[HTML][HTML] Dirac equation on a curved surface
The dynamics of Dirac particles confined to a curved surface is examined employing the thin-
layer method. We perform a perturbative expansion to first-order and split the Dirac field into …
layer method. We perform a perturbative expansion to first-order and split the Dirac field into …
Exact solutions of Dirac equation on a static curved space–time
MD de Oliveira, AGM Schmidt - Annals of Physics, 2019 - Elsevier
In this work we study the Dirac equation in a curved static space–time, where the metric
depends on two arbitrary functions f (r) and g (r), namely the line element is ds 2= e 2 f (r) dt …
depends on two arbitrary functions f (r) and g (r), namely the line element is ds 2= e 2 f (r) dt …
Geometry-induced monopole magnetic field and quantum spin Hall effects
YL Wang, H Zhao, H Jiang, H Liu, YF Chen - Physical Review B, 2022 - APS
For a relativistic particle confined to a Möbius strip, the effective Dirac equation is first given
in the thin-layer quantization formalism. We find that an effective gauge potential results from …
in the thin-layer quantization formalism. We find that an effective gauge potential results from …
Spin-deformation coupling in two-dimensional polar materials
The control of the spin degree of freedom is at the heart of spintronics, which can potentially
be achieved by spin-orbit coupling or band topological effects. In this paper, we explore …
be achieved by spin-orbit coupling or band topological effects. In this paper, we explore …
Exact solutions of Schrödinger and Pauli equations on a spherical surface and interacting with Pöschl-Teller double-ring-shaped potential
We exactly solve the Schrödinger equation written on a spherical surface and interacting
with the Pöschl-Teller double-ring-shaped (PTDRS) potential and calculate their …
with the Pöschl-Teller double-ring-shaped (PTDRS) potential and calculate their …
Quantum mechanics of a fermion confined to a curved surface in Foldy-Wouthuysen representation
In Foldy-Wouthuysen representation, this paper deduces the effective quantum mechanics
for a relativistic particle confined to a curved surface in an external field by using the thin …
for a relativistic particle confined to a curved surface in an external field by using the thin …
[HTML][HTML] Hamiltonian for a particle in a magnetic field on a curved surface in orthogonal curvilinear coordinates
Abstract The Schrödinger Hamiltonian of a spin-less particle as well as the Pauli
Hamiltonian with spin–orbit coupling included of a spin one-half particle in electromagnetic …
Hamiltonian with spin–orbit coupling included of a spin one-half particle in electromagnetic …
Solution for Pauli equation in a toroidal surface with uniform magnetic field
AGM Schmidt - Physica E: Low-dimensional Systems and …, 2019 - Elsevier
We solve analytically the Pauli equation for a charged spin 1∕ 2 particle constrained to
move along a toroidal surface and interacting with a uniform magnetic field. The two …
move along a toroidal surface and interacting with a uniform magnetic field. The two …
Confinement of bosons in symmetrically spherical regions with double topological defect
MD de Oliveira - Physica Scripta, 2023 - iopscience.iop.org
Confinement of bosons in symmetrically spherical regions with double topological defect -
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Exact solutions of Schrödinger and Pauli equations for a charged particle on a sphere and interacting with non-central potentials
We calculate exact solutions of the Schrödinger equation for a particle constrained to move
along a spherical surface and interacting with non-central potentials, namely,(i) Makarov,(ii) …
along a spherical surface and interacting with non-central potentials, namely,(i) Makarov,(ii) …