Trapped Particles in $PT$ Symmetric Theories

Details Trapped Particles in $PT$ Symmetric Theories Trapped Particles in $PT$ Symmetric Theories

2006-02-13

arxiv.org/abs/quant-ph/0602103v1

Physics

Quantum Physics

10 pages

Scientific paper

$PT$ 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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