Zobrazeno 1 - 10
of 10 138
pro vyhledávání: '"Particle in a box"'
Autor:
Kim, Seyong, Rothkopf, Alexander
We construct a discrete non-hermitean momentum operator, which implements faithfully the non self-adjoint nature of momentum for a particle in a box. Its eigenfunctions are strictly limited to the interior of the box in the continuum limit, with the
Externí odkaz:
http://arxiv.org/abs/2403.13558
We study the effect of a $\delta$ distribution potential placed at $x_0\geq 0$ and multiplied by a parameter $\alpha$ on a quantum mechanical particle in an infinite square well over the segment $\left[-\,\frac{L}{2},\frac{L}{2}\right]$. We obtain th
Externí odkaz:
http://arxiv.org/abs/2311.02611
Autor:
Gautam, Kumar
A quantum unitary gate is realized in this paper by perturbing a free charged particle in a one-dimensional box with a time- and position-varying electric field. The perturbed Hamiltonian is composed of a free particle Hamiltonian plus a perturbing e
Externí odkaz:
http://arxiv.org/abs/2304.03967
Autor:
De Vincenzo, Salvatore
Publikováno v:
Physics Open 15 100151 (2023)
We consider a 1D Klein-Fock-Gordon particle in a finite interval, or box. We construct for the first time the most general set of pseudo self-adjoint boundary conditions for the Hamiltonian operator that is present in the first order in time 1D Klein
Externí odkaz:
http://arxiv.org/abs/2301.01565
Autor:
Klauder, John R.
The usual particle in a box is turned into a field theory, and its behavior is examined using canonical and affine quantizations. The resulting leads to a valid affine quantization of the particle in a box field theory, which points toward further va
Externí odkaz:
http://arxiv.org/abs/2209.06137
Akademický článek
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Akademický článek
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Publikováno v:
SIAM J. Control Optim. 62 (2024), 826-852
We study a system composed of a free quantum particle trapped in a box whose walls can change their position. We prove the global approximate controllability of the system. That is, any initial state can be driven arbitrarily close to any target stat
Externí odkaz:
http://arxiv.org/abs/2208.13475
For a particle in a box, the operator $-i\partial_x$ is not self-adjoint and thus does not qualify as the physical momentum. As a result, in general the Ehrenfest theorem is violated. Based upon a recently developed new concept for a self-adjoint mom
Externí odkaz:
http://arxiv.org/abs/2206.07531
Autor:
Klauder, John R.
The particle in a box is a simple model that has a classical Hamiltonian $H=p^2$ (using $2m=1$), with a limited coordinate space, $-b
Externí odkaz:
http://arxiv.org/abs/2204.07577