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CONSTRUCTING QUANTUM OBSERVABLES AND SELF-ADJOINT EXTENSIONS OF SYMMETRIC OPERATORS. III. SELF-ADJOINT BOUNDARY CONDITIONS
(SPRINGER, 2008)
This paper completes the review of the theory of self-adjoint extensions of symmetric operators for physicists as a basis for constructing quantum-mechanical observables. It contains a comparative presentation of the ...
Hamiltonian self-adjoint extensions for(2+1)-dimensional Dirac particles
(IOP Publishing, 2001-12)
We study the stationary problem of a charged Dirac particle in (2+1) dimensions in the presence of a uniform magnetic field B and a singular magnetic tube of flux Phi = 2 pi kappa/e. The rotational invariance of this ...
Spectral functions of non-essentially self-adjoint operators
(IOP Publishing, 2012-09)
One of the many problems to which Dowker devoted his attention is the effect of a conical singularity in the base manifold on the behavior of the quantum fields. In particular, he studied the small-t asymptotic expansion ...
Self-adjoint extensions and spectral analysis in the Calogero problem
(IOP PUBLISHING LTD, 2010)
In this paper, we present a mathematically rigorous quantum-mechanical treatment of a one-dimensional motion of a particle in the Calogero potential alpha x(-2). Although the problem is quite old and well studied, we believe ...
Self-adjointness of two-dimensional Dirac operators on corner domains
(European Matjermatical, 2021)
We investigate the self-adjointness of the two-dimensional Dirac operator D, with quantum-dot and Lorentz-scalar delta-shell boundary conditions, on piecewise C-2 domains (with finitely many corners). For both models, we ...
Spectral theory of the thermal Hamiltonian: 1D case
(European Mathematical Society Publishing House, 2021)
© 2021 European Mathematical Society.In 1964 J. M. Luttinger introduced a model for the quantum thermal transport. In this paper we study the spectral theory of the Hamiltonian operator associated with Luttinger's model, ...
Perturbation Theory for the Thermal Hamiltonian: 1D Case
(SPRINGER, 2021)
This work continues the study of the thermal Hamiltonian, initially proposed by J. M. Luttinger in 1964 as a model for the conduction of thermal currents in solids. The previous work (De Nittis and Lenz in Spectral theory ...