skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Initial wave packets and the various power-law decreases of scattered wave packets at long times

Journal Article · · Physical Review. A
 [1]
  1. Department of Physics, Waseda University, 3-4-1 Okubo, Shinjuku-ku, Tokyo 169-8555 (Japan)

The long-time behavior of scattered wave packets {psi}(x,t) from a finite-range potential is investigated, by assuming {psi}(x,t) to be initially located outside the potential. It is then shown that {psi}(x,t) can asymptotically decrease in the various power laws at long time, according to its initial characteristics at small momentum. As an application, we consider the square-barrier potential system and demonstrate that {psi}(x,t) exhibits the asymptotic behavior t{sup -3/2}, while another behavior like t{sup -5/2} can also appear for another {psi}(x,t)

OSTI ID:
20640989
Journal Information:
Physical Review. A, Vol. 69, Issue 4; Other Information: DOI: 10.1103/PhysRevA.69.042704; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
Country of Publication:
United States
Language:
English

Similar Records

Free initial wave packets and the long-time behavior of the survival and nonescape probabilities
Journal Article · Fri Aug 01 00:00:00 EDT 2003 · Physical Review. A · OSTI ID:20640989

Further analysis of solutions to the time-independent wave packet equations for quantum dynamics: General initial wave packets
Journal Article · Fri Jul 15 00:00:00 EDT 1994 · Journal of Chemical Physics; (United States) · OSTI ID:20640989

What Determines the Spreading of a Wave Packet?
Journal Article · Mon Sep 01 00:00:00 EDT 1997 · Physical Review Letters · OSTI ID:20640989