q-deformed path integral

Масуд Чайчиан, Andrey P. Demichev

Le‐Man Kuang, Fa-Bo Wang, Gao-Jian Zeng

The q -coherent states for the quantum superalgebra U(1/1) q , are introduced. Path integrals in the q -coherent state representations of the U(1/1) q , are constructed and applied to the q -deformed Jaynes-Cummings model whose dynamical superalgebra is the quantum super-algebra U(1/1) q .

Масуд Чайчиан, Demichev, A P

Using differential and integral calculi on the quantum plane which are invariant with respect to quantum inhomogeneous Euclidean group E(2)q , we construct path integral representation for the quantum mechanical evolution operator kernel of q-oscillator.

Масуд Чайчиан, Andrey P. Demichev

Sergie V. Shabanov