3 problems

For the quartic oscillator, let the algebraic spectrum be determined by a finite-dimensional matrix depending on a parameter, and let its discriminant be the resulting polynomial i…

The quartic oscillator Hamiltonian is the operator governing the eigenvalue problem for the quartic oscillator discussed in the paper. A simple and explicit kernel function is a ke…

Let $\lambda_n$ be the real-analytic eigenvalue functions of the quartic oscillator, initially defined for $\alpha>0$, and let their power series at $\alpha=0$ be considered. Loeff…