Pereskokov, A. V. Semiclassical asymptotic spectrum of the two-dimensional Hartree operator near a local maximum of the eigenvalues in a spectral cluster. (English. Russian original) Zbl 1458.81022 Theor. Math. Phys. 205, No. 3, 1652-1665 (2020); translation from Teor. Mat. Fiz. 205, No. 3, 467-483 (2020). MSC: 81Q10 81Q15 35Q55 81Q20 35P20 35C20 PDFBibTeX XMLCite \textit{A. V. Pereskokov}, Theor. Math. Phys. 205, No. 3, 1652--1665 (2020; Zbl 1458.81022); translation from Teor. Mat. Fiz. 205, No. 3, 467--483 (2020) Full Text: DOI
Vakhrameeva, D. A.; Pereskokov, A. V. Asymptotics of the spectrum of a two-dimensional Hartree-type operator with a Coulomb self-action potential near the lower boundaries of spectral clusters. (English. Russian original) Zbl 1427.81037 Theor. Math. Phys. 199, No. 3, 864-877 (2019); translation from Teor. Mat. Fiz. 199, No. 3, 445-459 (2019). MSC: 81Q05 81V22 35Q55 35P20 35B40 92D20 81V55 PDFBibTeX XMLCite \textit{D. A. Vakhrameeva} and \textit{A. V. Pereskokov}, Theor. Math. Phys. 199, No. 3, 864--877 (2019; Zbl 1427.81037); translation from Teor. Mat. Fiz. 199, No. 3, 445--459 (2019) Full Text: DOI
Useinov, N. Kh. Semiclassical Green’s functions of magnetic point contacts. (English. Russian original) Zbl 1342.78021 Theor. Math. Phys. 183, No. 2, 705-714 (2015); translation from Teor. Mat. Fiz. 183, No. 2, 301-311 (2015). Reviewer: Aleksander Pankov (Baltimore) MSC: 78A35 78A57 35P20 35J08 PDFBibTeX XMLCite \textit{N. Kh. Useinov}, Theor. Math. Phys. 183, No. 2, 705--714 (2015; Zbl 1342.78021); translation from Teor. Mat. Fiz. 183, No. 2, 301--311 (2015) Full Text: DOI
Pereskokov, A. V. Asymptotics of the Hartree operator spectrum near the upper boundaries of spectral clusters: asymptotic solutions localized near a circle. (English. Russian original) Zbl 1327.81200 Theor. Math. Phys. 183, No. 1, 516-526 (2015); translation from Teor. Mat. Fiz. 183, No. 1, 78-89 (2015). MSC: 81Q10 78A60 35J10 35P20 PDFBibTeX XMLCite \textit{A. V. Pereskokov}, Theor. Math. Phys. 183, No. 1, 516--526 (2015; Zbl 1327.81200); translation from Teor. Mat. Fiz. 183, No. 1, 78--89 (2015) Full Text: DOI
Nazarov, S. A. Spectral properties of a thin layer with a doubly periodic family of thinning regions. (English. Russian original) Zbl 1287.35052 Theor. Math. Phys. 174, No. 3, 343-359 (2013); translation from Teor. Mat. Fiz. 174, No. 3, 398-415 (2013). MSC: 35P20 35J25 PDFBibTeX XMLCite \textit{S. A. Nazarov}, Theor. Math. Phys. 174, No. 3, 343--359 (2013; Zbl 1287.35052); translation from Teor. Mat. Fiz. 174, No. 3, 398--415 (2013) Full Text: DOI
Popov, I. Yu. Asymptotic series for the spectrum of the Schrödinger operator for layers coupled through small windows. (English. Russian original) Zbl 1038.81022 Theor. Math. Phys. 131, No. 3, 791-800 (2002); translation from Teor. Mat. Fiz. 131, No. 3, 407-418 (2002). MSC: 81Q10 35P20 PDFBibTeX XMLCite \textit{I. Yu. Popov}, Theor. Math. Phys. 131, No. 3, 791--800 (2002; Zbl 1038.81022); translation from Teor. Mat. Fiz. 131, No. 3, 407--418 (2002) Full Text: DOI
