Generalized Continuity Equation and Modified Normalization in PT-Symmetric Quantum Mechanics
classification
🪐 quant-ph
hep-thmath-phmath.MP
keywords
continuitydensityequationgeneralizedmechanicsmodifiednormalizationprobability
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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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