scholarly journals Can Bohmian trajectories account for quantum recurrences having classical periodicities?

2007 ◽  
Vol 361 (4-5) ◽  
pp. 294-300 ◽  
Author(s):  
A. Matzkin

2007 ◽  
Vol 39 (6) ◽  
pp. 795-813 ◽  
Author(s):  
F. Shojai ◽  
S. Molladavoudi


2001 ◽  
Vol 34 (13) ◽  
pp. 2753-2764 ◽  
Author(s):  
Gebhard Grübl ◽  
Raimund Moser ◽  
Klaus Rheinberger
Keyword(s):  




2009 ◽  
pp. 171-183
Author(s):  
Andrei Khrennikov
Keyword(s):  


2019 ◽  
Vol 94 (10) ◽  
pp. 105218 ◽  
Author(s):  
A C Tzemos ◽  
G Contopoulos ◽  
C Efthymiopoulos




2008 ◽  
Vol 102 (1-3) ◽  
pp. 219-239 ◽  
Author(s):  
George Contopoulos ◽  
Christos Efthymiopoulos
Keyword(s):  


2005 ◽  
Vol 258 (2) ◽  
pp. 349-365 ◽  
Author(s):  
Stefan Teufel ◽  
Roderich Tumulka


2006 ◽  
Vol 21 (22) ◽  
pp. 4463-4477
Author(s):  
WUNG-HONG HUANG ◽  
I-CHIN WANG

The perfect-fluid cosmology in the (1+d+D)-dimensional Kaluza–Klein space–times for an arbitrary barotropic equation of state p = (γ-1)ρ is quantized by using the Schutz's variational formalism. We make efforts in the mathematics to solve the problems in two cases. In the first case of the stiff fluid γ = 2 we exactly solve the Wheeler–DeWitt equation when the d space is flat. After the superposition of the solutions the wave-packet function is obtained exactly. We analyze the Bohmian trajectories of the final-stage wave-packet functions and show that the scale functions of the flat d spaces and the compact D spaces will eventually evolve into the nonzero finite values. In the second case of γ≈2, we use the approximated wave function in the Wheeler–DeWitt equation to find the analytic forms of the final-stage wave-packet functions. After analyzing the Bohmian trajectories we show that the flat d spaces will be expanding forever while the scale function of the contracting D spaces would not become zero within finite time. Our investigations indicate that the quantum effect in the quantum perfect-fluid cosmology could prevent the extra compact D spaces in the Kaluza–Klein theory from collapsing into a singularity or that the "crack-of-doom" singularity of the extra compact dimensions is made to occur at t = ∞.



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