Trapped Particles in PT Symmetric Theories
classification
🪐 quant-ph
keywords
trappedparticlesymmetricboundaryconditionsdiscussedenergyexpectation
read the original abstract
$PT$ symmetric quantum mechanics for a particle trapped by the generalized non-Hermitian harmonic oscillator potential is studied. It is shown that energy and the expectation value of the position operator $x$ can not be real simultaneously, if the particle is trapped. Non-vanishing boundary conditions for the trapped particle in $PT$ symmetric theory are also discussed.
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