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Dunkl–Pauli Equation In The Presence Of A Magnetic Field

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Coupling to the Electromagnetic Field Minimal coupling Covariant formulation Gauge invariance Continuity equation & positive definiteness The Pauli equation, an important equation of quantum mechanics, allows us to study the dynamics of spin-$1/2$ particles. The Dunkl derivative, when

Dunkl-Schrodinger Equation in Higher Dimension

Figure 1 from Pauli equation for a charged spin particle on a curved ...

Motivated by these facts, in this work, we consider a two-dimensional nonrelativistic spin-1/2 particle system in the presence of an external magnetic field, and we Dunkl–Pauli equation in the presence of a magnetic field H. BouguerneB. HamilB. C. LütfüoğluM. Merad Physics Indian Journal of Physics 2024 In this paper, the Feynman path integral approach within three parameters Dunkl derivative is investigated in the one-dimensional case of nonrelativistic quantum mechanics. We

More recently, the Dunkl-Pauli equation in the presence of an external magnetic field has been studied by the two authors of this manuscript [41]. Several authors have put forth a number of We use the Lewis-Riesenfeld theory to determine the exact form of the wavefunctions of a two-dimensionnal harmonic oscillator with time-dependent mass and Abstract:The Pauli-Poisson equation is a semi-relativistic model for charged spin-1/2-particles in a strong external magnetic field and a self-consistent electric potential computed from the

The Pauli equation, an important equation of quantum mechanics, allows us to study the dynamics of spin-$1/2$ particles. The Dunkl derivative, when

In this paper we consider a charged Wigner–Dunkl quantum system in the presence of a constant magnetic field. It is shown that this system obeys gauge invariance if minimally

Spin and the Pauli Equation

We constructed the Dunkl-Pauli Hamiltonian, which incorporates a time-varying magnetic field and a harmonic oscillator characterized by time-dependent mass and frequency,

In this paper we consider a charged Wigner-Dunkl quantum system in the presence of a constant magnetic field. It is shown that this system obeys gauge invariance if minimally coupled to a Motivated by these facts, in this work, we consider a two-dimensional nonrelativistic spin-1/2 particle system in the presence of an external magnetic field, and we In this paper we consider a charged Wigner-Dunkl quantum system in the presence of a constant magnetic field. It is shown that this system obeys gauge invariance if minimally

Article „Dunkl-Pauli Equation in the Presence of a Magnetic Field“ Detailed information of the J-GLOBAL is an information service managed by the Japan Science and Technology Agency

Title: Dunkl-Pauli Equation Authors: H. Bouguerne, B. Hamil, B. C. L\“utf\“uo\u {g}lu and M. Merad Abstract summary: We consider a two-dimensional nonrelativistic spin-$1/2$ particle system in

[2309.14081v1] Dunkl-Pauli Equation

The Pauli equation, developed by Wolfgang Pauli as an extension of the Schrödinger equation, integrates electron spin and magnetic field interactions to describe the dynamics of non So what is the Pauli equation? It is the first attempt there was to figure out how the Schrodinger equation should be tailored for an electron. So we can also think of the Pauli equation as a

Using the nonrelativistic approximation in the curved-space Dirac equation, the analog of the Pauli equation is derived for a weak gravitational field with a gauge fixing

Citations (0) References (70) Dunkl-Pauli Equation in the Presence of a Magnetic Field Article Full-text available Mar 2024 INDIAN J PHYS Hacene Bouguerne Bilel Hamil Bekir

Dirac Equation in the Presence of Minimal Uncertainty in Momentum #23 B. Hamil ( Hassiba Benbouali U., Chlef For a uniform magnetic field the spin-term does not depend on the trajectory and hence does not enter the equation of motion. With the help of the rotation matrix

The Pauli equation, an important equation of quantum mechanics, allows us to study the dynamics of spin-$1/2$ particles. The Dunkl derivative, when

This study explores the time-dependent Dunkl-Pauli oscillator in two dimensions. We constructed the Dunkl-Pauli Hamiltonian, which incorporates a time-varying magnetic field and a harmonic Using the nonrelativistic approximation in the curved-space Dirac equation, the analog of the Pauli equation is derived for a weak gravitational field with a gauge fixing

In this article, in the context of the Magueijo–Smolin (MS) model and by using the Foldy-Wouthuysen transformation, we investigate the non-relativistic limit (NRL) of the

Dunkl-Pauli Equation in the Presence of a Magnetic Field Article Full-text available Mar 2024 INDIAN J PHYS Hacene Bouguerne Bilel Hamil Mahmoud Merad Bekir Can Lütfüoğlu

We derive a Pauli-Schrödinger type equation from the classical Liouville equation, for a neutral particle with arbitrary spin and magnetic dipole. Our derivation does not apply to a

The Pauli equation, an important equation of quantum mechanics, allows us to study the dynamics of spin-$1/2$ particles. The Dunkl derivative, when used instead of the ordinary The alternative, thus, is to change the Schrödinger equation so that the spin-field interaction will appear only in the presence of a magnetic field and disappear in its absence. This study explores the time-dependent Dunkl-Pauli oscillator in two dimensions. We constructed the Dunkl-Pauli Hamiltonian, which incorporates a time-varying magnetic field and a harmonic

In quantum mechanics, the Pauli equation or Schrödinger–Pauli equation is the formulation of the Schrödinger equation for spin-1/2 particles, which takes into account the interaction of the Subsequently, the solutions of the DKP equation with the Coulomb [39] and step potentials [40] were examined. More recently, the Dunkl-Pauli equation in the presence of an external On the other hand, recent studies show that the use of Dunkl derivative, instead of ordinary derivative, allows the concept of parity to be interpreted together with other physical quantities.

Dunkl-Pauli Equation in the Presence of a Magnetic Field Article Full-text available Mar 2024 INDIAN J PHYS In this paper, we obtain exact solutions of the time-dependent noncommutative Pauli equation with considering a constant magnetic field perpendicular to the plane through