Transformation coefficients between oscillator harmonics and hyperspherical harmonics in two space dimensions

摘要

The transformation coefficients between oscillator harmonics and hyperspherical harmonics are derived analytically for an arbitrary number of particles with arbitrary masses, which allows us to express the transformation coefficients among the hyperspherical harmonics with different sets of variables in terms of those for oscillator harmonics and facilitates the variational calculations with hyperspherical harmonics. The diagonalization of the Hamiltonian for D~- system in a quantum well is given as an example to demonstrate the applications.