3 citations · 5 across the 6 of their papers we have counts for
6 papers
Rigged Hilbert spaces and inductive limits
S. A. Pol'shin
We construct a nuclear space as an inductive limit of finite-dimensional subspaces of a Hilbert space in such a way that becomes a rigged Hilbert space, thus sim…
Relative cohomology of algebraic theories
Simeon Pol'shin
We construct relative abelian categories in the sense of MacLane for models of algebraic systems in (co)complete abelian categories. As an example, we consider an analogue of Hochs…
A cohomological construction of modules over Fedosov deformation quantization algebra
S. A. Pol'shin
In certain neighborhood of an arbitrary point of a symplectic manifold we construct a Fedosov-type star-product such that for an arbitrary leaf of a given po…
Classical limit of the Kepler problem and the contraction of phase space
Simeon Pol'shin
Paper withdrawn, see math-ph/0505072
Coherent states for the hydrogen atom: discrete and continuous spectra
Simeon Pol'shin
We construct the systems of generalised coherent states for the discrete and continuous spectra of the hydrogen atom. These systems are expressed in elementary functions and are in…
Quantization of massless fields over the static Robertson-Walker space of constant negative curvature
Simeon Pol'shin
Taking the space as an example, we develop the new method of quantization of fields over symmetric spaces. We construct the quantized massless fields of an…