Zhislin, G. M. Spectral properties of Hamiltonians with a magnetic field under fixation of pseudomomentum. II. (English. Russian original) Zbl 1085.81504 Theor. Math. Phys. 118, No. 1, 12-31 (1999); translation from Teor. Mat. Fiz. 118, No. 1, 15-39 (1999). Reviewer: Mihai Pascu (Bucureşti) MSC: 81Q10 35P20 47N50 81V10 81V45 PDFBibTeX XMLCite \textit{G. M. Zhislin}, Theor. Math. Phys. 118, No. 1, 12--31 (1999; Zbl 1085.81504); translation from Teor. Mat. Fiz. 118, No. 1, 15--39 (1999) Full Text: DOI
Zhislin, G. M. Spectral properties of Hamiltonians with a magnetic field at a fixed pseudomomentum. III. (English. Russian original) Zbl 1086.81512 Theor. Math. Phys. 120, No. 2, 1058-1073 (1999); translation from Teor. Mat. Fiz. 120, No. 2, 291-308 (1999). Reviewer: Mihai Pascu (Bucureşti) MSC: 81Q10 35P20 47N50 PDFBibTeX XMLCite \textit{G. M. Zhislin}, Theor. Math. Phys. 120, No. 2, 1058--1073 (1999; Zbl 1086.81512); translation from Teor. Mat. Fiz. 120, No. 2, 291--308 (1999) Full Text: DOI
Kiselev, A. A.; Pavlov, B. S. Eigenfrequencies and eigenfunctions of the Laplacian for Neumann boundary conditions in a system of two coupled cavities. (English. Russian original) Zbl 0853.35084 Theor. Math. Phys. 100, No. 3, 1065-1074 (1994); translation from Teor. Mat. Fiz. 100, No. 3, 354-366 (1994). MSC: 35P20 35J05 47A10 PDFBibTeX XMLCite \textit{A. A. Kiselev} and \textit{B. S. Pavlov}, Theor. Math. Phys. 100, No. 3, 1065--1074 (1994; Zbl 0853.35084); translation from Teor. Mat. Fiz. 100, No. 3, 354--366 (1994) Full Text: DOI
Vugal’ter, S. A.; Zhislin, G. M. Localization of the essential spectrum of the energy operators of \(n\)- particle quantum systems in a magnetic field. (English. Russian original) Zbl 0801.35096 Theor. Math. Phys. 97, No. 1, 1171-1185 (1993); translation from Teor. Mat. Fiz. 97, No. 1, 94-112 (1993). MSC: 35P20 81Q10 81V70 PDFBibTeX XMLCite \textit{S. A. Vugal'ter} and \textit{G. M. Zhislin}, Theor. Math. Phys. 97, No. 1, 94--112 (1993; Zbl 0801.35096); translation from Teor. Mat. Fiz. 97, No. 1, 94--112 (1993) Full Text: DOI
Dobrokhotov, S. Yu.; Kolokol’tsov, V. N.; Maslov, V. P. Splitting of the lowest energy levels of the Schrödinger equation and asymptotic behavior of the fundamental solution of the equation \(hu_ t=h^ 2\Delta u/2-V(x)u\). (English. Russian original) Zbl 0745.35033 Theor. Math. Phys. 87, No. 3, 561-599 (1991); translation from Teor. Mat. Fiz. 87, No. 3, 323-375 (1991). MSC: 35J10 35P20 81Q20 35B40 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} et al., Theor. Math. Phys. 87, No. 3, 561--599 (1991; Zbl 0745.35033); translation from Teor. Mat. Fiz. 87, No. 3, 323--375 (1991) Full Text: DOI