Path integral quantization corresponding to the deformed Heisenberg algebra

Pramanik, Souvik; Moussa, Mohamed; Faizal, Mir; Ali, Ahmed Farag

doi:10.1016/j.aop.2015.07.026

Cited by 38 publications

(24 citation statements)

References 74 publications

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“…To do this, we obtain the total mass M as a function of the extensive quantities Q and S. Using the expression for the entropy, the electric charge and the mass given in Eqs. (17), (19), (24) and (25), and the fact that f (r = r + ) = 0, one can obtain a Smarr-type formula as…”

Section: First Law Of Thermodynamics and Thermal Stabilitymentioning

confidence: 98%

Asymptotically charged BTZ black holes in gravity’s rainbow

Hendi

2016

Gen Relativ Gravit

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Motivated by the wide applications of BTZ black holes and interesting results of gravity's rainbow, we consider three dimensional rainbow solutions and investigate their thermodynamic properties. In addition to investigate black holes thermodynamics related to AdS/CFT correspondence, one may regard gravity's rainbow to encode quantum gravity effects into the black hole solutions. We take into account the various models of linear and nonlinear electrodynamics and study their effects on the gravity's rainbow spacetime. We also examine thermal stability and find that obtained three dimensional rainbow black holes are thermally stable.

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Section: First Law Of Thermodynamics and Thermal Stabilitymentioning

confidence: 98%

Asymptotically charged BTZ black holes in gravity’s rainbow

Hendi

2016

Gen Relativ Gravit

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“…It is worthwhile to note that this sort of isolated solution cannot describe scattering states and is subject to the normalization condition (10). Because f and g are normalizable functions, the possible isolated solution presupposes V p (X) = 0.…”

Section: Equations Of Motion and Isolated Solutionmentioning

confidence: 99%

“…The existence of such minimal length, which arise when quantum fluctuations of the gravitational field (at Planck scale) are taken into account, is a common feature among most of theories of quantum gravity such as, string theory [2], loop quantum gravity [3], quantum cosmology [4,5,6], noncommutative field theories [7,8,9,10], and black hole physics [11,12,13,14,15,16]. One of the interesting implications of introducing this minimal length is the modification of the standard commutation relation between position and momentum, which is transformed into a generalized relation that includes an additional quadratic term in momentum, namely, [X, P ] = i (1 + βP 2 ), where β = β 0 l p / 2 , β 0 is a dimensionless constant.…”

Section: Introductionmentioning

confidence: 99%

Generalized relativistic harmonic oscillator in minimal length quantum mechanics

Castro¹,

Obispo²

2017

J. Phys. A: Math. Theor.

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Abstract. We solve the generalized relativistic harmonic oscillator in 1 + 1 dimensions in the presence of a minimal length. Using the momentum space representation, we explore all the possible signs of the potentials and discuss their bound-state solutions for fermions and antifermions. Furthermore, we also find an isolated solution from the Sturm-Liouville scheme. All cases already analyzed in the literature, are obtained as particular cases.

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“…In the standard narrative, due to HR, a black hole is thought to lose mass and, eventually, after a very long period of time, to evaporate completely [17][18][19]. However, this scenario may not correctly reflect the final stage of a black hole, since the effects of the GUP modify the Hawking temperature; hence, the black hole may not evaporate completely and may leave remnants [35][36][37][38][39][40][41][42][43][44][45].…”

Section: Introductionmentioning

confidence: 99%

The effect of the GUP on massive vector and scalar particles tunneling from a warped DGP gravity black hole

Овгун¹,

Jusufi²

2017

Eur. Phys. J. Plus

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This paper discusses the effects of the mass and the angular momentum of massive vector and scalar particles on the Hawking temperature manifested under the effects of the generalized uncertainty principle (GUP). In particular, we calculate the Hawking temperature of a black hole in a warped DGP gravity model in the framework of the quantum tunneling method. We use the modified Proca and Klein-Gordon equations previously determined from the GUP Lagrangian in the spacetime background of a warped Dvali-Gabadadze-Porrati (DGP) metric, with the help of Hamilton-Jacobi (HJ) and semiclassical (WKB) approximation methods. We find that as a special case of a warped DGP black hole solution, the Hawking temperature of a Schwarzschild-de Sitter (SdS) black hole can be determined. Furthermore, the Hawking temperature is influenced by the mass and the angular momentum of vector and scalar particles and depends on which of those types of particles is being emitted by the black hole. We conclude that the nonthermal nature of the Hawking spectrum leads to Planck-scale nonthermal correlations, shedding light on the information paradox in black hole evaporation.

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Path integral quantization corresponding to the deformed Heisenberg algebra

Cited by 38 publications

References 74 publications

Asymptotically charged BTZ black holes in gravity’s rainbow

Asymptotically charged BTZ black holes in gravity’s rainbow

Generalized relativistic harmonic oscillator in minimal length quantum mechanics

The effect of the GUP on massive vector and scalar particles tunneling from a warped DGP gravity black hole

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