|
Quantum field theory and gravity (group-theoretical and geometric methods).
Quantum theory of measurement and quantum informatics. Quantum optics and
quantum informational devices. Conceptual problems of quant mechanics
The main results:
Group-theoretical quantization: an approach that allows one to derive quantum
properties of elementary particles from the space-time symmetry, without postulating
commutation relations. Concept of the Path Group (PG) and its applications in theory
of gauge and gravitaty. Non-Abelian Stokes theorem and topological gauge fields
in terms of PG. Derivation of Feynman path integral (including exponential of the
action) from PG. Formulation of the quantum equivalence principle from symmetry
presented with PG. Formulation and proof of the covariant conservation law for
energy-momentum in gravity in terms of PG (or non-holonomic reference frames).
Universal (based on PG) formulation of gravitational thermal effects (of the type
of Unruh and Hawking effects). Quantum theory of continuous measurements making
use of Restricted Path Integrals (RPI). "Action Uncertainty Principle" for
quantum continuous measurements. Derivation of absolute quantum restrictions on
measurability of the electromagnetic field. Phenomenological (based on RPI) theory
of open quantum systems presenting such a system as being continuously measured
(by its environment, or thermostat), but without any explicit model of the
environment. Analysis of the dynamics of an open system from the point of view
of the information about this system which is "recorded" in its environment.
Informational approach to the phenomena of decoherence and dissipation of quantum
systems. Derivation of decoherence induced with the topology, for particles moving
in a "time machine" (a space-time with closed time-like curves). Investigation
of quantum Zeno effect on the basis of the phenomenological RPI approach.
Description of spontaneous decay as a sort of passive continuous measurement
of an atom. Analysis of conceptual problems in quantum mechanics and their
connection with the phenomenon of consciousness
The current interests:
quantum theory of continuous measurements, decoherence and dissipation of
quantum (non-relativistic and relativistic) systems; quantum field theory and
gravity the approach based upon the Path Group and non-holonomic reference
frames
List of selected publications (see also here):
1. M.B.Mensky, Induced Representations Method: Space-Time and Concept of Particles,
Nauka, Moscow, 1976
[in Russian, second edition in Russian: Editorial URSS, Moscow, 2003].
2. M.B.Mensky, Path Group: Measurements, Fields, Particles,
Nauka, Moscow, 1983
[in Russian; Japanese extended translation: Yoshioka, Kyoto, 1988;
second edition in Russian: Editorial URSS, Moscow, 2003].
3. M.B.Mensky, Continuous Quantum Measurements and Path Integrals,
IOP Publishing, Bristol and Philadelphia, 1993
[in English; Japanese extended translation: Yoshioka, Kyoto, 1995].
4. M.B.Mensky, Quantum Measurements and Decoherence. Models and Phenomenology,
Kluwer Academic Publishers, Dordrecht/Boston/London, 2000.
[in English; Russian translation: Fizmatlit, Moscow, 2001].
5. M.B.Mensky, Human and quantum world (Weirdness of the quantum world and the miracle of consciousness),
Editorial "Vek 2", Fryazino, 2005. [in Russian]
|
