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Lie-algebraic structure of 2D harmonic oscillator with non-separable complex coupling
Lie-algebra Non-Hermitian quantum mechanics PT-symmetry Multidimensional models Harmonic oscillator Exactly solvable
2011/10/8
Abstract: Using SU(2)X SU(2) Lie-group structure we obtain the algebraization of 2D harmonic oscillator model with complex quadratic coupling. It is shown that the original time-independent Schr\"odin...
A semiclassical heat trace expansion for the perturbed harmonic oscillator
semiclassical heat trace expansion the perturbed harmonic oscillator Spectral Theory
2011/9/9
Abstract: In this paper we study a semiclassical heat trace expansion for perturbations of the harmonic oscillator, by adapting to the semiclassical setting techniques developed by Hitrik and Polterov...
Dissipation evidence for the quantum damped harmonic oscillator via pseudo-bosons
the quantum damped harmonic oscillator pseudo-bosons
2011/7/26
Abstract: It is known that a self-adjoint, time-independent hamiltonian can be defined for the quantum damped harmonic oscillator. We show here that the two vacua naturally associated to this operator...