38 citations · 73 across the 8 of their papers we have counts for
8 papers
Geometric Dequantization
A. A. Abrikosov, E. Gozzi, D. Mauro
Dequantization is a set of rules which turn quantum mechanics (QM) into classical mechanics (CM). It is not the WKB limit of QM. In this paper we show that, by extending time to a…
Time and Geometric Quantization
A. A. Abrikosov, E. Gozzi, D. Mauro
In this paper we briefly review the functional version of the Koopman-von Neumann operatorial approach to classical mechanics. We then show that its quantization can be achieved by…
Dirac operator on the Riemann sphere
A. A. Abrikosov
We solve for spectrum, obtain explicitly and study group properties of eigenfunctions of Dirac operator on the Riemann sphere . The eigenvalues are nonzero integers. The e…
Instantons in non-Cartesian coordinates
A. A. Abrikosov
The explicit multi-instanton solutions by 'tHooft and Jackiw, Nohl & Rebbi are generalized to curvilinear coordinates. The idea is that a gauge transformation can notably simplify…
Quantization and Time
A. A. Abrikosov, E. Gozzi
Starting from a functional formulation of classical mechanics, we show how to perform its quantization by freezing to zero two Grassmannian partners of time.
Instantons in curvilinear coordinates
Alexei A. Abrikosov
The multi-instanton solutions by 'tHooft and Jackiw, Nohl & Rebbi are generalized to curvilinear coordinates. Expressions can be notably simplified by the appropriate gauge transfo…