A pragmatic approach to the problem of the self-adjoint extension of Hamilton operators with the Aharonov-Bohm potential [PDF]
, 1995 We consider the problem of self-adjoint extension of Hamilton operators for charged quantum particles in the pure Aharonov-Bohm potential (infinitely thin solenoid).
Audretsch J +13 more
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On local spectral properties of Hamilton operators
Filomat, 2018 This paper deals with local spectral properties of Hamilton type operators. The strongly decomposability, Weyl type theorems and hyperinvariant subspace problem of them and the similar properties with their adjoint operators are studied. As corollaries, some local spectral properties of Hamilton operators are obtained.
Bai, Wurichaihu, Chen, Alatancang
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On the eigenfunction expansion for the Hamilton operators [PDF]
Journal of Spectral Theory, 2014 A spectral representation for solutions to linear Hamilton equations with nonnegative energy in Hilbert spaces is obtained. This paper continues our previous work on Hamilton equations with positive definite energy. Our approach is a special version of M. Krein's spectral theory of $J$-selfadjoint operators in Hilbert spaces with indefinite metric.
Komech, Alexander, Kopylova, Elena
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Variational and viscosity operators for the evolutionary Hamilton–Jacobi equation [PDF]
Communications in Contemporary Mathematics, 2019 We study the Cauchy problem for the first-order evolutionary Hamilton–Jacobi equation with a Lipschitz initial condition. The Hamiltonian is not necessarily convex in the momentum variable and not a priori compactly supported. We build and study an operator giving a variational solution of this problem, and get local Lipschitz estimates on this ...
Valentine Roos
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Zeitschrift für Naturforschung A, 2021 We investigate spin Hamilton operators and compare spin coherent states and Bell states concerning entanglement, Husimi distributions, uncertainty relation and Bell inequality. The distances between spin coherent states and Bell states are derived.
Dylan Durieux, W. Steeb
semanticscholar +1 more source
A kernel formula for regularized Wasserstein proximal operators [PDF]
Research in the Mathematical Sciences, 2023 We study a class of regularized proximal operators in Wasserstein-2 space. We derive their solutions by kernel integration formulas. We obtain the Wasserstein proximal operator using a pair of forward–backward partial differential equations consisting of
Wuchen Li, Siting Liu, S. Osher
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Notizen: Zur Transformation des Fröhlichschen Hamilton-Operators
Zeitschrift für Naturforschung A, 1964 A. Haug
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From classical Lagrangians to Hamilton operators in the Standard-Model Extension [PDF]
, 2016 In this article we investigate whether a theory based on a classical Lagrangian for the minimal Standard-Model Extension (SME) can be quantized such that the result is equal to the corresponding low-energy Hamilton operator obtained from the field-theory
M. Schreck
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Algebra of the Symmetry Operators of the Klein-Gordon-Fock Equation for the Case When Groups of Motions G3 Act Transitively on Null Subsurfaces of Spacetime [PDF]
Symmetry, 2022 The algebras of the symmetry operators for the Hamilton–Jacobi and Klein–Gordon–Fock equations are found for a charged test particle, moving in an external electromagnetic field in a spacetime manifold on the isotropic (null) hypersurface, of which a ...
V. Obukhov
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Algebras of integrals of motion for the Hamilton–Jacobi and Klein–Gordon–Fock equations in spacetime with four-parameter groups of motions in the presence of an external electromagnetic field [PDF]
Journal of Mathematics and Physics, 2021 The algebras of the integrals of motion of the Hamilton-Jacobi and Klein-Gordon-Fock equations for a charged test particle moving in an external electromagnetic field in a spacetime manifold are found.
V. Obukhov
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