On the interplay of classical and quantum fluctuations: an exactly solvable model for a structural phase transition

1993 ◽  
Vol 197 (1-2) ◽  
pp. 301-318 ◽  
Author(s):  
E.S. Pisanova ◽  
N.S. Tonchev
Keyword(s):  
Phase Transition ◽  
Structural Phase Transition ◽  
Structural Phase ◽  
Solvable Model ◽  
Quantum Fluctuations ◽  
Exactly Solvable Model ◽  
Exactly Solvable

Exactly solvable model of a structural phase transition

1991 ◽  
Vol 29 (3) ◽  
pp. 179-197 ◽  
Author(s):  
N. M. Plakida ◽  
A. Radosz ◽  
N. S. Tonchev
Keyword(s):  
Phase Transition ◽  
Structural Phase Transition ◽  
Structural Phase ◽  
Solvable Model ◽  
Exactly Solvable Model ◽  
Exactly Solvable

Exactly solvable model of a phase transition between hadronic and quark-gluon matter

1982 ◽  
Vol 52 (3) ◽  
pp. 843-854 ◽  
Author(s):  
M. I. Gorenshtein ◽  
G. M. Zinov'ev ◽  
V. K. Petrov ◽  
V. P. Shelest
Keyword(s):  
Phase Transition ◽  
Solvable Model ◽  
Exactly Solvable Model ◽  
Exactly Solvable

scholarly journals Harmonic cosmology: how much can we know about a universe before the big bang?

2008 ◽  
Vol 464 (2096) ◽  
pp. 2135-2150 ◽  
Author(s):  
Martin Bojowald
Keyword(s):  
Solvable Model ◽  
Quantum Fluctuations ◽  
Realistic Model ◽  
Big Bang ◽  
Exactly Solvable Model ◽  
Reliable Determination ◽  
Exactly Solvable ◽  
Time Singularities ◽  
The Big Bang

Quantum gravity may remove classical space–time singularities and thus reveal what a universe at the big bang could be like. In loop quantum cosmology, an exactly solvable model is available, which allows one to address precise dynamical coherent states and their evolution in such a setting. It is shown here that quantum fluctuations before the big bang are generically unrelated to those after the big bang. While this is derived only in the solvable model, it presents the case of the strongest control on coherence properties; adding ingredients to a realistic model could only increase the complexity. A reliable determination of pre-big bang quantum fluctuations of geometry would thus require exceedingly precise observations.

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