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

Quantum Physics 2011-07-28 v1 High Energy Physics - Theory Mathematical Physics math.MP

Abstract

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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Cite

@article{arxiv.quant-ph/0108096,
  title  = {Generalized Continuity Equation and Modified Normalization in PT-Symmetric Quantum Mechanics},
  author = {B. Bagchi and C. Quesne and M. Znojil},
  journal= {arXiv preprint arXiv:quant-ph/0108096},
  year   = {2011}
}

Comments

16 pages, amssym