Generalized Continuity Equation and Modified Normalization in PT-Symmetric Quantum Mechanics

Details Generalized Continuity Equation and Modified Normalization in PT-Symmetric Quantum Mechanics Generalized Continuity Equation and Modified Normalization in PT-Symmetric Quantum Mechanics

2001-08-22

arxiv.org/abs/quant-ph/0108096v1

Mod.Phys.Lett.A16:2047-2057,2001

Physics

Quantum Physics

16 pages, amssym

Scientific paper

10.1142/S0217732301005333

The continuity equation relating the change in time of the position
probability density to the gradient of the probability current density is
generalized to PT-symmetric quantum mechanics. The normalization condition of
eigenfunctions is modified in accordance with this new conservation law and
illustrated with some detailed examples.

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