Decay Rate of Energy Eigenfunctions in Classically Energetically Inaccessible Regions

Chin. Phys. Lett.

2004, Vol. 21

Issue (10): 1869-1872 DOI:

Original Articles

Decay Rate of Energy Eigenfunctions in Classically Energetically Inaccessible Regions

WANG Wen-Ge

Department of Physics, Southeast University, Nanjing 210096 Department of Physics, National University of Singapore, 117542 Singapore

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WANG Wen-Ge 2004 Chin. Phys. Lett. 21 1869-1872

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Abstract Classically energetically inaccessible parts of energy eigenfunctions in configuration space are studied by making use of a generalization of Brillouin--Wigner perturbation theory. Approximate formulas are proposed for describing local decaying rate of this part of energy eigenfunctions, which are useful in the study of quantum phenomena,such as tunnelling effect, and are tested in an anharmonic oscillator.

Keywords: 03.65.-w

Published: 01 October 2004

PACS:

03.65.-w

(Quantum mechanics)

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2004/V21/I10/01869

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