Quantum and Classical Fidelity for Singular Perturbations of the Inverted and Harmonic Oscillator

M. Combescure, A. Combescure

Let us consider the quantum/versus classical dynamics for Hamiltonians of the form \beq \label{0.1} H\_{g}^ε := \frac{P^2}{2}+ ε\frac{Q^2}{2}+ \frac{g^2}{Q^2} \edq where $\epsilon =\pm 1$…