6533b820fe1ef96bd127a564

RESEARCH PRODUCT

đť’ź $\mathcal {D}$ -Deformed Harmonic Oscillators

Fabio BagarelloFrancesco GarganoD. Volpe

subject

PhysicsPhysics and Astronomy (miscellaneous)General MathematicsScheme (mathematics)pseudo-bosonsSettore MAT/07 - Fisica MatematicaEigenvalues and eigenvectorsHarmonic oscillatorBosonMathematical physics

description

We analyze systematically several deformations arising from two-dimensional harmonic oscillators which can be described in terms of $\cal{D}$-pseudo bosons. They all give rise to exactly solvable models, described by non self-adjoint hamiltonians whose eigenvalues and eigenvectors can be found adopting the quite general framework of the so-called $\cal{D}$-pseudo bosons. In particular, we show that several models previously introduced in the literature perfectly fit into this scheme.

https://doi.org/10.1007/s10773-014-2487-9