Quantum mechanics of fermion confined to a curved surface in
Foldy-Wouthuysen representation
- URL: http://arxiv.org/abs/2111.14058v1
- Date: Sun, 28 Nov 2021 05:37:57 GMT
- Title: Quantum mechanics of fermion confined to a curved surface in
Foldy-Wouthuysen representation
- Authors: Hao Zhao, Yong-Long Wang, Cheng-Zhi Ye, Run Cheng, Guo-Hua Liang, and
Hui Liu
- Abstract summary: We deduce the effective quantum mechanics for a particle confined to a curved surface by using the thin-layer quantization scheme.
We find that the spin effect caused by confined potential as the results of relativistic correction in the non-relativistic limit.
- Score: 4.354911099285336
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: In Foldy-Wouthuysen representation, we deduce the effective quantum mechanics
for a particle confined to a curved surface by using the thin-layer
quantization scheme. We find that the spin effect caused by confined potential
as the results of relativistic correction in the non-relativistic limit.
Furthermore, the spin connection appeared in curved surface which depends on
curvature contributes a Zeeman-like gap in the relativistic correction term. In
addition, the confined potential also induces a curvature-independent energy
shift, which is from the zitterbewegung effect. As an example, we apply the
effective Hamiltonian to torus surface, in which we obtain expectantly the spin
effects related to confined potential. Those results directly demonstrate the
scaling of the uncommutation of the non-relativistic limit and the thin-layer
quantization formalism
Related papers
- Influence of retardation and dispersive surfaces on the regimes of the
lateral Casimir-Polder force [0.0]
We investigate the Casimir-Polder interaction between a neutral anisotropic polarizable particle and a corrugated surface made of a realistic material.
We show that the consideration of a dispersive surface, when compared to the mentioned idealized materials, can amplify the occurrence of the valley and intermediate regimes.
arXiv Detail & Related papers (2024-02-10T19:19:36Z) - Non-Hermitian fermions with effective mass [0.0]
In seeking a Schr"odinger-like theory with PT symmetry is appropriate to assume a complex potential.
In seeking a Schr"odinger-like theory with PT symmetry is appropriate to assume a complex potential.
arXiv Detail & Related papers (2023-02-09T15:45:01Z) - Effective quantum dynamics in curved thin-layer system with
inhomogeneous confinement [0.0]
The motion of quantum particles homogeneously constrained to a curved surface is affected by a curvature induced geometric potential.
This study develops the method for low-dimensional constrained systems and exhibits the possibility of new degree of control for waveguiding in nanostructures.
arXiv Detail & Related papers (2022-08-14T09:23:38Z) - Dispersive readout of molecular spin qudits [68.8204255655161]
We study the physics of a magnetic molecule described by a "giant" spin with multiple $d > 2$ spin states.
We derive an expression for the output modes in the dispersive regime of operation.
We find that the measurement of the cavity transmission allows to uniquely determine the spin state of the qudits.
arXiv Detail & Related papers (2021-09-29T18:00:09Z) - Detectable Signature of Quantum Friction on a Sliding Particle in Vacuum [58.720142291102135]
We show traces of quantum friction in the degradation of the quantum coherence of a particle.
We propose to use the accumulated geometric phase acquired by a particle as a quantum friction sensor.
The experimentally viable scheme presented can spark renewed optimism for the detection of non-contact friction.
arXiv Detail & Related papers (2021-03-22T16:25:27Z) - Chemical tuning of spin clock transitions in molecular monomers based on
nuclear spin-free Ni(II) [52.259804540075514]
We report the existence of a sizeable quantum tunnelling splitting between the two lowest electronic spin levels of mononuclear Ni complexes.
The level anti-crossing, or magnetic clock transition, associated with this gap has been directly monitored by heat capacity experiments.
The comparison of these results with those obtained for a Co derivative, for which tunnelling is forbidden by symmetry, shows that the clock transition leads to an effective suppression of intermolecular spin-spin interactions.
arXiv Detail & Related papers (2021-03-04T13:31:40Z) - Light-matter interactions near photonic Weyl points [68.8204255655161]
Weyl photons appear when two three-dimensional photonic bands with linear dispersion are degenerated at a single momentum point, labeled as Weyl point.
We analyze the dynamics of a single quantum emitter coupled to a Weyl photonic bath as a function of its detuning with respect to the Weyl point.
arXiv Detail & Related papers (2020-12-23T18:51:13Z) - Enhanced decoherence for a neutral particle sliding on a metallic
surface in vacuum [68.8204255655161]
We show that non-contact friction enhances the decoherence of the moving atom.
We suggest that measuring decoherence times through velocity dependence of coherences could indirectly demonstrate the existence of quantum friction.
arXiv Detail & Related papers (2020-11-06T17:34:35Z) - Zitterbewegung and Klein-tunneling phenomena for transient quantum waves [77.34726150561087]
We show that the Zitterbewegung effect manifests itself as a series of quantum beats of the particle density in the long-time limit.
We also find a time-domain where the particle density of the point source is governed by the propagation of a main wavefront.
The relative positions of these wavefronts are used to investigate the time-delay of quantum waves in the Klein-tunneling regime.
arXiv Detail & Related papers (2020-03-09T21:27:02Z) - Fluctuational Anomalous Hall and Nernst Effects in Superconductors [0.0]
We develop kinetic theory of the anomalous Hall and Nernst effects in superconductors induced by fluctuations in the vicinity of the critical transition temperature.
asymmetric skew-scattering due to spin-orbit interaction gives rise to a new anomalous Hall conductance promoted by Maki-Thompson interference and density of states fluctuational effects.
The anomalous Nernst effect is found due to a special nonlinear Aslamazov-Larkin term from the quantum-crossing of interacting fluctuations in a Hikami box with the skew-scattering process.
arXiv Detail & Related papers (2020-02-19T19:00:00Z) - On an electrodynamic origin of quantum fluctuations [0.0]
We show that violent fluctuations are experienced by an electromagnetic charged extended particle when it is perturbed from its rest state.
We derive a series expansion of the self-potential, which in addition to rest and kinetic energy, gives rise to a new contribution that shares features with the quantum potential.
arXiv Detail & Related papers (2020-01-21T08:55:21Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.