Solution of the Two-Dimensional Time-Dependent Schrodinger Equation Applied to Nuclear Proton Decay
Idioma
en
Communication dans un congrès
Este ítem está publicado en
AIP Conference Proceedings, AIP Conference Proceedings, 2009-09-18, Rethymno. 2009-09-09, vol. 1168, p. 1582-1585
American Institute of Physics
Resumen en inglés
A rigorous approach to study the temporal evolution of physical processes is to follow the development in time of a given initial state, by numerically solving the time-dependent Schrodinger equation. This represents a ...Leer más >
A rigorous approach to study the temporal evolution of physical processes is to follow the development in time of a given initial state, by numerically solving the time-dependent Schrodinger equation. This represents a natural modeling of the dynamical behaviour. We considered the equation in two spatial coordinates, to describe deformed nuclear shapes. The Hamiltonian is discretized by special, functionally fitted difference formulae of the derivatives and then a Crank-Nicolson scheme is applied. The resulting linear system with large sparse matrix is solved by a variant of Conjugate Gradient Method. The numerical solution has been used to the description of the proton decay. We also discuss the treatment of numerical boundary conditions, the preparation of the initial wavefunction and the calculation of the decay rate through the flux.< Leer menos
Palabras clave en italiano
proton emission
deformed nuclei
bi-dimensional Schrodinger equation
time-dependent
non-standard finite differences
Orígen
Importado de HalCentros de investigación