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Classes of exact wave functions for general time-dependent Dirac Hamiltonians in 1+1 dimensions
(2003-05-01)
The construction of two classes of exact solutions for the most general time-dependent Dirac Hamiltonian in 1+1 dimensions was discussed. The extension of solutions by introduction of a time-dependent mass was elaborated. ...
Classes of exact wave functions for general time-dependent Dirac Hamiltonians in 1+1 dimensions
(2003-05-01)
The construction of two classes of exact solutions for the most general time-dependent Dirac Hamiltonian in 1+1 dimensions was discussed. The extension of solutions by introduction of a time-dependent mass was elaborated. ...
Dynamics of a rotating particle under a time-dependent potential: exact quantum solution from the classical action
(IOP PUBLISHING LTD, 2008-07-02)
The classical action for a three-dimensional rotating particle with time-dependent angular
velocity and that submitted to a general linear and quadratic time-dependent potential is
explicitly calculated and, via path ...
New approach for approximating the continuum wave function by Gaussian basis set
(Elsevier Science, 2012-12)
A new approach for approximating the continuum wave functions for hydrogenic atoms with Gaussians basis sets is developed and tested. In this the plane wave is left unchanged and the distorting factor, represented by the ...
Exact result in strong wave turbulence of thin elastic plates
(2018)
An exact result concerning the energy transfers between nonlinear waves of a thin elastic plate is derived. Following Kolmogorov's original ideas in hydrodynamical turbulence, but applied to the Foppl-von Karman equation ...
Classes of exact wave functions for general time-dependent Dirac Hamiltonians in [Formula Presented] dimensions
(2003-01-01)
In this work we construct two classes of exact solutions for the most general time-dependent Dirac Hamiltonian in [Formula Presented] dimensions. Some problems regarding some formal solutions in the literature are discussed. ...
Some exact solutions of the Dirac equation
(World Scientific Publ Co Pte Ltd, 2001-01-01)
Exact analytic solutions are found to the Dirac equation for a combination of Lorentz scalar and vector Coulombic potentials with additional non-Coulombic parts. An appropriate linear combination of Lorentz scalar and ...