Journal of Physics A Mathematical and Theoretical · 2010 · 38 citations · 37 references
Natural SciencesPhysicsDifferential EquationsDynamical SystemsQuantum MechanicsGreen's FunctionsHamiltonian MechanicsHamiltonian SystemsOscillatorsQuantum DynamicsWave FunctionsCanonical CoordinatesGreen's Function FormulationParametric OscillatorsQuantum HamiltonianTime-dependent Green's FunctionsTime-dependent Quantum MechanicsWavefunction Solutions
We construct Green's function for the quantum degenerate parametric oscillator in terms of standard solutions of Ince's equation in a framework of a general approach to harmonic oscillators. Exact time-dependent wave functions and their connections with dynamical invariants and SU(1,1) group are also discussed.
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Quantum Mechanics and Path Integrals
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