7 papers
Group Transformations of Semiclassical Gauge Systems
Oleg Shvedov
Semiclassical systems being symmetric under Lie group are studied. A state of a semiclassical system may be viewed as a set (X,f) of a classical state X and a quantum state f in th…
Semiclassical Mechanics of Constrained Systems
Oleg Shvedov
Semiclassical mechanics of systems with first-class constraints is developed. Starting from the quantum theory, one investigates such objects as semiclassical states and observable…
BRST-BFV, Dirac and Projection Operator Quantizations: Correspondence of States
Oleg Yu. Shvedov
The correspondence between BRST-BFV, Dirac and projection operator approaches to quantize constrained systems is analyzed. It is shown that the component of the BFV wave function w…
Refined Algebraic Quantization of Constrained Systems with Structure Functions
Oleg Yu. Shvedov
The method of refined algebraic quantization of constrained systems which is based on modification of the inner product of the theory rather than on imposing constraints on the phy…
Approximations of Strongly Singular Evolution Equations
Oleg Shvedov
The problem of specification of self-adjoint operators corresponding to singular bilinear forms is very important for applications, such as quantum field theory and theory of parti…
Poincare Invariance of Hamiltonian Semiclassical Field Theory
Oleg Shvedov
Semiclassical Hamiltonian field theory is investigated from the axiomatic point of view. A notion of a semiclassical state is introduced. An "elementary" semiclassical state is spe…