56 citations · 839 across the 38 of their papers we have counts for
4 papers · 1 filter
Solvable Models on Noncommutative Spaces with Minimal Length Uncertainty Relations
Sanjib Dey
Our main focus is to explore different models in noncommutative spaces in higher dimensions. We provide a procedure to relate a three dimensional q-deformed oscillator algebra to t…
Spontaneous PT-symmetry breaking for systems of noncommutative Euclidean Lie algebraic type
Sanjib Dey, Andreas Fring, Thilagarajah Mathanaranjan
We propose a noncommutative version of the Euclidean Lie algebra . Several types of non-Hermitian Hamiltonian systems expressed in terms of generic combinations of the generat…
Noncommutative quantum mechanics in a time-dependent background
Sanjib Dey, Andreas Fring
We investigate a quantum mechanical system on a noncommutative space for which the structure constant is explicitly time-dependent. Any autonomous Hamiltonian on such a space acqui…
Non-Hermitian systems of Euclidean Lie algebraic type with real eigenvalue spectra
Sanjib Dey, Andreas Fring, Thilagarajah Mathanaranjan
We study several classes of non-Hermitian Hamiltonian systems, which can be expressed in terms of bilinear combinations of Euclidean Lie algebraic generators. The classes are disti…