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Thermal properties of a two-dimensional Duffin–Kemmer–Petiau oscillator under an external magnetic field in the presence of a minimal length 最小长度外磁场作用下二维Duffin-Kemmer-Petiau振子的热性质
arXiv: General Physics Pub Date : 2019-09-09 DOI: 10.1142/S0217732320502788
H. Aounallah, J. Kvr'ivz, B. C. Lutfuouglu
{"title":"Thermal properties of a two-dimensional Duffin–Kemmer–Petiau oscillator under an external magnetic field in the presence of a minimal length","authors":"H. Aounallah, J. Kvr'ivz, B. C. Lutfuouglu","doi":"10.1142/S0217732320502788","DOIUrl":"https://doi.org/10.1142/S0217732320502788","url":null,"abstract":"Generalized uncertainty principle puts forward the existence of the shortest distances and/or maximum momentum at the Planck scale for consideration. In this article, we investigate the solutions of a two-dimensional Duffin-Kemmer-Petiau (DKP) oscillator within an external magnetic field in a minimal length (ML) scale. First, we obtain the eigensolutions in ordinary quantum mechanics. Then, we examine the DKP oscillator in the presence of an ML for the spin-zero and spin-one sectors. We determine an energy eigenvalue equation in both cases with the corresponding eigenfunctions in the non-relativistic limit. We show that in the ordinary quantum mechanic limit, where the ML correction vanishes, the energy eigenvalue equations become identical with the habitual quantum mechanical ones. Finally, we employ the Euler-Mclaurin summation formula and obtain the thermodynamic functions of the DKP oscillator in the high-temperature scale.","PeriodicalId":369778,"journal":{"name":"arXiv: General Physics","volume":"89 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133185271","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: 2
Discrete phase space, relativistic quantum electrodynamics, and a non-singular Coulomb potential 离散相空间，相对论量子电动力学，非奇异库仑势
arXiv: General Physics Pub Date : 2019-04-30 DOI: 10.1142/S0217732320501990
A. Das, R. Chatterjee, Ting Yu
{"title":"Discrete phase space, relativistic quantum electrodynamics, and a non-singular Coulomb potential","authors":"A. Das, R. Chatterjee, Ting Yu","doi":"10.1142/S0217732320501990","DOIUrl":"https://doi.org/10.1142/S0217732320501990","url":null,"abstract":"This paper deals with the relativistic, quantized electromagnetic and Dirac field equations in the arena of discrete phase space and continuous time. The mathematical formulation involves partial difference equations. In the consequent relativistic quantum electrodynamics, the corresponding Feynman diagrams and S#-matrix elements are derived. In the special case of electron-electron scattering (Moller scattering), the explicit second order element is deduced. Moreover, assuming the slow motions for two external electrons, the approximation of yields a divergence-free Coulomb potential.","PeriodicalId":369778,"journal":{"name":"arXiv: General Physics","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121379369","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
Entropy functionals and thermodynamics of relativistic geometric flows, stationary quasi-periodic Ricci solitons, and gravity 熵函数和相对论几何流的热力学，静止的拟周期里奇孤子，和重力
arXiv: General Physics Pub Date : 2019-03-10 DOI: 10.1016/j.aop.2020.168333
Iuliana Bubuianu, S. Vacaru, E. V. Veliev
{"title":"Entropy functionals and thermodynamics of relativistic geometric flows, stationary quasi-periodic Ricci solitons, and gravity","authors":"Iuliana Bubuianu, S. Vacaru, E. V. Veliev","doi":"10.1016/j.aop.2020.168333","DOIUrl":"https://doi.org/10.1016/j.aop.2020.168333","url":null,"abstract":"","PeriodicalId":369778,"journal":{"name":"arXiv: General Physics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-03-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120668256","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: 7
Lorentz-Invariant Second-Order Tensors and an Irreducible Set of Matrices 洛伦兹不变二阶张量与不可约矩阵集
arXiv: General Physics Pub Date : 2019-02-12 DOI: 10.7546/jgsp-50-2018-1-10
M. Arminjon
{"title":"Lorentz-Invariant Second-Order Tensors and an Irreducible Set of Matrices","authors":"M. Arminjon","doi":"10.7546/jgsp-50-2018-1-10","DOIUrl":"https://doi.org/10.7546/jgsp-50-2018-1-10","url":null,"abstract":"We prove that, up to multiplication by a scalar, the Minkowski metric tensor is the only second-order tensor that is Lorentz-invariant. To prove this, we show that a specific set of three $4times 4$ matrices, made of two rotation matrices plus a Lorentz boost, is irreducible.","PeriodicalId":369778,"journal":{"name":"arXiv: General Physics","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121311640","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: 4
