Pseudo-Hermitian version of the charged harmonic oscillator and its “forgotten” exact solutions
نویسنده
چکیده
An unusual type of the exact solvability is reported. It is exemplified by the Coulomb plus harmonic oscillator in D dimensions after a complexification of its Hamiltonian which keeps the energies real. Infinitely many bound states are found in closed form which generalizes the popular harmonic-oscillator states at zero charge and even parity. Apparently, the model is halfway between exact and quasi-exact. PACS 03.65.Ge, 03.65.Fd
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