Wave functions for a Dirac particle in a time-dependent potential

2000 ◽  
Vol 61 (5) ◽  
Author(s):  
R. R. Landim ◽  
I. Guedes
Keyword(s):  
Dirac Particle ◽  
Wave Functions ◽  
Time Dependent ◽  
Dependent Potential

Bohr Hamiltonian with time-dependent potential

2016 ◽  
Vol 25 (04) ◽  
pp. 1650029 ◽  
Author(s):  
L. Naderi ◽  
H. Hassanabadi ◽  
H. Sobhani
Keyword(s):  
Wave Functions ◽  
Time Dependent ◽  
Invariant Method ◽  
Exact Time ◽  
Dependent Potential

In this paper, Bohr Hamiltonian has been studied with the time-dependent potential. Using the Lewis–Riesenfeld dynamical invariant method appropriate dynamical invariant for this Hamiltonian has been constructed and the exact time-dependent wave functions of such a system have been derived due to this dynamical invariant.

scholarly journals Fourier transform of single particle wave functions in extremely deformed nuclei: Towards the momentum distribution of scission neutrons

2018 ◽  
Vol 169 ◽  
pp. 00020 ◽  
Author(s):  
M. Rizea ◽  
N. Carjan
Keyword(s):  
Fourier Transform ◽  
Single Particle ◽  
Fourier Transforms ◽  
Wave Packets ◽  
Wave Functions ◽  
Time Dependent ◽  
Dependent Potential ◽  
The Fourier Transform ◽  
Several Intervals ◽  
Insight Into

The Fourier transform of single particle wave functions in cylindrical coordinates is applied to the study of neutrons released during scission. We propagate the neutron wave packets in time through the bi-dimensional time dependent Schrödinger equation with time dependent potential. We separate the parts of these wave packets that are in the continuum and calculate their Fourier transforms at different times: immediately after scission (T = 1×10-22 s) and at several intervals afterwards (until T = 50×10-22 s). The momentum distributions corresponding to these Fourier transforms are then estimated. The evolution of these distributions in time provides an insight into the separation of the neutron from the fissioning system and asymptotically gives the kinetic energy spectrum of that particular neutron.

scholarly journals Reciprocity between moduli and phases in time-dependent wave functions

1999 ◽  
Vol 60 (3) ◽  
pp. 1802-1810 ◽  
Author(s):  
R. Englman ◽  
A. Yahalom
Keyword(s):  
Wave Functions ◽  
Time Dependent
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