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pro vyhledávání: '"03.65.ca"'
Autor:
AbuGhanem, Muhammad
Characterizing quantum dynamics is a cornerstone pursuit across quantum physics, quantum information science, and quantum computation. The precision of quantum gates in manipulating input basis states and their intricate superpositions is paramount.
Externí odkaz:
http://arxiv.org/abs/2402.06946
This paper is devoted to study discrete and continuous bases for spaces supporting representations of SO(3) and SO(3,2) where the spherical harmonics are involved. We show how discrete and continuous bases coexist on appropriate choices of rigged Hil
Externí odkaz:
http://arxiv.org/abs/1802.08497
In this paper, we solve the D-dimensional Schr\"odinger equation with hyperbolic Poschl-Teller potential plus a generalized ring-shaped potential. After the separation of variable in the hyperspherical coordinate. We used Nikiforov-Uvarov (NU) method
Externí odkaz:
http://arxiv.org/abs/1711.05774
In this article we used supersymmetry quantum mechanics and factorization methods to study the bound and scattering state of Klein-Gordon equation with deformed Hulthen plus deformed hyperbolical potential for arbitrary state in D-dimensions. The ana
Externí odkaz:
http://arxiv.org/abs/1512.05641
Autor:
Antoine, Jean-Pierre, Trapani, Camillo
Publikováno v:
in Non-Hermitian Hamiltonians in Quantum Physics, pp. 45--65;F. Bagarello, R. Passante and C.~Trapani, (eds.), Springer Proceedings in Physics, vol. 184, Springer Int. Publ. Switzerland, 2016
Motivated by the recent developments of pseudo-Hermitian quantum mechanics, we analyze the structure generated by unbounded metric operators in a Hilbert space. To that effect, we consider the notions of similarity and quasi-similarity between operat
Externí odkaz:
http://arxiv.org/abs/1510.02723
Autor:
Yahiaoui, S. -A., Bentaiba, M.
The complementarity between the twin concepts of pseudo-Hermiticity and weak pseudo-Hermiticity, established by Bagchi and Quesne [Phys. Lett. A 301 (2002) 173-176], can be understood in terms of coordinate transformations.
Comment: 7pages
Comment: 7pages
Externí odkaz:
http://arxiv.org/abs/0902.0348
Autor:
Yahiaoui, S. -A., Bentaiba, M.
The differential realization of the potential group SO(2,2) is used. The spectrum-generating algebra for a kind of exactly solvable potentials endowed with position-dependent mass is constructed.
Comment: 22 pages
Comment: 22 pages
Externí odkaz:
http://arxiv.org/abs/0711.2265
Autor:
Yahiaoui, S. -A., Bentaiba, M.
We extend the definition of eta-weak-pseudo-Hermiticity to the class of potentials endowed with position-dependent mass. The construction of non-Hermitian Hamiltonians through some generating function are obtained. Special cases of potentials are thu
Externí odkaz:
http://arxiv.org/abs/0711.2262
Publikováno v:
J.Math.Phys.48:113503,2007
The method for the recursive calculation of the effective potential is applied successfully in case of weak coupling limit (g tend to zero) to a multidimensional complex cubic potential. In strong-coupling limit (g tend to infinity), the result is re
Externí odkaz:
http://arxiv.org/abs/0705.2571
Publikováno v:
Annals of Physics, Volume 322, Issue 11, November 2007, Pages 2733-2744
We present here a systematic and unified treatment to connect the Schrodinger equation corresponding to generalized Morse and Poschl-Teller potentials. We then show that the wave functions and generalized potentials are linked through the Fourier and
Externí odkaz:
http://arxiv.org/abs/0705.2421