Coherent states for the supersymmetric partners of the truncated oscillator
Departamento de Física, Cinvestav, A.P. 14-740, 07000, Mexico City, Mexico
2 Département de Mathématiques et de Statistique, Université de Montréal, Montréal, QC, Canada
* e-mail: firstname.lastname@example.org
Accepted: 9 November 2018
Published online: 11 January 2019
We build the coherent states for a family of solvable singular Schrödinger Hamiltonians obtained through supersymmetric quantum mechanics from the truncated oscillator. The main feature of such systems is the fact that their eigenfunctions are not completely connected by their natural ladder operators. We find a definition that behaves appropriately in the complete Hilbert space of the system, through linearised ladder operators. In doing so, we study basic properties of such states like continuity in the complex parameter, resolution of the identity, probability density, time evolution and possibility of entanglement.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2019