The formulation of molecular quantum mechanics with the aid of particle density operators and phase operators
Abstract
It is stipulated that a field theoretical formulation of the nonrelativistic quantum mechanical multiple particle problem does not exist that is free of divergence. Molecular quantum mechanical problems for all bound conditions are discussed through numerical approximation in a Hilbert space with impulse limiting functions. It is shown that the Hamilton operator as function of particle density operator and phase operator is a quadratical form of the phase operator.
 Publication:

Ph.D. Thesis
 Pub Date:
 1974
 Bibcode:
 1974PhDT........51S
 Keywords:

 Many Body Problem;
 Molecular Energy Levels;
 Quantum Mechanics;
 Approximation;
 Hamiltonian Functions;
 Operators (Mathematics);
 Particle Density (Concentration);
 Atomic and Molecular Physics