Noncommutative differential geometry on deformed quantum mechanical phase spaces

Noncommutative differential geometry on deformed quantum mechanical phase spaces

The problem of formulating noncommutative differential geometry on multiparametric deformations of arbitrary quantum mechanical phase spaces involving bosonic or (even or odd‐dimensional) fermionic variables is investigated. A suitable enlargement of the basic quadratic algebras enables one to solve...

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Veröffentlicht in:Journal of mathematical physics 1994-04, Vol.35 (4), p.1984-1991
Hauptverfasser: Parashar, Preeti, Bhasin, V. S., Soni, S. K.
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container_end_page 1991
container_issue 4
container_start_page 1984
container_title Journal of mathematical physics
container_volume 35
creator Parashar, Preeti
Bhasin, V. S.
Soni, S. K.
description The problem of formulating noncommutative differential geometry on multiparametric deformations of arbitrary quantum mechanical phase spaces involving bosonic or (even or odd‐dimensional) fermionic variables is investigated. A suitable enlargement of the basic quadratic algebras enables one to solve all the consistency conditions on the calculus with the help of plausible ansatzes.
doi_str_mv 10.1063/1.530583
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title Noncommutative differential geometry on deformed quantum mechanical phase spaces
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