Generalized Misner–Sharp energy in generalized Rastall theory 广义拉斯托理论中的广义Misner-Sharp能量
arXiv: General Physics Pub Date : 2019-01-10 DOI: 10.1139/cjp-2019-0492
H. Moradpour, M. Valipour
{"title":"Generalized Misner–Sharp energy in generalized Rastall theory","authors":"H. Moradpour, M. Valipour","doi":"10.1139/cjp-2019-0492","DOIUrl":"https://doi.org/10.1139/cjp-2019-0492","url":null,"abstract":"Employing the unified first law of thermodynamics and the field equations of the generalized Rastall theory, we get the generalized Misner-Sharp mass of spacetimes for which $g_{tt}=-g^{rr}=-f(r)$. The obtained result differs from those of the Einstein and Rastall theories. Moreover, using the first law of thermodynamics, the obtained generalized Misner-Sharp mass and the field equations, the entropy of the static spherically symmetric horizons is also addressed in the framework of the generalized Rastall theory. In addition, by generalizing the study to the flat FRW universe, the apparent horizon entropy is also calculated. Considering the effects of applying the Newtonian limit to the field equations on the coupling coefficients of the generalized Rastall theory, our study indicates $i$) the obtained entropy-area relation is the same as that of the Rastall theory, and $ii$) the Bekenstein entropy is recovered when the generalized Rastall theory reduces to the Einstein theory. The validity of the second law of thermodynamics is also investigated in the flat FRW universe.","PeriodicalId":369778,"journal":{"name":"arXiv: General Physics","volume":"101 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132838675","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: 3
Extra equation of gravity induced by spontaneous local Lorentz symmetry breakdown 自发局部洛伦兹对称性崩溃诱发的额外引力方程
arXiv: General Physics Pub Date : 2018-12-03 DOI: 10.1103/PHYSREVD.103.064056
Kimihide Nishimura
{"title":"Extra equation of gravity induced by spontaneous local Lorentz symmetry breakdown","authors":"Kimihide Nishimura","doi":"10.1103/PHYSREVD.103.064056","DOIUrl":"https://doi.org/10.1103/PHYSREVD.103.064056","url":null,"abstract":"The Lorentz invariance of the effective theory emergent from spontaneous local Lorentz violation requires a specific quantum geometry to which Einstein gravity is not applicable. A new gravity arising from a broken SU(2) gauge theory of Weyl doublets is described by the quantum vierbein conformal to the gauge field obeying the Yang-Mills action. We show that the quantum geometry by the gauge field is inevitable for the relativistic interactions between Goldstone bosons and quasi particles emergent from Weyl doublets to reproduce QED. In our model, Weyl doublets turn into quasi leptons, while the massive vector bosons transform into the Goldstone photon, the extra graviton, and a massive scalar boson with the Higgs coupling to the quasi leptons. The extra gravity can be extremely strong, since the gravitational constant is characterized by the scale of local Lorentz violation, which will have the same order of a charged lepton mass. The phenomenological implication of the results obtained is discussed.","PeriodicalId":369778,"journal":{"name":"arXiv: General Physics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129825568","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
Absence of buckling in nerve fiber 神经纤维无屈曲
arXiv: General Physics Pub Date : 2018-09-26 DOI: 10.1063/1.5091242
S. Mazharimousavi, M. Halilsoy
{"title":"Absence of buckling in nerve fiber","authors":"S. Mazharimousavi, M. Halilsoy","doi":"10.1063/1.5091242","DOIUrl":"https://doi.org/10.1063/1.5091242","url":null,"abstract":"In this study we give a geometrical model which employs the smoothness of nerve fibers as differentiable curves. We show that a nerve fiber may encounter large curvature due to the possible helicial bending and hence it could cause the fiber to buckle. However, its membrane structure provides a mechanism, entirely geometrical to avoid it. To overcome the challenge of emerging helix we project it into a plane.","PeriodicalId":369778,"journal":{"name":"arXiv: General Physics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115579218","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
The Earth's Gold: Where Did It Really Come From? 地球的黄金究竟从何而来?
