On noninertial effects inducing a confinement of a neutral particle to a hard-wall confining potential

Abstract

Abstract:In this contribution, we discuss the confinement of a nonrelativistic spin-half neutral particle to a hard-wall confining potential induced by noninertial effects. We show that the geometry of the manifold plays the role of a hard-wall confining potential and yields bound state solutions. We also consider a neutral particle with a permanent magnetic dipole moment interacting with a field configuration induced by noninertial effects, and discuss the behaviour of the induced fields and obtain energy levels for bound states. PACS

Thermodynamics of the two-dimensional quantum harmonic oscillator system subject to a hard-wall confining potential

“…, namely [33,38,39,46,47] Figure 1. On the left we have a schematic picture of a two-dimensional harmonic oscillator of mass m in a circular cavity of radius ρ 0 , where j is the polar angle.…”

Noninertial effects on nonrelativistic topological quantum scattering

“…Note that, by taking α → 1, we recover the Schrödinger equation in the Fermi-Walker reference frame obtained Ref. [31] in the absence of a topological defect. A particular solution to Eq.…”

“…As pointed out in Refs. [30,31], the line element of the cosmic string under the effects of rotation becomes defined in the range…”

“…Then, by following Refs. [31,51], we can write the solution to the Dirac equation ( 5) as Ψ = e −i m t (φ χ) T , where φ is considered to be the "large" component and χ is considered to be the "small" component, and thus we can take the nonrelativistic limit of the Dirac equation. In this way, after some calculations, we obtain the Schrödinger equation:…”

“…This particular aspect has attracted interests in the quantum field theory with studies in Dirac fields [9,24], Casimir effect [25], scalar bosons [26], DKP equation [27], electroweak interactions [28], neutrino interactions [29] and the Dirac oscillator [30]. This geometrical approach proposed by Landau and Lifshitz [2] has also been explored in the nonrelativistic limit of the Dirac equation with the confinement of a neutral particle to a hard-wall confining potential [31] and in the presence of torsion [32].…”