300 citations · 765 across the 20 of their papers we have counts for
20 papers
On the Equivalence Between the Schrodinger Equation in Quantum Mechanics and the Euler-Bernoulli Equation in Elasticity Theory
Igor Volovich
In this note, we show that the Schrodinger equation in quantum mechanics is mathematically equivalent to the Euler-Bernoulli equation for vibrating beams and plates in elasticity t…
Holographic control of information and dynamical topology change for composite open quantum systems
Irina Aref'eva, Oleg Inozemcev, Igor Volovich
We investigate how the compositeness of a quantum system influences the characteristic time of equilibration. We study the dynamics of open composite quantum systems strongly coupl…
Fermionic Meixner probability distributions, Lie algebras and quadratic Hamiltonians
L. Accardi, I. Ya. Aref'eva, I. V. Volovich
We introduce the quadratic Fermi algebra, which is a Lie algebra, and show that the vacuum distributions of the associated Hamiltonians define the fermionic Meixner probability dis…
Rolling in the Higgs Model and Elliptic Functions
I. Ya. Arefeva, E. V. Piskovskiy, I. V. Volovich
Asymptotic methods in nonlinear dynamics are used to improve perturbation theory results in the oscillations regime. However, for some problems of nonlinear dynamics, particularly…
p-Adic Mathematical Physics
B. Dragovich, A. Yu. Khrennikov, S. V. Kozyrev +1
A brief review of some selected topics in p-adic mathematical physics is presented.
Quantization of the Riemann Zeta-Function and Cosmology
I. Ya. Aref'eva, I. V. Volovich
Quantization of the Riemann zeta-function is proposed. We treat the Riemann zeta-function as a symbol of a pseudodifferential operator and study the corresponding classical and qua…