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PT-Symmetric Matrix Quasi-Exactly Solvable Razhavi Potential pt对称矩阵拟精确可解Razhavi势
微观物理学期刊(英文) Pub Date : 2020-05-25 DOI: 10.4236/ojm.2020.102002
A. Nininahazwe
{"title":"PT-Symmetric Matrix Quasi-Exactly Solvable Razhavi Potential","authors":"A. Nininahazwe","doi":"10.4236/ojm.2020.102002","DOIUrl":"https://doi.org/10.4236/ojm.2020.102002","url":null,"abstract":"A PT-symmetric Hamiltonian associated with a trigonometric Razhavi potential is analyzed. Along the same lines of the general quasi-exactly solvable analytic method considered in the [1] [2] [3], three necessary and sufficient algebraic conditions for this Hamiltonian to have a finite-dimensional invariant vector space are established. This PT-symmetric 2 x 2 -matrix Hamiltonian is called quasi-exactly solvable (QES).","PeriodicalId":57566,"journal":{"name":"微观物理学期刊(英文)","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44876181","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
A Theoretical Approach to Study J/Ψ Suppression in Relativistic Heavy Ion Collisions with Ellipsoidal Evolution 椭球演化相对论重离子碰撞中J/Ψ抑制的理论研究
微观物理学期刊(英文) Pub Date : 2020-02-05 DOI: 10.4236/ojm.2020.101001
S. K. Karn
{"title":"A Theoretical Approach to Study J/Ψ Suppression in Relativistic Heavy Ion Collisions with Ellipsoidal Evolution","authors":"S. K. Karn","doi":"10.4236/ojm.2020.101001","DOIUrl":"https://doi.org/10.4236/ojm.2020.101001","url":null,"abstract":"With a view to understanding J/$Psi$ suppression in relativistic heavy ion collisions, we compute the suppression rate within the framework of hydrodynamical evolution model. For this, we consider an ellipsoidal flow and use an ansatz for temperature profile function which accounts for time and the three dimensional space evolution of the quark-gluon plasma. We have calculated the survival probability separately as the function of transverse and longitudinal momentum. We have shown that previous calculations are special cases of this model.","PeriodicalId":57566,"journal":{"name":"微观物理学期刊(英文)","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46092728","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Ionization of Hydrogenic 3d State by Electron Impact 用电子冲击电离氢的三维态
微观物理学期刊(英文) Pub Date : 2019-11-05 DOI: 10.4236/ojm.2019.94004
Sushmita Banerjee, S. Dhar
{"title":"Ionization of Hydrogenic 3d State by Electron Impact","authors":"Sushmita Banerjee, S. Dhar","doi":"10.4236/ojm.2019.94004","DOIUrl":"https://doi.org/10.4236/ojm.2019.94004","url":null,"abstract":"The triple differential cross sections estimation have been ascertained theoretically for the ionization of metastable 3d-state hydrogen atoms by electron at 150 eV, 200 eV and 250 eV for assorted kinematic conditions exerting a multiplex scattering principle. The existent new-findings are assimilated with the theoretic data of hydrogenic metastable 2S, 3S and 3P states as well as the hydrogenic ground state experiment. An analysis of the attained observations reveals qualitative fitness with those of compared results specially with hydrogenic ground state BBK model, ground state experimental data and metastable state 2S state results. This is a new theoretical work on hydrogenic metastable 3d state ionization by electron. The substantial progress of the current study offers a wide scope for empirical study in ionization process.","PeriodicalId":57566,"journal":{"name":"微观物理学期刊(英文)","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48275645","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the Preon Model 在Preon模型上
微观物理学期刊(英文) Pub Date : 2019-05-16 DOI: 10.4236/OJM.2019.92002
H. Mansour
