## Found 11 Documents (Results 1–11)

100
MathJax

MSC:  81Q35
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### Number of eigenvalues and their location of the two particle Hamiltonians on lattices. (English)Zbl 07382338

MSC:  58C40 81Q10
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### Threshold phenomena in the spectrum of the two-particle Schrödinger operator on a lattice. (English. Russian original)Zbl 1419.81012

Theor. Math. Phys. 198, No. 3, 363-375 (2019); translation from Teor. Mat. Fiz. 198, No. 3, 418-432 (2019).
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### On compact perturbation of two-particle Schrödinger operator on a lattice. (English. Russian original)Zbl 1320.81054

Russ. Math. 59, No. 6, 18-22 (2015); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2015, No. 6, 24-30 (2015).
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### Existence and analyticity of bound states of a two-particle Schrödinger operator on a lattice. (English. Russian original)Zbl 1274.81084

Theor. Math. Phys. 170, No. 3, 326-340 (2012); translation from Teor. Mat. Fiz. 170, No. 3, 393-408 (2012).
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### The number of eigenvalues of the two-particle discrete Schrödinger operator. (English. Russian original)Zbl 1174.81004

Theor. Math. Phys. 158, No. 2, 221-232 (2009); translation from Teor. Mat. Fiz. 158, No. 2, 263-276 (2009).
MSC:  81Q10
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### Finiteness of the discrete spectrum of the Schrödinger operator of three particles on a lattice. (English. Russian original)Zbl 1150.81005

Theor. Math. Phys. 154, No. 2, 311-318 (2008); translation from Teor. Mat. Fiz. 154, No. 2, 363-371 (2008).
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### Spectrum of the two-particle Schrödinger operator on a lattice. (English. Russian original)Zbl 1146.81027

Theor. Math. Phys. 155, No. 2, 754-765 (2008); translation from Teor. Mat. Fiz. 155, No. 2, 287-300 (2008).
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### Merging of eigenvalues and resonances of a two-particle Schrödinger operator. (English. Russian original)Zbl 0875.35089

Theor. Math. Phys. 101, No. 2, 1320-1331 (1994); translation from Teor. Mat. Fiz. 101, No. 2, 235-252 (1994).
MSC:  35Q40 81Q10 81U05
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### On the finiteness of the discrete spectrum of the Schrödinger operator for a three-particle system with unstable two-particle subsystems in a homogeneous magnetic field. (English. Russian original)Zbl 0836.47050

Funct. Anal. Appl. 27, No. 2, 144-145 (1993); translation from Funkts. Anal. Prilozh. 27, No. 2, 83-84 (1993).
Reviewer: H.Yamagata (Osaka)
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### On the spectral properties of the matrix-valued Friedrichs model. (English)Zbl 0761.47025

Many particle Hamiltonians: spectra and scattering, Adv. Sov. Math. 5, 1-37 (1991).
Reviewer: L.Rodino (Torino)
MSC:  47G10 47A40 47A55

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