arXiv: General Physics Pub Date : 2018-09-20 DOI: 10.20944/PREPRINTS201809.0480.V1
E. P. Tito, V. Pavlov
{"title":"The Earth's Gold: Where Did It Really Come From?","authors":"E. P. Tito, V. Pavlov","doi":"10.20944/PREPRINTS201809.0480.V1","DOIUrl":"https://doi.org/10.20944/PREPRINTS201809.0480.V1","url":null,"abstract":"Why is it that in the neighborhood of a calm ordinary star (the Sun) located at the quiet periphery of its galaxy (the Milky Way), non-native heavy elements are abundant in such concentrated form? Where did these elements really come from? Where did Earth's gold come from? Our analysis of the known data offers a fact-reconciling hypothesis: What if, in the early solar system, an explosive collision occurred -- of a traveling from afar giant-nuclear-drop-like object with a local massive dense object (perhaps a then-existent companion of the Sun) -- and the debris, through the multitude of reaction channels and nuclei transformations, was then responsible for (1) the enrichment of the solar system with the cocktail of all detected exogenous chemical elements, and (2) the eventual formation of the terrestrial planets that pre-collision did not exist, thus offering a possible explanation for their inner position and compositional differences within the predominantly hydrogen-helium rest of the solar system.","PeriodicalId":369778,"journal":{"name":"arXiv: General Physics","volume":"220 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122548730","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
Dual Quantum Mechanics and Its Electromagnetic Analog 双量子力学及其电磁模拟
arXiv: General Physics Pub Date : 2018-07-22 DOI: 10.20944/PREPRINTS201809.0363.V1
A. Arbab
{"title":"Dual Quantum Mechanics and Its Electromagnetic Analog","authors":"A. Arbab","doi":"10.20944/PREPRINTS201809.0363.V1","DOIUrl":"https://doi.org/10.20944/PREPRINTS201809.0363.V1","url":null,"abstract":"An eigenvalue equation representing symmetric (dual) quantum equation is introduced. The particle is described by two scalar wavefunctions, and two vector wavefunctions. The eigenfunction is found to satisfy the quantum Telegraph equation keeping the form of the particle fixed but decaying its amplitude. An analogy with Maxwellian equations is presented. Massive electromagnetic field will satisfy a quantum Telegraph equation instead of a pure wave equation. This equation resembles the motion of the electromagnetic field in a conducting medium. With a particular setting of the scalar and vector wavefunctions, the dual quantum equations are found to yield the quantized Maxwell's equations. The total energy of the particle is related to the phase velocity ($v_p$) of the wave representing it by $E=p,|v_p|$, where $p$ is the matter wave momentum. A particular solution which describes the process under which the particle undergoes a creation and annihilation is derived. The force acting on the moving particle is expressed in a dual Lorentz-like form. If the particle moves like a fluid, a dissipative (drag) quantum force will arise.","PeriodicalId":369778,"journal":{"name":"arXiv: General Physics","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114183121","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
Particle Mass Oscillation through Tachyon Interaction 通过速子相互作用的粒子质量振荡
arXiv: General Physics Pub Date : 2018-07-05 DOI: 10.20944/PREPRINTS201904.0049.V1
L. Nanni
{"title":"Particle Mass Oscillation through Tachyon Interaction","authors":"L. Nanni","doi":"10.20944/PREPRINTS201904.0049.V1","DOIUrl":"https://doi.org/10.20944/PREPRINTS201904.0049.V1","url":null,"abstract":"In this study, a novel theory to investigate the mass oscillation of particles is proposed. It has been proven that, at high-energy conditions, the fermion field described by Dirac’s Lagrangian interacts with the half-integer spin tachyon field with negative energy, causing the formation of composite particles whose mass depends on the total angular momentum. The proposed theory is based on a new interpretation of the Majorana equation for particles with arbitrary spin and shows that mass oscillation is a phenomenon in which the component of particle decay prevails over that of mixing mass states. Using the kinematic of Lemke for spacelike particle decay, we propose a mechanism able to explain the neutrino flavour change. The proposed mechanism is also investigated concerning the shape of its spectrum. Finally, the Lagrangian field of composite particles is formulated.","PeriodicalId":369778,"journal":{"name":"arXiv: General Physics","volume":"43 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128315033","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
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