Anharmonic oscillators with infinitely many real eigenvalues and -symmetry.
Shin, Kwang C. (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Displaying similar documents to “ symmetric Schrödinger operators: reality of the perturbed eigenvalues.”
Anharmonic oscillators with infinitely many real eigenvalues and -symmetry.
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Ruijsenaars, Simon N.M. (2009)
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Andrianov, Alexander A., Sokolov, Andrey V. (2009)
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Ergun, Ebru (2009)
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De Groen, Pieter, Karadzhov, Georgi (2002)
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Mathematical analysis of a generalized chiral quark soliton model.
Arai, Asao (2006)
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The optimization of eigenvalue problems involving the -Laplacian.
Pielichowski, Wacław (2004)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Eigenvalues of a Linear Transformation
Karol Pąk (2008)
Formalized Mathematics
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The article presents well known facts about eigenvalues of linear transformation of a vector space (see [13]). I formalize main dependencies between eigenvalues and the diagram of the matrix of a linear transformation over a finite-dimensional vector space. Finally, I formalize the subspace [...] called a generalized eigenspace for the eigenvalue λ and show its basic properties.MML identifier: VECTSP11, version: 7.9.03 4.108.1028
Antieigenvectors of the generalized problem and an operator inequality complementary to Schwarz's inequality.
Paul, Kallol (2008)
Novi Sad Journal of Mathematics
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Spectral properties of non-local uniformly-elliptic operators.
Davidson, Fordyce A., Dodds, Niall (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Asymptotic Property of Eigenvalues and Eigenfunctions of the Laplace Operator in Domain with a Perturbed Boundary
Khelifi, Abdessatar (2005)
Fractional Calculus and Applied Analysis
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2000 Mathematics Subject Classification: 35J05, 35C15, 44P05 In this paper, we consider the variations of eigenvalues and eigenfunctions for the Laplace operator with homogeneous Dirichlet boundary conditions under deformation of the underlying domain of definition. We derive recursive formulas for the Taylor coefficients of the eigenvalues as functions of the shape-perturbation parameter and we establish the existence of a set of eigenfunctions that is jointly holomorphic...