1-D Schrödinger operators with local point interactions on a discrete set
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[1] H. Neidhardt,et al. On the unitary equivalence of absolutely continuous parts of self-adjoint extensions , 2009, 0907.0650.
[2] S. Hassi,et al. Boundary relations and their Weyl families , 2006 .
[3] V. Geyler,et al. SPECTRA OF SELF-ADJOINT EXTENSIONS AND APPLICATIONS TO SOLVABLE SCHRÖDINGER OPERATORS , 2006, math-ph/0611088.
[4] M. Sokolov. Representation Results for Operators Generated by Quasi-Differential Multi-Interval System in a Hilbert Direct Sum Space , 2006 .
[5] S. Albeverio,et al. A Schrödinger operator with a δ′‐interaction on a Cantor set and Krein–Feller operators , 2006 .
[6] H. Holden,et al. Solvable Models in Quantum Mechanics: Second Edition , 2004 .
[7] M. Sokolov. ON SOME SPECTRAL PROPERTIES OF OPERATORS GENERATED BY QUASI-DIFFERENTIAL MULTI-INTERVAL SYSTEMS , 2003 .
[8] A. Shkalikov,et al. Sturm-Liouville operators with distributional potentials , 2003, math/0301077.
[9] A. G. Kostyuchenko,et al. Complete Indefiniteness Tests for Jacobi Matrices with Matrix Entries , 2001 .
[10] R. Hryniv,et al. Schrödinger operators with singular Gordon potentials , 2001, math/0109130.
[11] Sergio Albeverio,et al. Singular perturbations of differential operators : solvable Schrödinger type operators , 2000 .
[12] A. Shkalikov,et al. Sturm-liouville operators with singular potentials , 1999 .
[13] G. Teschl. Jacobi Operators and Completely Integrable Nonlinear Lattices , 1999 .
[14] V. Koshmanenko. Singular Quadratic Forms in Perturbation Theory , 1999 .
[15] V. Mikhailets. The structure of the continuous spectrum of a one-dimensional Schrödinger operator with point interactions , 1996 .
[16] G. Stolz,et al. Spectral theory of one-dimensional Schrödinger operators with point interactions , 1994 .
[17] V. Mikhailets. Point interactions on the line , 1993 .
[18] W. N. Everitt,et al. Differential Operators Generated by a Countable Number of Quasi-Differential Expressions on the Real Line , 1992 .
[19] S. Molchanov,et al. Spectral theory of one-dimensional Schrödinger operators with strongly fluctuating potentials , 1991 .
[20] V. Gorbachuk,et al. Boundary Value Problems for Operator Differential Equations , 1990 .
[21] H. Holden,et al. Solvable models in quantum mechanics , 1990 .
[22] A. Kochubei. One-dimensional point interactions , 1989 .
[23] H. Holden,et al. A new class of solvable models in quantum mechanics describing point interactions on the line , 1987 .
[24] P. Seba. Some remarks on the δ′-interaction in one dimension , 1986 .
[25] F. Gesztesy,et al. An exactly solvable periodic Schrodinger operator , 1985 .
[26] R. S. Ismagilov. Spectrum of the Sturm-Liouville equation with an oscillating potential , 1985 .
[27] J. Brasche. Perturbation of Schrödinger Hamiltonians by measures—Self‐adjointness and lower semiboundedness , 1985 .
[28] A. Grossmann,et al. A class of explicitly soluble, local, many‐center Hamiltonians for one‐particle quantum mechanics in two and three dimensions. I , 1980 .
[29] A. Grossmann,et al. The one particle theory of periodic point interactions , 1980 .
[30] A. Kochubei. Symmetric operators and nonclassical spectral problems , 1979 .
[31] S. Lee. Operators generated by countably many differential operators , 1978 .
[32] G. Langer,et al. Defective subspaces and generalized resolvents of an Hermitian operator in the space Πϰ , 1971 .
[33] P. Phariseau. The energy spectrum of an amorphous substance , 1960 .
[34] W. Penney,et al. Quantum Mechanics of Electrons in Crystal Lattices , 1931 .
[35] S. Hassi,et al. Oper. Theory Adv. Appl. , 2006 .
[36] L. Nizhnik. A Schrödinger Operator with $$\delta \prime $$ -Interaction , 2003 .
[37] R. Szwarc. Absolute Continuity of Spectral Measure for Certain Unbounded Jacobi Matrices , 2002 .
[38] S. Naboko,et al. Multithreshold Spectral Phase Transitions for a Class of Jacobi Matrices , 2001 .
[39] A. G. Kostyuchenko,et al. Generalized Jacobi matrices and deficiency numbers of ordinary differential operators with polynomial coefficients , 1999 .
[40] V. Derkach,et al. The extension theory of Hermitian operators and the moment problem , 1995 .
[41] J. Weidmann,et al. One-dimensional Schrödinger operators with local point interactions. , 1995 .
[42] V. Mikhailets. A discreteness criterion for the spectrum of a one-dimensional Schrödinger operator withδ-interactions , 1994 .
[43] V. Derkach,et al. Generalized resolvents and the boundary value problems for Hermitian operators with gaps , 1991 .
[44] Nariyuki Minami. Schrödinger operator with potential which is the derivative of a temporally homogeneous Lévy process , 1988 .
[45] A. Dijksma,et al. SYMMETRIC AND SELFADJOINT RELATIONS IN KREIN SPACES .2. , 1987 .
[46] F. Gesztesy,et al. One-dimensional Schrödinger operators with interactions singular on a discrete set. , 1985 .
[47] I. S. Kats. SPECTRAL FUNCTIONS OF A STRING , 1983 .
[48] M. Kreĭn,et al. Defect subspaces and generalized resolvents of an Hermitian operator in the space Πϰ , 1971 .
[49] R. Bolstein,et al. Expansions in eigenfunctions of selfadjoint operators , 1968 .
[50] Tosio Kato. Perturbation theory for linear operators , 1966 .
[51] T. Chihara. CHAIN SEQUENCES AND ORTHOGONAL POLYNOMIALS , 1962 .
[52] I. M. Glazman,et al. Theory of linear operators in Hilbert space , 1961 .
[53] L. Sirovich,et al. Partial Differential Equations , 1941 .
[54] A. Kostenko,et al. Institute for Mathematical Physics 1–d Schrödinger Operators with Local Interactions on a Discrete Set 1–d Schrödinger Operators with Local Interactions on a Discrete Set , 2022 .