Zobrazeno 1 - 10
of 70
pro vyhledávání: '"Saidakhmat N. Lakaev"'
Publikováno v:
Theoretical and Mathematical Physics. 203:648-663
For a wide class of two-particle Schrodinger operators H(k) = H0(k) + V, k ∈ $$\mathbb{T}^d$$, corresponding to a two-fermion system on a d-dimensional cubic integer lattice (d ≥ 1), we prove that for any value k ∈ $$\mathbb{T}^d$$ of the quasi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::24f0dc5e31748c34a512a7d946ef99f7
https://doi.org/10.1134/s0040577920050074
https://doi.org/10.1134/s0040577920050074
Publikováno v:
Teoreticheskaya i Matematicheskaya Fizika. 203:251-268
Для широкого класса двухчастичных операторов Шредингера ${H(k)=H_0(k)+V}$, $k\in\mathbb T^d$, соответствующего системе двух фермионов на $d$-мерной, $d\ge 1
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c7ebcf08bb53fec1edcedd63b572bb05
https://doi.org/10.4213/tmf9738
https://doi.org/10.4213/tmf9738
Publikováno v:
Complex Analysis and Operator Theory. 15
We study analytic behavior of eigenvalues of the generalized Friedrichs model $$H_\mu (p)$$ , with a rank-one perturbation, depending on parameters $$\mu >0$$ and $$p\in {\mathbb {T}}^2$$ . Under certain conditions, the existence of a unique eigenval
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7720720b89be82b34d125bc81fe95885
https://doi.org/10.1007/s11785-021-01157-9
https://doi.org/10.1007/s11785-021-01157-9
Publikováno v:
Journal of Mathematical Analysis and Applications. 514:126363
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fe1287452c9b4eb6f87d2c882042bf16
https://doi.org/10.1016/j.jmaa.2022.126363
https://doi.org/10.1016/j.jmaa.2022.126363
Autor:
A. T. Boltaev, Saidakhmat N. Lakaev
Publikováno v:
Theoretical and Mathematical Physics. 198:363-375
For a broad class of short-range pairwise attraction potentials, we study threshold phenomena in the spectrum of the two-particle Schrodinger operator associated with the energy operator of the s–d exchange model. We prove that the bound state (eig
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dfacff195724218b36c3edab112c57df
https://doi.org/10.1134/s0040577919030036
https://doi.org/10.1134/s0040577919030036
Publikováno v:
Ufimskii Matematicheskii Zhurnal. 11:140-150
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::459c3f9100ca49d69eae9ef84b6f52f4
https://doi.org/10.13108/2019-11-4-140
https://doi.org/10.13108/2019-11-4-140
Publikováno v:
Teoreticheskaya i Matematicheskaya Fizika. 198:418-432
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d9ad19127c038ccc0f434e28c2c16819
https://doi.org/10.4213/tmf9582
https://doi.org/10.4213/tmf9582
We study the discrete spectrum of the two-particle Schr\"odinger operator $\hat H_{\mu\lambda}(K),$ $K\in\mathbb{T}^2,$ associated to the Bose-Hubbard Hamiltonian $\hat {\mathbb H}_{\mu\lambda}$ of a system of two identical bosons interacting on site
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::53bc0578e99c8c89b4bf46e286d305d1
Publikováno v:
Journal of Mathematical Analysis and Applications. 503:125280
We study the spectral properties of the Schrodinger-type operator H ˆ μ : = H ˆ 0 + μ V ˆ , μ ≥ 0 , associated to a one-particle system in d-dimensional lattice Z d , d = 1 , 2 , where the non-perturbed operator H ˆ 0 is a self-adjoint convo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::54bd8c8bcb4a296170c4abc792b13896
https://doi.org/10.1016/j.jmaa.2021.125280
https://doi.org/10.1016/j.jmaa.2021.125280
Publikováno v:
Teoreticheskaya i Matematicheskaya Fizika. 188:36-48
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b67db72c9723588b4c5ec9c672a1b3dc
https://doi.org/10.4213/tmf9058
https://doi.org/10.4213/tmf9058