0000000000602963

AUTHOR

P.c. Lichtner

showing 3 related works from this author

Evolution of a Quantum System: Lifetime of a Determinant

1976

A measure of the ''dependency'' of a many-particle system is defined and its time dependence is evaluated for systems initially described by a single Slater determinant. An uncertainty product between the energy spread of the initial determinant and the lifetime of a system's independence is established. Numerical estimates of some lifetimes are given. They are not so long as to be reassuring for nuclear time-dependent Hartree--Fock calculations. Each separate case ought to be checked. 1 table.

Many-body problemPhysicsUncertainty principleQuantum mechanicsProduct (mathematics)Quantum systemHartree–Fock methodGeneral Physics and AstronomySlater determinantStatistical physicsWave functionMeasure (mathematics)Physical Review Letters
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Quadrupole variation of projected spectra of even Ti isotopes

1975

In the present work we study the dependence of projected good $J$ states on the quadrupole moment. In order to achieve this, the quadrupole-moment-depenent generalized deformed BCS (DBCS) wave functions have been computed after minimizing the constrained Hamiltonian ${H}_{q}=H\ensuremath{-}\ensuremath{\lambda}N\ensuremath{-}\ensuremath{\mu}Q$. The calculation assumes the existence of a $^{40}\mathrm{Ca}$ spherical core. The two body residual interaction between the valence nucleons is determined by using the $^{42}\mathrm{Sc}$ spectrum for the $T=0$ force and the $^{49}\mathrm{Ca}$ spectrum for the $T=1$ force. The result of the calculation shows that the projected spectra in general cannot…

PhysicsNuclear and High Energy Physicssymbols.namesakeQuadrupolesymbolsHartree–Fock methodMoment of inertiaBCS theoryAtomic physicsWave functionHamiltonian (quantum mechanics)NucleonSpectral linePhysical Review C
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Variable masses in fission and heavy-ion collisions

1972

With the use of the cranking formula, the coordinate-dependent mass parameters of the kinetic-energy operator in fission processes and heavy-ion collisions are calculated in the two-center oscillator model. It is shown that the reduced mass and also the classical moment of inertia are obtained for large separations of the fragments. For small separations, however, the mass parameter for the motion of the centers of mass of the fragments is larger than the reduced mass by an order of magnitude.

Nuclear reactionPhysicsMass excessFissionOperator (physics)General Physics and AstronomyReduced massMoment of inertiaKinetic energyUranium-236Nuclear physicsddc:530Atomic physicsNuclear Experiment
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