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Calogero-Vasiliev Oscillator in Dynamically Evolving Curved Spacetime | | Jim Goodison
; | | Date: |
10 Mar 1995 | | Journal: | Phys. Lett. B350 (1995) 17 | | Subject: | hep-th | | Abstract: | In a recent work, the consequences of quantizing a real scalar field $Phi$ according to generalized ``quon’’ statistics in a dynamically evolving curved spacetime (~which, prior to some initial time and subsequent to some later time, is flat~) were considered. Here a similar calculation is performed; this time we quantize $Phi$ via the Calogero-Vasiliev oscillator algebra, described by a real parameter $
u > -1/2$. It is found that both conservation ( $
u
ightarrow
u$ ) and anticonservation ( $
u
ightarrow -
u$ ) of statistics is allowed. We find that for mathematical consistency the Bogoliubov coefficients associated with the $i$’th field mode must satisfy $|alpha_i |^2 - | eta_i |^2 = 1$ with $| eta_i |^2$ taking an integer value. | | Source: | arXiv, hep-th/9503067 | | Services: | Forum | Review | PDF | Favorites | |
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