Exact Wavefunctions for a Delta Function Bose Gas with Higher Derivatives
arXiv:hep-th/9606064 · doi:10.1016/S0375-9601(96)00710-4
Abstract
A quantum mechanical system describing bosons in one space dimension with a kinetic energy of arbitrary order in derivatives and a delta function interaction is studied. Exact wavefunctions for an arbitrary number of particles and order of derivative are constructed. Also, equations determining the spectrum of eigenvalues are found.