Abstract
The matrix elements of a general Hamiltonian are calculated with respect to states of two, three and four particles derived previously using techniques of group theory applied to harmonic oscillator states. Explicit tables are given for the four-particle system up to two quanta, including the kinetic energy, central interactions with all types of exchange, two-particle spin-orbit, tensor and Coulomb interactions. The generalizations to an arbitrary number of particles and quanta are also discussed.
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