5 papers
Exact continuity equation in a space with minimal length
H. P. Laba, V. M. Tkachuk
We derive continuity equation and exact expression for flow probability density in a space with arbitrary deformed algebra leading to minimal length. In coordinate representation t…
Entangled states in supersymmetric quantum mechanics
H. P. Laba, V. M. Tkachuk
We study entanglement of spin degrees of freedom with continuous one in supersymmetric (SUSY) quantum mechanics. Concurrence is determined by mean value of spin and is calculated e…
Geometric measure of mixing of quantum state
H. P. Laba, V. M. Tkachuk
We define the geometric measure of mixing of quantum state as a minimal Hilbert-Schmidt distance between the mixed state and a set of pure states. An explicit expression for the ge…
Features of free particles system motion in noncommutative phase space
Kh. P. Gnatenko, H. P. Laba, V. M. Tkachuk
Influence of noncommutativity on the motion of composite system is studied in noncommutative phase space of canonical type. A system composed by free particles is examined. We…
Exact solution of generalized Dirac oscillator in electric field
H. P. Laba, V. M. Tkachuk
We study generalized (1+1)-dimensional Dirac oscillator in nonuniform electric field. It is shown that in the case of specially chosen electric field the eigenvalue equation can be…