{"title":"On the Preon Model","authors":"H. Mansour","doi":"10.4236/OJM.2019.92002","DOIUrl":"https://doi.org/10.4236/OJM.2019.92002","url":null,"abstract":"One of the fundamental questions is that “what the matter is composed of?” In 1897, atoms are known as the basic building blocks of matter. In the year 1911, Ernest Rutherford demonstrated that when alpha particles are scattered on a thin gold foil that the atom is composed of mostly empty space with a dense core at its center which is called the nucleus. Thereafter, protons and neutrons were discovered. In 1956, McAllister and Hofstadter published experimental results of elastic scattering of the electrons from a hydrogen target which revealed that the proton has an internal structure. In 1964, Gell-Mann (and independently) Zweig proposed that nucleons are composed of point-like particles which are called quarks. These quarks are postulated to have spin-1/2, fractional electric charge. Combinations of different flavors of quarks yield protons and neutrons which belong to the type of particles called baryons (built up from three quarks) and mesons as (quark and an antiquark). These two groups of particles are categorized as hadrons. The quarks showed further decay properties which suggested that they have a substructure.","PeriodicalId":57566,"journal":{"name":"微观物理学期刊(英文)","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46396271","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Continuity Equation in Presence of a Non-Local Potential in Non-Commutative Phase-Space 非交换相空间中存在非局域势的连续性方程
微观物理学期刊(英文) Pub Date : 2019-02-19 DOI: 10.4236/ojm.2019.93003
Ilyas Haouam
{"title":"Continuity Equation in Presence of a Non-Local Potential in Non-Commutative Phase-Space","authors":"Ilyas Haouam","doi":"10.4236/ojm.2019.93003","DOIUrl":"https://doi.org/10.4236/ojm.2019.93003","url":null,"abstract":"We studied the continuity equation in the presence of a local potential, and a non-local potential arising from electron-electron interaction in both commutative and non-commutative phase-space. Furthermore we examined the influence of the phase-space non-commutativity on both the locality and the non-locality, where the definition of current density cannot satisfy the condition of current conservation, but with the steady state, in order to solve this problem, we give a new definition of current density including the contribution due to the non-local potential. We show that the calculated current based on the new definition of current density maintains the current. But for the case when the non-commutativity considered, we find that the conservation of the current density completely violated. Subsequently, as an application we studied the Frahn-Lemmer non-local potential, taking into account that the employed methods concerning the phase-space non-commutativity are both of Bopp-shift linear transformation through the Heisenberg-like commutation relations, and the Moyal-Weyl product.","PeriodicalId":57566,"journal":{"name":"微观物理学期刊(英文)","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44484730","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 8
Pseudo-Hermitian Matrix Exactly Solvable Hamiltonian 伪埃尔米特矩阵精确可解哈密顿量
微观物理学期刊(英文) Pub Date : 2019-01-30 DOI: 10.4236/OJM.2019.91001
A. Nininahazwe
{"title":"Pseudo-Hermitian Matrix Exactly Solvable Hamiltonian","authors":"A. Nininahazwe","doi":"10.4236/OJM.2019.91001","DOIUrl":"https://doi.org/10.4236/OJM.2019.91001","url":null,"abstract":"The non PT-symmetric exactly solvable Hamiltonian describing a system of a fermion in the external magnetic field which couples to a harmonic oscillator through some pseudo-hermitian interaction is considered. We point out all properties of both of the original Mandal and the original Jaynes-Cummings Hamitonians. It is shown that these Hamiltonians are respectively pseudo-hermitian and hermitian REF _Ref536606452 r h * MERGEFORMAT [1] REF _Ref536606454 r h [2]. Like the direct approach to invariant vector spaces used in Refs. REF _Ref536606456 r h [3] REF _Ref536606457 r h [4], we reveal the exact solvability of both the Mandal and Jaynes-Cummings Hamiltonians after expressing them in the position operator and the impulsion operator.","PeriodicalId":57566,"journal":{"name":"微观物理学期刊(英文)","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44664853","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
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