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In this paper we construct a solvable toy model of the quantum dynamics of the interior of a spherical black hole with falling spherical scalar field excitations. We first argue about how some aspects of the quantum gravity dynamics of…

General Relativity and Quantum Cosmology · Physics 2023-01-11 Alejandro Perez , Salvatore Ribisi , Sami Viollet

We study an internal structure of (2+1)-dimensional black hole with the neutral scalar matter in the spherically symmetric geometry by using a quantum theory of gravity which holds in the both vicinities of the singularity and the apparent…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ichiro Oda

The Kondo effect is investigated in a many-electron quantum ring as a function of magnetic field. For fields applied perpendicular to the plane of the ring a modulation of the Kondo effect with the Aharonov-Bohm period is observed. This…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Fuhrer , T. Ihn , K. Ensslin , W. Wegscheider , M. Bichler

Ring geometries have fascinated experimental and theoretical physicists over many years. Open rings connected to leads allow the observation of the Aharonov-Bohm effect, a paradigm of quantum mechanical phase coherence. The phase coherence…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 A. Fuhrer , S. Luescher , T. Ihn , T. Heinzel , K. Ensslin , W. Wegscheider , M. Bichler

The formulation of quantum mechanics on spaces of constant curvature is studied. It is shown how a transition from a classical system to the quantum case can be accomplished by the quantization of the Noether momenta. These can be…

Mathematical Physics · Physics 2015-06-22 Paul Bracken

In this paper we investigate the relativistic quantum dynamics of a massive excitation in a graphene layer with a wedge disclination in the presence of an uniform magnetic field. We use a Dirac oscillator type coupling to introduce the…

Mesoscale and Nanoscale Physics · Physics 2018-04-04 Jose Amaro Neto , J. R. S. Oliveira , Claudio Furtado , S. Sergeenkov

This work presents a theoretical study of the energy spectrum of GaAs/AlGaAs concentric double quantum rings, under an applied magnetic field directed perpendicular to the ring plane. The Schrodinger equation for this system is solved in a…

Mesoscale and Nanoscale Physics · Physics 2013-11-27 J. Costa e Silva , Andrey Chaves , G. A. Farias , M. H. Degani , R. Ferreira

Traditionally, the understanding of quantum transport, coherent and ballistic1, relies on the measurement of macroscopic properties such as the conductance. While powerful when coupled to statistical theories, this approach cannot provide a…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 B. Hackens , F. Martins , T. Ouisse , H. Sellier , S. Bollaert , X. Wallart , A. Cappy , J. Chevrier , V. Bayot , S. Huant

A quantum theory is developed for the scattering of a nonrelativistic particle in the field of a cosmic string regarded as a combination of a magnetic and gravitational strings. Allowance is made for the effects due to the finite transverse…

High Energy Physics - Theory · Physics 2007-05-23 Yurii Sitenko , Alexei Mishchenko

In this work, we use the thin-layer quantization procedure to study the physical implications due to curvature effects on a quantum dot in the presence of an external magnetic field. Among the various physical implications due to the…

Mesoscale and Nanoscale Physics · Physics 2019-11-25 Luis Fernando C. Pereira , Fabiano M. Andrade , Cleverson Filgueiras , Edilberto O. Silva

A classical computer simulating Schrodinger dynamics of a quantum system requires resources which scale exponentially with the size of the system, and is regarded as inefficient for such purposes. However, a quantum computer made up of a…

Quantum Physics · Physics 2015-06-16 Ravi Shankar , Swathi S. Hegde , T. S. Mahesh

Quantum dynamics of a two-state spin system in a rotating magnetic field has been studied. Analytical and numerical results for the transition probability have been obtained along the lines of the Landau-Zener-Stueckelberg theory. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 C. Calero , E. M. Chudnovsky , D. A. Garanin

We study a model for quantum gravity on a circle in which the notion of a classical metric tensor is replaced by a quantum metric with an inhomogeneous transformation law under diffeomorphisms. This transformation law corresponds to the…

General Relativity and Quantum Cosmology · Physics 2010-04-06 R. J. Henderson , S. G. Rajeev

Quantum Rings have been simulated so far in many ways, but in this work a new aproximation is deemed. We use particles without angular momentum and several spectra, for different geometric settings, are gotten. These spectra depends on K,…

Quantum Physics · Physics 2020-10-08 César Alonso-Lobo , Manuel Martínez-Quesada

We investigate the effects of impurities and changing ring geometry on the energetics of quantum rings under different magnetic field strengths. We show that as the magnetic field and/or the electron number are/is increased, both the…

Strongly Correlated Electrons · Physics 2007-05-23 M. Aichinger , S. A. Chin , E. Krotscheck , E. Rasanen

We have proposed and validated an ansatz as effective potential for confining electron/hole within spherical quantum dot in order to understand quantum confinement and its consequences associated with energy states and band gap of Spherical…

Mesoscale and Nanoscale Physics · Physics 2018-01-17 P. Borah , D. Siboh , P. K. Kalita , J. K. Sarma , N. M. Nath

In this work we discuss about the problem of an electrically charged particle placed on the symmetry axis of an electrically charged ring in a quantum viewpoint. This problem should be an expanded version of the usual quantum ring and…

Quantum Physics · Physics 2025-08-01 Wytler Cordeiro dos Santos , Bruno Carmo Nunes , Ronni G. G. Amorim

The nonrelativistic quantum dynamics of a spinless charged particle in the presence of the Aharonov--Bohm potential in curved space is considered. We chose the surface as being a cone defined by a line element in polar coordinates. The…

The quantum free particle on the sphere $S_\kappa^2$ ($\kappa>0$) and on the hyperbolic plane $H_\kappa^2$ ($\kappa<0$) is studied using a formalism that considers the curvature $\k$ as a parameter. The first part is mainly concerned with…

Mathematical Physics · Physics 2012-01-27 José F. Cariñena , Manuel F. Rañada , Mariano Santander

We examine the Schwarzschild interior of a black hole, incorporating quantum gravitational modifications due to loop quantum gravity. We consider an improved loop quantization using techniques that have proven successful in loop quantum…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Christian G. Boehmer , Kevin Vandersloot