On the essential spectrum of three-particle discrete Schrödinger operators with short-range potentials
DOI10.1134/S1995080221060196zbMath1467.81046OpenAlexW3179096870MaRDI QIDQ2039034
Publication date: 8 July 2021
Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1995080221060196
eigenvaluesessential spectrumdiscrete Schrödinger operatorshort-range pair potentialsthree body Hamiltonian
Three-body problems (70F07) General topics in linear spectral theory for PDEs (35P05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41)
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- On the spectral estimates for the Schrödinger operator on \(\mathbb Z^d\), \(d \geqslant 3\)
- Bargmann type estimates of the counting function for general Schrödinger operators
- A Hunziker-van Winter-Zhislin theorem for a four-particle lattice Schrödinger operator
- Finiteness of the discrete spectrum of the three-particle Schrödinger equation on a lattice
- On Efimov's effect in a system of three identical quantum particles
- Scattering theory: some old and new problems
- The spectrum of the three-particle difference Schrödinger operator on a lattice
- Spectral properties of the three-particle difference Schrödinger operator
- Spectral and threshold analysis of a small rank perturbation of the discrete Laplacian
- Threshold analysis of the three dimensional lattice Schrödinger operator with non-local potential
- Zur Spektraltheorie der Schrödinger-Operatoren
- On spectral estimates for the Schrödinger operators in global dimension 2
- Existence of bound states of N-body problem in an optical lattice
- On the structure of the essential spectrum for the three-particle Schrödinger operators on lattices
- The structure of compact groups. A primer for the student -- a handbook for the expert
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