The linear potential propagator

American Journal of Physics

Volumn 65, Issue 5, 1997, Pages 414-418

  Holstein, Barry R ^a  

^a UNIVERSITY OF MASSACHUSETTS   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031484563     PISSN: 00029505     EISSN: None     Source Type: Journal    
DOI: 10.1119/1.18550     Document Type: Article

References (8)

1. A recent discussion of such motion is given by R. W. Robinett, "Quantum mechanical time-development operator for the uniformly accelerated particle," Am. J. Phys. 64, 803-808 (1996).
2. R. P. Feynman and A. R. Hibbs, Quantum Mechanics and Path Integrals (McGraw-Hill, New York, 1965).
3. L. S. Brown and Y. Zhang, "Path integral for the motion of a particle in a linear potential," Am. J. Phys. 62, 806-808 (1994).
4. G. P. Arrighini, N. L. Durante, and C. Guidotti, "More on the quantum propagator of a particle in a linear potential," Am. J. Phys. 64, 1036-1041 (1996).
5. i), which goes along with this definition.
6. J. L. Friar, "Relativistic effects on the wavefunction of a moving system," Phys. Rev. C 12, 695-698 (1975). Note that this procedure is similar to that given in Ref. 4.
7. S. Fallieros and J. L. Friar, "Motion in a time-dependent, uniform electric field," Am. J. Phys. 50, 1001-1005 (1982).
8. This list of techniques is hardly exhaustive. Indeed a derivation based on summation over a complete set of fixed energy states can be found in Ref. I.