Shifted Riccati procedure: application to conformal barotropic FRW cosmologies.
Sigma models with non-commuting complex structures and extended supersymmetry
We discuss additional supersymmetries for supersymmetric non-linear sigma models described by left and right semichiral superfields.
Solvable rational potentials and exceptional orthogonal polynomials in supersymmetric quantum mechanics.
Super-geometric quantization.
Supersymmetric extension of non-Hermitian Hamiltonian and supercoherent states.
Supersymmetric quantum mechanics and Painlevé IV equation.
Supersymmetrical separation of variables in two-dimensional quantum mechanics.
Supersymmetry and Ghosts in Quantum Mechanics
2000 Mathematics Subject Classification: 81Q60, 35Q40.A standard supersymmetric quantum system is defined by a Hamiltonian [^H] = ½([^Q]*[^Q] +[^Q][^Q]*), where the super-charge [^Q] satisfies [^Q]2 = 0, [^Q] commutes with [^H]. So we have [^H] ≥ 0 and the quantum spectrum of [^H] is non negative. On the other hand Pais-Ulhenbeck proposed in 1950 a model in quantum-field theory where the d'Alembert operator [¯] = [(∂2)/( ∂t2)] − Δx is replaced by fourth order operator [¯]([¯] + m2), in order to...
Supersymmetry transformations for delta potentials.