A K Mishra
Articles written in Pramana – Journal of Physics
Volume 36 Issue 5 May 1991 pp 537-555 Research Articles
We construct the algebra of the creation and destruction operators for spin 1/2 particles obeying a new exclusion principle which is “more exclusive” than Pauli’s exclusion principle: an orbital state shall not contain more than one particle, whether spin up or spin down. The consequences of this algebra are studied and applications to the Hubbard model in condensed matter physics are indicated.
Volume 37 Issue 5 November 1991 pp 455-455 Erratum
Volume 38 Issue 4 April 1992 pp 1- Rapid Communication
We propose a new two-parameter deformation of the algebra of creation and destruction operators, which allows the construction of a new family of Hillbert spaces with positive definite inner product. This provides a continuous interpolation between two new forms of statistics named orthofermi and orthobose statistics. Positivity of the inner product over the two-parameter region is discussed.
Volume 40 Issue 3 March 1993 pp 149-176
A general analysis of bilinear algebras of creation and destruction operators is performed. Generalizing the earlier work on the single-parameter
Volume 45 Issue 2 August 1995 pp 91-139
We formulate a theory of generalized Fock spaces which underlies the different forms of quantum statistics such as ‘infinite’, Bose-Einstein and Fermi-Dirac statistics. Single-indexed systems as well as multi-indexed systems that cannot be mapped into single-indexed systems are studied. Our theory is based on a three-tiered structure consisting of Fock space, statistics and algebra. This general formalism not only unifies the various forms of statistics and algebras, but also allows us to construct many new forms of quantum statistics as well as many algebras of creation and destruction operators. Some of these are: new algebras for infinite statistics,
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