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Found 11 Documents (Results 1–11)

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).
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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).
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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).
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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).
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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).
MSC:  81Q10 35P20 47N50
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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
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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
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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).
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