1. E.P. Wigner, Phys. Rev. 98, 145 (1955).
2. Eisenbud, Ph.D. thesis, Princeton University, 1948, p. 88.
3. D. Bohm, Quantum Theory (Prentice-Hall, New York, 1951), p. 291.
4. T.E. Hartman, J. Appl. Phys. 33, 3427 (1962).
5. M. Büttiker, Phys. Rev. B 27, 6178 (1983).
6. J. Weis and O. Weis, Eur. Phys. J. B 12, 135 (1999).
7. Peter R. Holland, The Quantum Theory of Motion (Cambridge University Press, Cambridge, 1993), p. 490.
8. G. García-Calderón and A. Rubio, Phys. Rev. A 55, 3361 (1997).
9. D.K. Ferry and S.M. Goodnick, Transport in Nanostructures (Cambridge University Press, Cambridge, 1997), Chap. 3.
10. M. Moshinsky, Phys. Rev. 88, 625 (1952).
11. G. García-Calderón, A. Rubio, and J. Villavicencio, Phys. Rev. A 59, 1758 (1999).
12. This solution has also been obtained using an explicit expression of the propagator for the δ potential interaction, M. Kleber, Phys. Rep. 236, 331 (1994).
13. M. Abramowitz and I.A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1965), p. 297.
14. 0 = 0.122 eV and width L = 3.5 nm.
15. θ=ℏ Im[(dk/dE) (dT/dk)/T]. Using Eq. (5) in the above equation leads to Eq. (19).
16. G. García-Calderón and J. Villavicencio, Phys. Rev. A 64, 012107 (2001).
17. G. García-Calderón and J. Villavicencio, Phys. Rev. A 66, 032104 (2002).