Spin-1 particle in an electrical field in (1 + 1)-dimensional Schrödinger spacetime

Sogut, K.; Havare, Ali

doi:10.1088/0264-9381/23/23/031

Cited by 21 publications

(15 citation statements)

References 43 publications

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“…It is significant to mention here that the first component of current density has been affected from the sign of and even though zeroth component does not. Consequently, it can be said easily that there is a relationship between the spatial or the first component of current and particle production (Sogut and Havare, 2006). To understand this relation, it is needed to follow cWKB method (Biswas, Guha and Sarkar, 1993;Biswas, Guha and Sarkar, 1994a;Biswas, Guha and Dasgupta, 1994b;Guha, Biswas, Sarkar and Biswas, 1995;Biswas, Guha and Sarkar, 1995;Sarkar and Biswas, 1998).…”

Section: Calculating Components Of the Kemmer Currentmentioning

confidence: 99%

“…The curvature arising from the contraction or expansion of the spacetime affects instability of the vacuum like time-dependent strong electric fields (Hawking, 1975;Birrell and Davies, 1982;Villalba, 1995;Salti and Havare, 2005;Havare, Korunur, Aydogdu, Salti and Yetkin, 2005;Parker and Toms, 2009). In recent years, the number of papers related to DKP equation in (1+1) dimensions has been observed an increasing trend since it is hard to be solved in (3+1) dimensions (Darroodi, Hassanabadi and Salehi, 2015;Sogut and Havare, 2010;Boumali, 2007;Sogut and Havare, 2006;Unal, 2005;Villalba and Greiner, 2001;Villalba, 1999;Unal, 1998;Unal, 1997;Garriga, 1994).…”

Section: Introductionmentioning

confidence: 99%

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Creation of massive spin-1 particles in Robertson-Walker universe

Kangal¹

2018

AKU-J. Sci. Eng.

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Bu çalışmada, ilk adım olarak, zamana bağlı bir dış elektrik alanın varlığında Robertson-Walker(RW) tipi (1+1)-boyutlu uzay-zaman modeli kullanılarak kütleli spin-1 parçacıklarını dinamiğini betimleyen Duffine-Kemmer-Petiau (DKP) denkleminin tam çözümleri elde edilmiştir. Daha sonra, elde edilen çözümler kullanılarak akım yoğunluğu hesaplanarak parçacık yaratma durumları tartışılmıştır. Parçacık yaratma sürecinin doğrudan ölçek parametresi ve elektrik alanın büyüklüğüne bağlı olduğu sonucuna ulaşılmıştır.

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Section: Calculating Components Of the Kemmer Currentmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Creation of massive spin-1 particles in Robertson-Walker universe

Kangal¹

2018

AKU-J. Sci. Eng.

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“…For the two-dimensional case, we choose the Dirac matrices γ a in terms of Pauli matrices as [20][21][22] …”

Section: Eigen Solutions Of the Two-dimensional Dirac Oscillatormentioning

confidence: 99%

Exact solutions of a two-dimensional Kemmer oscillator in the gravitational field of cosmic string

Messai

Boumali

2015

Eur. Phys. J. Plus

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The two dimensional Kemmer oscillator under the influence of the gravitational field produced by a topology such as the cosmic string spacetime and in the presence of a uniform magnetic field as well as without magnetic field are investigated. The eigensolutions of our problem have been found by using the generalized parametric Nikiforov-Uvarov (NU) method, and the influence of the cosmic string space-time on the energy spectrum has been analyzed. We show that the dependence of the energy levels of the quantum system with the angular deficit α, which characterizes the global structure of the metric in the cosmic string spacetime, breaks the degeneracy of these levels.

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“…the symmetry of the motion of the electron around the magnetic flux makes Pauli's criterion inapplicable. Many authors have ignored the inapplicability of the criterion of Pauli [34], for example, see Ref [41].…”

Section: Introductionmentioning

confidence: 99%

Exact solutions of vector bosons in the presence of the Aharonov-Bohm and Coulomb potentials in the gravitational field of topological defects in non-commutative space-time

Boumali¹,

Aounallah²

2020

Rev. Mex. Fís.

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In this paper, we obtain the exact solutions of Duffin-Kemmer-Petiau equation spin-1 in thepresence of the Aharonov-Bohm and Coulomb potential in the gravitational field of cosmic stringand a global monopole, we are study the DKP equation in commutative space-time, We separatedthe variables with the help of Wigner functions and the parity operator, We solved the system ofthe second order differential equation in the case of P = (−1) j+1 , but in the case of P = (−1) j wesolved the system in j = 0. The spectrum of energy in the gravitational field of cosmic string and aglobal monopole are different, and the commutation relation of the angular momentum are obviouslydifferent from Pauli criterion in the Aharonov-Bohm effect, in spin-0 and spin-1 we have the non-commutativity energy by the perturbation theory, the energy is transition from commutative tonon-commutative spac

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Spin-1 particle in an electrical field in (1 + 1)-dimensional Schrödinger spacetime

Cited by 21 publications

References 43 publications

Creation of massive spin-1 particles in Robertson-Walker universe

Creation of massive spin-1 particles in Robertson-Walker universe

Exact solutions of a two-dimensional Kemmer oscillator in the gravitational field of cosmic string

Exact solutions of vector bosons in the presence of the Aharonov-Bohm and Coulomb potentials in the gravitational field of topological defects in non-commutative space-time

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