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Observations of the Ramsauer–Townsend effect in quaternionic quantum mechanics
Sobhani, Hadi,Hassanabadi, Hassan,Chung, Won Sang Springer 2017 European Physical Journal C Vol.77 No.6
<P>In this article, one of the well-known effects in quantum mechanics is addressed and also the extended form of quantum mechanics which is based on quaternions is presented. In the presence of this version of quantum mechanics the Ramsauer-Townsend effect has been investigated and the existence of this phenomenon is studied according to quaternionic calculations; results are presented by graphs.</P>
A survey on the Klein-Gordon equation in the Gödel-type space-times
Sobhani, Hadi,Hassanabadi, Hassan,Chung, Won Sang World Scientific 2018 INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODE Vol.15 No.3
<P>In this paper, the Gödel-type space-times have been considered. We are interested in the investigation of relativistic free bosons in the Gödel-type space-times. Therefore, the Klein-Gordon equation considering the Gödel-type space-times has been constructed in a general manner. Then to accomplish our goal, two well-known special cases have been considered for the unknown function in the tensor metric of the Gödel-type space-times. The explicit forms of the wave functions for each case as well as the energy eigenvalue equations have been derived in detail.</P>
Quantum Many-Body System in Presence of Time-Dependent Potential and Electric Field
Hadi Sobhani,Hassan Hassanabadi 한국물리학회 2017 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.71 No.1
In this article, a quantum many-body system is considered. Then two time-dependent interactions have been added to the system. Changing of them is assumed in general form. After that, by using algebraic method, time evolution of this many-body system has been investigated. In order to study the time evolution, Lewis-Riesenfeld dynamical invariant and time evolution operator method have been used. Appropriate dynamical invariants are constructed and their Eigenvalues are derived as well as appropriate time evolution operators are constructed. These calculations have been done in general form so there are no limiting assumptions on changing of time-dependent functions.
Hadi Sobhani,Hassan Hassanabadi 한국물리학회 2016 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.69 No.10
In this paper, we study a system with a time-dependent essence and a relative pseudo-harmonic interaction. In order to investigate the time evolution of such a system, we employed the Lewis- Riesenfeld dynamical invariant method. We constructed the dynamical invariant and derived its explicit form.Then, we derived the Eigen function of this invariant. Finally, we used this Eigen to obtain the wave function. We also discussed the physical meaning of the results.