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-interaction on an open arc (1) 1
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Journal of Functional Analysis, ISSN 0022-1236, 2011, Volume 261, Issue 7, pp. 2053 - 2081
Let H 0 and H be self-adjoint operators in a Hilbert space. We consider the spectral projections of H 0 and H corresponding to a semi-infinite interval of the... 
Birman–Schwinger principle | Spectral projections | Essential spectrum | Scattering matrix | Birman-Schwinger principle | FLOW | SIGMA(H) | MATHEMATICS | H-LAMBDA-W | OPERATOR | BOUNDS | EIGENVALUE BRANCHES | GAP | SHIFT FUNCTION
Journal Article
Letters in Mathematical Physics, ISSN 0377-9017, 2019, Volume 109, Issue 7, pp. 1473 - 1485
We prove the absence of eigenvalues of the three-dimensional Dirac operator with non-Hermitian potentials in unbounded regions of the complex plane under... 
Absence of eigenvalues | Pseudo-Friedrichs extension | Birman–Schwinger principle | Dirac operator | Complex potential | Non-self-adjoint perturbation | Birman-Schwinger principle | PHYSICS, MATHEMATICAL
Journal Article
Letters in Mathematical Physics, ISSN 0377-9017, 7/2018, Volume 108, Issue 7, pp. 1757 - 1778
Journal Article
Applicable Analysis, ISSN 0003-6811, 06/2019, Volume 98, Issue 8, pp. 1451 - 1460
Journal Article
Theoretical and Mathematical Physics, ISSN 0040-5779, 2/2016, Volume 186, Issue 2, pp. 231 - 250
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2010, Volume 371, Issue 1, pp. 282 - 299
Journal Article
Asymptotic Analysis, ISSN 0921-7134, 02/2016, Volume 96, Issue 3-4, pp. 251 - 281
We consider the Laplacian in a tubular neighbourhood of a hyperplane subjected to non-self-adjoint PT-symmetric Robin boundary conditions. Its spectrum is... 
essential spectrum | reality of the spectrum | weak coupling | spectral analysis | Birman-Schwinger principle | non-self-adjointness | Robin boundary conditions | waveguide | MATHEMATICS, APPLIED | HILBERT-SPACE | SCHRODINGER-OPERATORS
Journal Article
Journal of Spectral Theory, ISSN 1664-039X, 2018, Volume 8, Issue 2, pp. 575 - 604
Journal Article
Letters in Mathematical Physics, ISSN 0377-9017, 6/2008, Volume 84, Issue 2, pp. 99 - 107
We prove that the critical temperature for the BCS gap equation is given by $${T_c = \mu \left( \frac 8\pi {\rm e}^{\gamma -2} + o(1) \right) {\rm... 
Geometry | 46N50 | Mathematical and Computational Physics | Birman–Schwinger principle | 82D50 | Group Theory and Generalizations | BCS equation | 81Q10 | superfluidity | Physics | Statistical Physics | scattering length | Scattering length | Birman-Schwinger principle | Superfluidity | WEAK | SUPERCONDUCTIVITY | GAS | STATE | PHYSICS, MATHEMATICAL | Football (College)
Journal Article
Journal of Spectral Theory, ISSN 1664-039X, 2017, Volume 70, Issue 3, pp. 659 - 697
We study spectral properties of the Schrodinger operator with an imaginary sign potential on the real line. By constructing the resolvent kernel, we show that... 
Non-self-adjointness | Birman-Schwinger principle | Discontinuous potential | Pseudospectra | Weak coupling | Schrödinger operators | MATHEMATICS | MATHEMATICS, APPLIED | BOUND-STATES | weak coupling | Schrodinger operators | non-self-adjointness | discontinuous potential
Journal Article
Integral Equations and Operator Theory, ISSN 0378-620X, 5/2015, Volume 82, Issue 1, pp. 61 - 94
We study several natural multiplicity questions that arise in the context of the Birman–Schwinger principle applied to non-self-adjoint operators. In... 
Secondary 47B10 | Factorization of operator-valued analytic functions | 47G10 | Analysis | Primary 47A10 | multiplicity of eigenvalues | Mathematics | 47A75 | 47A53 | index computations for finitely meromorphic operator-valued functions | MATHEMATICS | BOUND-STATES | SPECTRUM | PROJECTIONS | RESONANCES | FREDHOLM DETERMINANTS | BIRMAN-SCHWINGER PRINCIPLE
Journal Article
Integral Equations and Operator Theory, ISSN 0378-620X, 12/2019, Volume 91, Issue 6, pp. 1 - 15
We study location of eigenvalues of one-dimensional discrete Schrödinger operators with complex $$\ell ^{p}$$ ℓp -potentials for $$1\le p\le \infty $$ 1≤p≤∞ .... 
47B36 | Analysis | Birman–Schwinger principle | Point spectrum | 34L15 | Mathematics | 47A75 | Discrete Schrödinger operator | Jacobi matrix | LOCATION | MATHEMATICS | Discrete Schrodinger operator | Birman-Schwinger principle | EIGENVALUE BOUNDS | DIRAC
Journal Article
Reviews in Mathematical Physics, ISSN 0129-055X, 08/2014, Volume 26, Issue 7, p. 1450012
We study translation-invariant quasi-free states for a system of fermions with two-particle interactions. The associated energy functional is similar to the... 
critical temperature | BCS functional | Birman-Schwinger principle | quasi-free states | Superconductivity | WEAK | MODEL | FOCK-BOGOLIUBOV THEORY | CRITICAL-TEMPERATURE | PHYSICS, MATHEMATICAL | Football (College)
Journal Article
Journal Article
Proceedings of the American Mathematical Society, ISSN 0002-9939, 2018, Volume 146, Issue 9, pp. 3935 - 3942
Journal Article
Mathematical Modelling of Natural Phenomena, ISSN 0973-5348, 01/2010, Volume 5, Issue 4, pp. 448 - 469
We prove the instability of threshold resonances and eigenvalues of the linearized NLS operator. We compute the asymptotic approximations of the eigenvalues... 
NLS equation | Birman-Schwinger principle | spectral stability | Feshbach map | EXISTENCE | MATHEMATICS, APPLIED | SCALAR FIELD-EQUATIONS | BIFURCATIONS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | SOLITARY WAVES | MATHEMATICAL & COMPUTATIONAL BIOLOGY | ASYMPTOTIC STABILITY | SPECTRA | GROUND-STATES
Journal Article
Proceedings of the American Mathematical Society, ISSN 0002-9939, 09/2018, Volume 146, Issue 9, pp. 3935 - 3942
The spectrum of the singular indefinite Sturm-Liouville operator \displaystyle A=\operatorname {sgn}(\cdot )\bigl (-\tfrac... 
MATHEMATICS | MATHEMATICS, APPLIED | indefinite Sturm-Liouville operator | NON-REAL EIGENVALUES | Krein space | Birman-Schwinger principle | ORDINARY DIFFERENTIAL-OPERATORS | Non-real eigenvalue
Journal Article
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