11 citations · 12 across the 3 of their papers we have counts for
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Lagrange structure and quantization
P. O. Kazinski, S. L. Lyakhovich, A. A. Sharapov
A path-integral quantization method is proposed for dynamical systems whose classical equations of motion do \textit{not} necessarily follow from the action principle. The key new…
Deformation quantization of linear dissipative systems
V. G. Kupriyanov, S. L. Lyakhovich, A. A. Sharapov
A simple pseudo-Hamiltonian formulation is proposed for the linear inhomogeneous systems of ODEs. In contrast to the usual Hamiltonian mechanics, our approach is based on the use o…
Non-Abelian Conversion and Quantization of Non-scalar Second-Class Constraints
Igor Batalin, Maxim Grigoriev, Simon Lyakhovich
We propose a general method for deformation quantization of any second-class constrained system on a symplectic manifold. The constraints determining an arbitrary constraint surfac…