A phase-space electronic Hamiltonian with screened nuclear charges and electron translation/rotation factors conserves total pseudomomentum and angular momentum in a uniform magnetic field and exactly reproduces the hydrogen atom in a field.
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A Phase-Space Electronic Hamiltonian for Molecules in a Static Magnetic Field I: Conservation of Total Pseudomomentum and Angular Momentum
A phase-space electronic Hamiltonian with screened nuclear charges and electron translation/rotation factors conserves total pseudomomentum and angular momentum in a uniform magnetic field and exactly reproduces the hydrogen atom in a field.