Cover Image

Spectrum and states of the BCS Hamiltonian with sources

We consider the BCS Hamiltonian with sources, as proposed by Bogolyubov and Bogolyubov, Jr. We prove that the eigenvectors and eigenvalues of the BCS Hamiltonian with sources can be exactly determined in the thermodynamic limit. Earlier, Bogolyubov proved that the energies per volume of the BCS Hami...

Full description

Saved in:

Bibliographic Details
Date:	2008
Main Authors:	Petrina, D. Ya., Петрина, Д. Я.
Format:	Article
Language:	English
Published:	Institute of Mathematics, NAS of Ukraine 2008
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3240
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

Spectrum and states of the BCS Hamiltonian with sources
by: Petrina, D.Ya.
Published: (2008)

Spectrum and States of the BCS Hamiltonian in a Finite Domain. III. BCS Hamiltonian with Mean-Field Interaction
by: Petrina, D. Ya., et al.
Published: (2002)

Spectrum and states of the bcs hamiltonian in a finite domain. I. Spectrum
by: Petrina, D. Ya., et al.
Published: (2000)

Spectrum and States of the BCS Hamiltonian in a Finite Domain. II. Spectra of Excitations
by: Petrina, D. Ya., et al.
Published: (2001)

New second branch of the spectrum of the BCS Hamiltonian and a “pseudogap”
by: Petrina, D. Ya., et al.
Published: (2005)

Spectrum and States of the BCS Hamiltonian in a Finite Domain. III. BCS Hamiltonian with Mean-Field Interaction
by: Petrina, D.Ya.
Published: (2002)

Spectrum and states of the BCS Hamiltonian in a finite domain. I. Spectrum
by: Petrina, D.Ya.
Published: (2000)

Spectrum and States of the BCS Hamiltonian in a Finite Domain. II. Spectra of Excitations
by: Petrina, D.Ya.
Published: (2001)

New second branch of the spectrum of the BCS Hamiltonian and a “pseudogap”
by: Petrina, D.Ya.
Published: (2005)

Model BCS Hamiltonian and Approximating Hamiltonian in the Case of Infinite Volume. IV. Two Branches of Their Common Spectra and States
by: Petrina, D. Ya., et al.
Published: (2003)

BCS Model Hamiltonian of the Theory of Superconductivity as a Quadratic Form
by: Petrina, D. Ya., et al.
Published: (2004)

Model BCS Hamiltonian and Approximating Hamiltonian in the Case of Infinite Volume. IV. Two Branches of Their Common Spectra and States
by: Petrina, D.Ya.
Published: (2003)

BCS Model Hamiltonian of the Theory of Superconductivity as a Quadratic Form
by: Petrina, D.Ya.
Published: (2004)

Equilibrium and Nonequilibrium States of the Model Fröhlich–Peierls Hamiltonian
by: Petrina, D. Ya., et al.
Published: (2003)

Stochastic dynamics as a limit of Hamiltonian dynamics of hard spheres
by: Lampis, M., et al.
Published: (1999)

Equilibrium and Nonequilibrium States of the Model Fröhlich–Peierls Hamiltonian
by: Petrina, D.Ya.
Published: (2003)

Hamiltonian and excitation spectrum of harmonically trapped bosons
by: A. Rovenchak
Published: (2016)

States of Infinite Equilibrium Classical Systems
by: Petrina, D. Ya., et al.
Published: (2003)

Stochastic dynamics as a limit of Hamiltonian dynamics of hard spheres
by: Lampis, M., et al.
Published: (1999)

Effective Hamiltonian and excitation spectrum of harmonically trapped bosons
by: Rovenchak, A.
Published: (2016)

Existence of equilibrium states of systems of hard spheres in the Boltzmann-Enskog limit within the frame work of the grand canonical ensemble
by: Petrina, E. D., et al.
Published: (1997)

On the Essential Spectrum of Many-Particle Pseudorelativistic Hamiltonians with Permutational Symmetry Account
by: Zhislin, G.
Published: (2006)

Stochastic dynamics and Boltzmann hierarchy. III
by: Petrina, D. Ya., et al.
Published: (1998)

Stochastic dynamics and Boltzmann hierarchy. II
by: Petrina, D. Ya., et al.
Published: (1998)

Stochastic dynamics and Boltzmann hierarchy. I
by: Petrina, D. Ya., et al.
Published: (1998)

Resolutions of Identity for Some Non-Hermitian Hamiltonians. I. Exceptional Point in Continuous Spectrum
by: Andrianov, A.A., et al.
Published: (2011)

Methods for derivation of the stochastic Boltzmann hierarchy
by: Petrina, D. Ya., et al.
Published: (2000)

Boltzmann-Enskog limit for equilibrium states of systems of hard spheres in the framework of a canonical ensemble
by: Lampis, M., et al.
Published: (1997)

Correlation functions in BCS-BEC transition region of nuclear matter
by: Isayev, A.A.
Published: (2007)

Hamiltonian geometric connection associated with adiabatically perturbed Hamiltonian systems and the existence of adiabatic invariants
by: Prykarpatsky, Ya. A., et al.
Published: (2008)

Evolution of the dynamics of neutral superconductors between BCS and BEC regimes: the variational approach
by: A. V. Chubukov, et al.
Published: (2018)

Evolution of the dynamics of neutral superconductors between BCS and BEC regimes: the variational approach
by: Chubukov, A.V., et al.
Published: (2018)

BCS-BEC crossover and nodal points contribution in p-wave resonance superfluids
by: Kagan, M.Yu., et al.
Published: (2009)

Can high-Tc superconductivity in cuprates be explained by the conventional BCS theory?
by: I. Boћović, et al.
Published: (2018)

Can high-Tc superconductivity in cuprates be explained by the conventional BCS theory?
by: Božović, I., et al.
Published: (2018)

On square-Hamiltonian graphs
by: Protasova, K. D.
Published: (2018)

On square-Hamiltonian graphs
by: Protasova, K.D.
Published: (2005)

Supersymmetric Extension of Non-Hermitian su(2) Hamiltonian and Supercoherent States
by: Cherbal, O., et al.
Published: (2010)

On the spectrum of moderated neutrons emitted by the isotropic source in the gas fuel
by: V. A. Tarasov, et al.
Published: (2016)

Ground-State Analysis for an Exactly Solvable Coupled-Spin Hamiltonian
by: Mattei, E., et al.
Published: (2013)