One of the hallmarks of quantum statistics, tightly entwined with the concept of topological
phases of matter, is the prediction of anyons. Although anyons are predicted to be realized …

We present an approach to the Bose polaron based on the notion of quantum groups, also
known as q-deformed Lie algebras. In this approach, a mobile impurity can be depicted as a …

We study a class of polaron-type Hamiltonians with sufficiently regular form factor in the
interaction term. We investigate the strong-coupling limit of the model, and prove suitable …

Starting on the basis of Fibonacci calculus and Fibonacci oscillator algebra, we introduce
the main properties to develop a new formalism for the two-parameter (q 1, q 2)-deformed …

In this study, we consider a deformed gas of the bosonic Fibonacci oscillators, whose
properties enable us to develop both an intermediate-statistics behavior and an energy …

In this paper, we consider a system of the q-deformed bosonic Tamm-Dancoff oscillators,
whose spectrum has some exponential cutoff factors at high energies. We first investigate …

In this work, we present a new algebraic modelby constructing the modified multi-
dimensional q-deformed bosonic and fermionic Newton oscillator algebras. This …

In this paper, we show that several applications of SU q (2) fermions to statistical mechanics
and quantum field theory, previously discussed in literature, are based on a wrong statement …

The polaron model is a basic model of quantum field theory describing a single particle
interacting with a bosonic field. It arises in many physical contexts. We are mostly concerned …

The multi-dimensional q-deformed bosonic Newton oscillator algebra with SU (d)-symmetry
is considered. In this framework, we first introduce some new properties concerning the q …