259 citations · 3.2k across the 85 of their papers we have counts for
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Fractional supersymmetric quantum mechanics, topological invariants and generalized deformed oscillator algebras
C. Quesne
Fractional supersymmetric quantum mechanics of order is realized in terms of the generators of a generalized deformed oscillator algebra and a Z-grading structure is impose…
Non-Hermitian Hamiltonians with real and complex eigenvalues: An sl(2,C) approach
B. Bagchi, C. Quesne
Potential algebras are extended from Hermitian to non-Hermitian Hamiltonians and shown to provide an elegant method for studying the transition from real to complex eigenvalues for…
Infinite square well and periodic trajectories in classical mechanics
B. Bagchi, S. Mallik, C. Quesne
We examine the classical problem of an infinite square well by considering Hamilton's equations in one dimension and Hamilton-Jacobi equation for motion in two dimensions. We illus…
New q-deformed coherent states with an explicitly known resolution of unity
C. Quesne
We construct a new family of q-deformed coherent states , where . These states are normalizable on the whole complex plane and continuous in their label . They…
Non-Hermitian Hamiltonians with real and complex eigenvalues in a Lie-algebraic framework
B. Bagchi, C. Quesne
We show that complex Lie algebras (in particular sl(2,C)) provide us with an elegant method for studying the transition from real to complex eigenvalues of a class of non-Hermitian…
Pseudosupersymmetric quantum mechanics: General case, orthosupersymmetries, reducibility, and bosonization
C. Quesne, N. Vansteenkiste
Pseudosupersymmetric quantum mechanics (PsSSQM), based upon the use of pseudofermions, was introduced in the context of a new Kemmer equation describing charged vector mesons inter…