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quant-ph2011★ 13 cited
PT Symmetric, Hermitian and P-Self-Adjoint Operators Related to Potentials in PT Quantum Mechanics
Tomas Azizov, Carsten Trunk
In the recent years a generalization of the harmonic oscillator using a complex deformation was investigated, where ε is a real parameter. Here, we will consider…
quant-ph2009★ 12 cited
On Domains of PT Symmetric Operators Related to -y''(x) + (-1)^n x^{2n}y(x)
Tomas Ya. Azizov, Carsten Trunk
In the recent years a generalization of Hermiticity was investigated using a complex deformation H=p^2 +x^2(ix)^εof the harmonic oscillator Hamiltonian, where εis a real parameter.…