Tunnelling in 'massless' quantum mechanics

I. V. Krive*, B. A. Malomed, A. S. Rozhavsky

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The problem of tunnelling in 'topological' (massless) quantum mechanics with an anharmonic potential is considered. A simple method to calculate the imaginary part of action for the family of potentials, U(x,y)=(xy)n, is proposed. The tunnelling action is determined by the pole contribution only (on the complex-time plane), in a contrast to the ordinary (massive) quantum mechanics, in which the tunnelling action is always determined by the branch point contribution.

Original languageEnglish
Article number010
Pages (from-to)L439-L442
JournalJournal of Physics A: Mathematical and General
Volume25
Issue number8
DOIs
StatePublished - 1992

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