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RESEARCH PRODUCT
A consistent microscopic theory of collective motion in the framework of an ATDHF approach
Paul-gerhard ReinhardK. Goekesubject
Hamiltonian mechanicsPhysicsGeneral Physics and AstronomyEigenfunctionAdiabatic theoremsymbols.namesakeClassical mechanicsQuantum mechanicssymbolsSlater determinantMicroscopic theoryAdiabatic processWave functionHamiltonian (quantum mechanics)description
Based on merely two assumptions, namely the existence of a collective Hamiltonian and that the collective motion evolves along Slater determinants, we first derive a set of adiabatic time-dependent Hartree-Fock equations (ATDHF) which determine the collective path, the mass and the potential, second give a unique procedure for quantizing the resulting classical collective Hamiltonian, and third explain how to use the collective wavefunctions, which are eigenstates of the quantized Hamiltonian.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1978-06-01 | Annals of Physics |