Quantum particle production in an expanding universe and Kaluza-Klein theories

1985 ◽  
Vol 32 (12) ◽  
pp. 3118-3123 ◽  
Author(s):  
Philip Gribosky
2008 ◽  
Vol 14 (2) ◽  
pp. 140-146 ◽  
Author(s):  
A. B. Batista ◽  
J. C. Fabris ◽  
S. J. M. Houndjo

2018 ◽  
Vol 33 (07n08) ◽  
pp. 1830005 ◽  
Author(s):  
T. Padmanabhan

It is well known that the time-dependent harmonic oscillator (TDHO) possesses a conserved quantity, usually called Ermakov–Lewis invariant. I provide a simple physical interpretation of this invariant as well as a whole family of related invariants. This interpretation does not seem to have been noticed in the literature before. The procedure also allows one to tackle some key conceptual issues which arise in the study of quantum fields in the external, time-dependent backgrounds like in the case of particle production in an expanding universe and Schwinger effect.


2019 ◽  
Vol 100 (4) ◽  
Author(s):  
Karthik Rajeev ◽  
Sumanta Chakraborty ◽  
T. Padmanabhan

We extend our previous work on scalar quantum particle production by moving mirrors in two-dimensional flat space-time to models with asymptotically null trajectories. This proves to have considerable heuristic value in understanding the mechanism of quantum particle emission from black holes. We demonstrate that Hawking’s derivation of that phenomenon using ray-tracing is mathematically identical to the geometrical optics associated with a certain class of mirror trajectory. Investigation of the simpler system clarifies the relation between particles and energy in quantum field theory. A mirror trajectory is presented by which a flux of particles is created, but no energy at all is radiated. We also show that the stimulated emission that occurs when a single particle is incident on the mirror simply corresponds to the classical reflexion of the associated wave, and that the total energy may decrease in this process.


2011 ◽  
Vol 84 (12) ◽  
Author(s):  
John D. Barrow ◽  
Antônio B. Batista ◽  
Júlio C. Fabris ◽  
Mahouton J. S. Houndjo ◽  
Giuseppe Dito

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