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

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.

preprint2001arXivOpen access

B. Bagchi C. Quesne M. Znojil

math-ph math.MP hep-th quant-ph

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B. Bagchi C. Quesne M. Znojil

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

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