68 citations · 298 across the 22 of their papers we have counts for
5 papers · 1 filter
Two interacting spins in external fields. Four-level systems
V. G. Bagrov, M. C. Baldiotti, D. M. Gitman +1
In the present article, we consider the so-called two-spin equation that describes four-level quantum systems. Recently, these systems attract attention due to their relation to th…
Two-level systems: exact solutions and underlying pseudo-supersymmetry
V. V. Shamshutdinova, Boris F. Samsonov, D. M. Gitman
Chains of first-order SUSY transformations for the spin equation are studied in detail. It is shown that the transformation chains are related with a olynomial pseudo-supersymmetry…
Canonical quantization of so-called non-Lagrangian systems
D. M. Gitman, V. G. Kupriyanov
We present an approach to the canonical quantization of systems with equations of motion that are historically called non-Lagrangian equations. Our viewpoint of this problem is the…
Self-adjoint differential operators assosiated with self-adjoint differential expressions
B. L. Voronov, D. M. Gitman, I. V. Tyutin
Considerable attention has been recently focused on quantum-mechanical systems with boundaries and/or singular potentials for which the construction of physical observables as self…
Stability of a Noncommutative Jackiw-Teitelboim Gravity
D. V. Vassilevich, R. Fresneda, D. M. Gitman
We start with a noncommutative version of the Jackiw-Teitelboim gravity in two dimensions which has a linear potential for the dilaton fields. We study whether it is possible to de…