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Frustating use of the Laplace transform for the quantum states of a particle in a box
(Sociedade Brasileira de Física, 2020-05-29)
In a recent paper diffused in the literature, the quantum problem of a particle in a infinite square well potential was claimed to be solved via Laplace transform. Surprisingly, the correct solutions were found for an ...
Quantum states of a particle in a box via unilateral Fourier transform
(Sociedade Brasileira de Física, 2020-06-22)
The quantum problem of stationary states of a particle in a box is revisited by means of the unilateral Fourier transform. Homogeneous Dirichlet boundary conditions demand a finite Fourier sine transform which is actually ...
Controlling the Quantum State with a time varying potential
(2017)
The problem of controlling the quantum state of a system is investigated using a time varying potential. As a concrete example we study the problem of a particle in a box with a periodically oscillating infinite square-well ...
Controlling the quantum state with a time varying potential
(Nature Publishing Group, 2017)
The problem of controlling the quantum state of a system is investigated using a time varying potential. As a concrete example we study the problem of a particle in a box with a periodically oscillating infinite square-well ...
Quantum hypercomputation based on the dynamical algebra su(1, 1)
(IOP PUBLISHING LTD, 2006-10-06)
An adaptation of Kieu's hypercomputational quantum algorithm (KHQA) is presented. The method that was used was to replace the Weyl-Heisenberg algebra by other dynamical algebra of low dimension that admits infinite-dimensional ...
Finite-well potential in the 3D nonlinear Schrodinger equation: application to Bose-Einstein condensation
(Springer, 2007-05-01)
Using variational and numerical solutions we show that stationary negative-energy localized (normalizable) bound states can appear in the three-dimensional nonlinear Schrodinger equation with a finite square-well potential ...
Scaling dynamics for a particle in a time-dependent potential well
(Elsevier B.V., 2012-07-01)
Some dynamical properties for a classical particle confined in an infinitely deep box of potential containing a periodically oscillating square well are studied. The dynamics of the system is described by using a two-dimensional ...
Finite-well potential in the 3D nonlinear Schrodinger equation: application to Bose-Einstein condensation
(Springer, 2007-05-01)
Using variational and numerical solutions we show that stationary negative-energy localized (normalizable) bound states can appear in the three-dimensional nonlinear Schrodinger equation with a finite square-well potential ...