DIFFUSION OF SCALAR PARTICLES IN JANIS–NEWMAN–WINICOUR–WYMAN GRAVITATIONAL FIELD AND GRBs

The propagation of a boson particle in the Janis–Newman–Winicour–Wyman (JNWW) gravitational field is analyzed. We derive the wave function of the scalar particle, and the effective potential experienced by quantum particles. Besides, we show that the probability to find the scalar particle near the region where the naked singularity is finite. Finally, these results are proposed as a model to study the gamma ray bursts (GRBs) physics.

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Propagation of quantum particles in Brans–Dicke spacetime: The case of gamma ray bursts

Modern Physics Letters A ◽

10.1142/s0217732315400325 ◽

2015 ◽

Vol 30 (22) ◽

pp. 1540032 ◽

Cited By ~ 3

Author(s):

Salvatore Capozziello ◽

Gaetano Lambiase

Keyword(s):

Wave Function ◽

Gravitational Field ◽

Gamma Ray ◽

Naked Singularity ◽

High Energy ◽

Gamma Ray Bursts ◽

Gravitational Coupling ◽

Scalar Particles ◽

Quantum Particles

The propagation of boson particles in a gravitational field described by the Brans–Dicke (BD) theory of gravity is analyzed. We derive the wave function of the scalar particles, and the effective potential experienced by the quantum particles considering the role of the varying gravitational coupling. Besides, we calculate the probability to find the scalar particles near the region where a naked singularity is present. The extremely high energy radiated in such a situation could account for the huge emitted power observed in gamma ray bursts (GRBs).

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Interesting Examples of Violation of the Classical Equivalence Principle but Not of the Weak One

Advances in High Energy Physics ◽

10.1155/2018/2897419 ◽

2018 ◽

Vol 2018 ◽

pp. 1-13

Author(s):

Antonio Accioly ◽

Wallace Herdy

Keyword(s):

Wave Function ◽

Quantum Mechanics ◽

Gravitational Field ◽

Experimental Test ◽

Equivalence Principle ◽

Free Fall ◽

Higher Order ◽

Tree Level ◽

Quantum Particles ◽

Bohr Atom

The equivalence principle (EP) and Schiff’s conjecture are discussed en passant, and the connection between the EP and quantum mechanics is then briefly analyzed. Two semiclassical violations of the classical equivalence principle (CEP) but not of the weak one (WEP), i.e., Greenberger gravitational Bohr atom and the tree-level scattering of different quantum particles by an external weak higher-order gravitational field, are thoroughly investigated afterwards. Next, two quantum examples of systems that agree with the WEP but not with the CEP, namely, COW experiment and free fall in a constant gravitational field of a massive object described by its wave-function Ψ, are discussed in detail. Keeping in mind that, among the four examples focused on in this work only COW experiment is based on an experimental test, some important details related to it are presented as well.

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