Results 31 to 40 of about 38,188 (251)

EXTENSION OF TENSOR PRODUCT FOR OPERATORS ON THE DIRAC OPERATOR EXAMPLE [PDF]

Научно-технический вестник информационных технологий, механики и оптики, 2014
The paper deals with extension method for the operator which is a sum of tensor products. Boundary triplets approach is used. One of the operators is considered to be densely defined and symmetric with equal deficiency indices, the other one is ...
A. A. Boitsev, H. Neidhardt, I. Y. Popov
doaj  

Spectra of self-adjoint extensions and applications to solvable Schroedinger operators

, 2007
We give a self-contained presentation of the theory of self-adjoint extensions using the technique of boundary triples. A description of the spectra of self-adjoint extensions in terms of the corresponding Krein maps (Weyl functions) is given ...
Adamyan V., Akhiezer N. I., Akhiezer N. I., Albeverio S., Aleksandryan R. A., Baz' A. I., Berezin F. A., Brüning J., Dell'Antonio G., Derkach V. A., Dunford N., Everitt W. N., Geyler V. A., Geyler V. A., Gitman D., Hille E., Horn R. A., Huang K., Jackiw R., JOCHEN BRÜNING, Kadowaki M., Kafiev Yu. N., Kato T., KONSTANTIN PANKRASHKIN, Kurasov P., Mikhailets V. A., Naboko S. N., Novikov S. P., Posilicano A., Reed M., Rofe-Beketov F. S., VLADIMIR GEYLER   +31 more
core   +1 more source

Self-adjoint extensions of phase and time operators [PDF]

Physical Review A, 2004
It is shown that any real and even function of the phase (time) operator has a self-adjoint extension and its relation to the general phase operator problem is analyzed.
Gour, G., Khanna, F. C., Revzen, M.
openaire   +2 more sources

A model of a quantum waveguide multiplexer

Physics of Complex Systems, 2020
The paper explores the system of quantum waveguides and resonators. It suggests a solvable model of zero-width coupling windows based on the operator extensions theory in the Pontryagin space with indefinite metrics.
Игорь Юрьевич Попов, Алексей Михайлович Воробьев, Татьяна Сергеевна Юрова   +2 more
doaj   +1 more source

Scattering theory for a class of non-selfadjoint extensions of symmetric operators

, 2020
This work deals with the functional model for a class of extensions of symmetric operators and its applications to the theory of wave scattering. In terms of Boris Pavlov's spectral form of this model, we find explicit formulae for the action of the ...
Cherednichenko, Kirill D., Kiselev, Alexander V., Silva, Luis O.   +2 more
core   +1 more source

CURRENT-VOLTAGE CHARACTERISTICS FOR TWO SYSTEMS OF QUANTUM WAVEGUIDES WITH CONNECTED QUANTUM RESONATORS [PDF]

Научно-технический вестник информационных технологий, механики и оптики, 2016
We investigate two 2D quantum systems, each consisting of a waveguide and a resonator, connected through narrow holes. Systems features are studied by the solution of scattering problem.
A. S. Bagmutov, I. Y. Popov
doaj   +1 more source

The Two-Spectra Inverse Problem for Semi-Infinite Jacobi Matrices in The Limit-Circle Case

, 2008
We present a technique for reconstructing a semi-infinite Jacobi operator in the limit circle case from the spectra of two different self-adjoint extensions.
B. Simon, B. Simon, B.M. Brown, B.M. Levitan, D. Chelkak, F. Gesztesy, F. Gesztesy, F. Gesztesy, G. Borg, G. Teschl, G. Teschl, G.Š. Guseĭnov, J.M. Berezans′kiĭ, L. Fu, L.O. Silva, L.V. Ahlfors, Luis O. Silva, M. Kreĭn, M.G. Gasymov, M.G. Gasymov, M.G. Kreĭn, M.G. Kreĭn, M.G. Kreĭn, M.L. Gorbachuk, N.I. Akhiezer, N.I. Akhiezer, R. Weikard, R.Z. Halilova, Ricardo Weder, S. Albeverio, T. Aktosun, T. Aktosun, V.A. Marčenko, W.F. Donoghue Jr.   +33 more
core   +1 more source

Self-adjoint extensions of operators and the teaching of quantum mechanics [PDF]

, 2001
For the example of the infinitely deep well potential, we point out some paradoxes which are solved by a careful analysis of what is a truly self-adjoint operator.
Bonneau, Guy, Faraut, Jacques, Valent, Galliano   +2 more
core   +2 more sources

Multi-interval Sturm–Liouville boundary-value problems with distributional potentials

Доповiдi Нацiональної академiї наук України
We study the multi-interval boundary-value Sturm–Liouville problems with distributional potentials. For the corresponding symmetric operators boundary triplets are found and the constructive descriptions of all self-adjoint, maximal dissipative and ...
A. S. Goriunov
doaj   +1 more source

Essential Self-Adjointness of Anticommutative Operators

Journal of Mathematics, 2014
The self-adjoint extensions of symmetric operators satisfying anticommutation relations are considered. It is proven that an anticommutative type of the Glimm-Jaffe-Nelson commutator theorem follows.
Toshimitsu Takaesu
doaj   +1 more source