Fock space representation of differential calculus on the noncommutative quantum space

Journal Article · Wed Jan 01 00:00:00 EST 1997 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.531828· OSTI ID:435156

Mishra, A K; Rajasekaran, G ^[1]

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1. Institute of Mathematical Sciences, C.I.T. Campus, Madras - 600 113 (India)

A complete Fock space representation of the covariant differential calculus on quantum space is constructed. The consistency criteria for the ensuing algebraic structure, mapping to the canonical fermions and bosons and the consequences of the new algebra for the statistics of quanta are analyzed and discussed. The concept of statistical transmutation between bosons and fermions is introduced. {copyright} {ital 1997 American Institute of Physics.}

• OSTI ID: 435156
• Journal Information: Journal of Mathematical Physics, Vol. 38, Issue 1; Other Information: PBD: Jan 1997
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
DIFFERENTIAL CALCULUS
FOCK REPRESENTATION
ALGEBRA
QUANTUM FIELD THEORY
BOSONS
FERMIONS
CREATION OPERATORS
ANNIHILATION OPERATORS
quantum statistical mechanics