16 citations · 27 across the 9 of their papers we have counts for
9 papers
A model with generalized Y-junction
P. N. Bibikov, L. V. Prokhorov
The Klein-Fock-Gordon equation is studied on the generalized Y-junction of strings with a massive center. The corresponding formulas for wave scattering and normal modes are ob…
Quantum mechanics not on manifold
P. N. Bibikov, L. V. Prokhorov
The free scalar field is studied on the Y-junction of three semi infinite axes which is the simplest example of a non-manifold space. It is shown that under an assumption that the…
Quantum mechanics and the cosmological constant
Lev V. Prokhorov
It is shown that in the model [3,4] of quantum mechanics besides probability amplitudes, the Planck constant and the Fock space, the cosmological constant also appear in the natura…
On quantization of systems with second class constraints
A. G. Nuramatov, L. V. Prokhorov
It is shown that quantization of the dynamical systems with second class constraints actually can be reduced to quantization of the systems with first class constraints. The motion…
On Dynamics of Strings and Branes
A. V. Golovnev, L. V. Prokhorov
We study Nambu-Goto strings and branes. It is shown that they can be considered as continuous limits of ordered discrete sets of relativistic particles for which the tangential vel…
On superselection rules for macroscopic objects
Lev Prokhorov
It is shown that for "ideal" macroscopic objects there are superselection rules forbidding superpositions of macroscopically distinguishable states of the objects. For real macrosc…