arXiv subjects

V. Sunilkumar

Publications and source records attributed to V. Sunilkumar.

2 recordsLinked to original sources

arXiv2002

Aspects of Polynomial algebras and their physical applications

In this thesis quadratic and cubic algebras, which are extensions of SU(1,1) and SU(2) are studied in detail, with particular attention being given to their construction, their finite and infinite dimensional irreducible representations and the differential realizations of their generators in the space of analytic functions. The above construction is extended to formulate a general method for the construction and representations of higher order polynomial algebras by a generalized Jordan-Schwinger method. Various coherent states corresponding to polynomial algebras are constructed. Physical applications of the polynomial algebra are given.

math-ph↗

arXiv1999

Coherent States for the Deformed Algebras

We provide a unified approach for finding the coherent states of various deformed algebras, including quadratic, Higgs and q-deformed algebras, which are relevant for many physical problems. For the non-compact cases, coherent states, which are the eigenstates of the respective annihilation operators, are constructed by finding the canonical conjugates of these operators. We give a general procedure to map these deformed algebras to appropriate Lie algebras. Generalized coherent states, in the Perelomov sense, follow from this construction.

quant-ph↗