141 citations · 693 across the 30 of their papers we have counts for
4 papers · 2 filters
Creation and annihilation operators and coherent states for the PT-symmetric oscillator
B. Bagchi, C. Quesne
We construct two commuting sets of creation and annihilation operators for the PT-symmetric oscillator. We then build coherent states of the latter as eigenstates of such annihilat…
Generalized Continuity Equation and Modified Normalization in PT-Symmetric Quantum Mechanics
B. Bagchi, C. Quesne, M. Znojil
The continuity equation relating the change in time of the position probability density to the gradient of the probability current density is generalized to PT-symmetric quantum me…
Complexified PSUSY and SSUSY interpretations of some PT-symmetric Hamiltonians possessing two series of real energy eigenvalues
B. Bagchi, S. Mallik, C. Quesne
We analyze a set of three PT-symmetric complex potentials, namely harmonic oscillator, generalized Poschl-Teller and Scarf II, all of which reveal a double series of energy levels…
Generating Complex Potentials with Real Eigenvalues in Supersymmetric Quantum Mechanics
B. Bagchi, S. Mallik, C. Quesne
In the framework of SUSYQM extended to deal with non-Hermitian Hamiltonians, we analyze three sets of complex potentials with real spectra, recently derived by a potential algebrai…