Band mixing in<sup>29</sup>Si and<sup>29</sup>P

Hossain, S.; Abdullah, M. N. A.; Das, Susanta Kumar; Uddin, Md. Azhar; Basak, A. K.; Gupta, H. M. Sen; Thompson, I. J.; Malik, F.B.

doi:10.1088/0954-3899/31/5/003

Cited by 9 publications

(6 citation statements)

References 57 publications

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“…We shall see later that with the given definition of the Fourier modes (46), the fiducial volume V − will drop out from the expression of the Hamiltonian of the modes. Given the finiteness of the fiducial volume, the Kronecker delta can be expressed as…”

Section: G Fourier Modes For Observer O −mentioning

confidence: 99%

“…In the context of polymer quantization of matter field, recently it has been argued that the Unruh effect [42][43][44] may get altered significantly due to the existence of a new length scale akin to the Planck length [45][46][47]. Polymer quantization [48,49] is a canonical quantization method which is used in loop quantum gravity [50][51][52].…”

Section: Introductionmentioning

confidence: 99%

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Exact derivation of the Hawking effect in canonical formulation

2018

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The Hawking effect is one of the most extensively studied topics in modern physics. Yet it remains relatively under-explored within the framework of canonical quantization. The key difficulty lies in the fact that the Hawking effect is principally understood using the relation between the ingoing modes which leave past null infinity and the outgoing modes which arrive at future null infinity. Naturally, these modes are described using advanced and retarded null coordinates instead of the usual Schwarzschild coordinates. However, null coordinates do not lead to a true Hamiltonian that describes the evolution of these modes. In order to overcome these hurdles in a canonical formulation, we introduce here a set of near-null coordinates which allows one to perform an exact Hamiltonian-based derivation of the Hawking effect. This derivation opens up an avenue to explore the Hawking effect using different canonical quantization methods such as polymer quantization.

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Section: G Fourier Modes For Observer O −mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Exact derivation of the Hawking effect in canonical formulation

2018

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“…(i) the anomalous large angle scattering (ALAS) in angular distributions of α and 6,7 Li elastic collisions [1][2][3][4][5][6][7][8] and α-inelastic scattering by 24 Mg and 28 Si [9]; (ii) the oscillations of the angular distributions along with the correct order of absolute cross sections (CSs) of the 27 Al(α, t) 28 Si [10], 28,29,30 Si(α, d) 30,31,32 P [11, 12], 28 Si(α,p) 31 P [13], and 28 Si(α,t) 29 P and 28 Si(α, 3 He) 29 Si [14] reactions.…”

Section: Introductionmentioning

confidence: 99%

Non-monotonic potential description of alpha–Zr refractive elastic scattering

Hossain

Billah

Azad

et al. 2013

J. Phys. G: Nucl. Part. Phys.

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Experimental differential cross sections of α elastic scattering by 90Zr in the 15.0–141.7 MeV range of the bombarding energies have been analysed within the framework of an optical model using non-monotonic (NM) potentials. These potentials are generated from the energy-density functional theory using a realistic two-nucleon potential coupled with an appropriate consideration of the Pauli principle. The NM nature of the real part of the potential seems to be gradually diminishing at energies beyond 118.0 MeV. The Airy structure of the nuclear rainbow scattering data in the energy range of 79.5–141.7 MeV is for the first time well accounted for by the shallow NM potential. Two potential families, which are located in the real part, bear a linear variation of a volume integral in the energy range 25.0–141.7 MeV with a threshold anomaly at the lower energies. The potential contains an interior repulsive part that, with energy, shifts towards the surface and gradually weakens until it is almost lost in the nuclear surface. The requirement of a deep attractive real part of the nuclear potential seems to be generally non-stringent for describing the nuclear rainbow oscillations. Some discrete ambiguities in the potentials seem to persist even when the ‘exponential falloff’ in the angular distribution following the ‘rainbow angle’ is well reproduced in this investigation using the NM real part of the optical potentials.

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“…We want to mention that the asymptotic expressions of the energy eigen-values from Eqn. (37,38) are also utilized in [42][43][44] to observe the Unruh and Hawking effect for polymer observer. One can also look into [45][46][47][48] where polymer quantization is used in different systems to study particle creation.…”

Section: Polymer Quantizationmentioning

confidence: 99%

Perturbative approach to the entanglement entropy and the area law in Fock and polymer quantization

Barman

Sardar

2019

Phys. Rev. D

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The area dependence of entanglement entropy of a free scalar field is often understood in terms of coupled harmonic oscillators. In Schrodinger quantization, the Gaussian nature of ground state wave-function for these oscillators is sufficient to provide the exact form of the reduced density matrix and its eigenvalues, thus giving the entanglement entropy. However, in polymer quantization, the ground state is not Gaussian and the formalism which can provide the exact analytical form of the reduced density matrix is not yet known. In order to address this issue, here we treat the interaction between two coupled harmonic oscillators in the perturbative approach and evaluate the entanglement entropy in Schrodinger and polymer quantization. In contrary to Schrodinger quantization, we show that in high frequency regime the entanglement entropy decreases for polymer quantization keeping the ratio of coupling strength to the square of individual oscillator frequency fixed. Furthermore, for a free scalar field, we validate the area dependence of entanglement entropy in Fock quantization and demonstrate that polymer quantization produces a similar area law.

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Band mixing in²⁹Si and²⁹P

Cited by 9 publications

References 57 publications

Exact derivation of the Hawking effect in canonical formulation

Exact derivation of the Hawking effect in canonical formulation

Non-monotonic potential description of alpha–Zr refractive elastic scattering

Perturbative approach to the entanglement entropy and the area law in Fock and polymer quantization

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Band mixing in29Si and29P

Cited by 9 publications

References 57 publications

Exact derivation of the Hawking effect in canonical formulation

Exact derivation of the Hawking effect in canonical formulation

Non-monotonic potential description of alpha–Zr refractive elastic scattering

Perturbative approach to the entanglement entropy and the area law in Fock and polymer quantization

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Band mixing in²⁹Si and²⁹P