Classical aspects of quantum walls in one dimension

Journal Article · Fri Nov 01 00:00:00 EST 2002 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.66.052102· OSTI ID:20632243

Fueloep, Tamas; Cheon, Taksu; Tsutsui, Izumi ^[1]

---

1. Institute of Particle and Nuclear Studies, High Energy Accelerator Research Organization (KEK), Tsukuba 305-0801 (Japan)

We investigate the system of a particle moving on a half line x{>=}0 under the general walls at x=0 that are permitted quantum mechanically. These quantum walls, characterized by a parameter L, are shown to be realized as a limit of regularized potentials. We then study the classical aspects of the quantum walls by seeking a classical counterpart that admits the same time delay in scattering with the quantum wall, and also by examining the WKB exactness of the transition kernel based on the regularized potentials. It is shown that no classical counterpart exists for walls with L<0, and that the WKB exactness can hold only for L=0 and L={infinity}.

• OSTI ID: 20632243
• Journal Information: Physical Review. A, Vol. 66, Issue 5; Other Information: DOI: 10.1103/PhysRevA.66.052102; (c) 2002 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
KERNELS
POTENTIALS
QUANTUM FIELD THEORY
SCATTERING
TIME DELAY
WKB APPROXIMATION