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<p>We study the effects of rotation on the Landau quantization of a charged spin-1/2 particle in the presence of a spiral dislocation using the Pauli equation. The coupling between spin, magnetic field, topological defect, and rotation makes the spinor components distinct, each with its own effective angular momentum and principal quantum number. The eigenenergies contain terms related to the spin–magnetic field, topological defect, and rotation interactions, and in a limiting case, we recover the spinless result. We show that, for quantized angular velocities, the eigenenergies can become independent of spin orientation. Graphical analysis reveals that eigenenergies for the spin(<InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(-1/2\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo>-</mo> <mn>1</mn> <mo stretchy="false">/</mo> <mn>2</mn> </mrow> </math></EquationSource> </InlineEquation>) state are higher than for spin(<InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(+1/2\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo>+</mo> <mn>1</mn> <mo stretchy="false">/</mo> <mn>2</mn> </mrow> </math></EquationSource> </InlineEquation>), especially at stronger magnetic fields and higher angular velocities. Moreover, the magnetic field and the rotation of the reference frame produce a similar effect on the particle dynamics, shifting the radial probability density toward regions closer to the origin. This suggests that the rotational effect in this case can be regarded as a quantum analogue of the Coriolis effect. Finally, increasing the magnetic field or spiral dislocation parameter reduces the effective angular velocity magnitude while raising the eigenenergy values in the spin-orientation-independent case.</p>

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Effects of Rotation on a Charged Non-Relativistic Spin-1/2 Particle in the Presence of a Spiral Dislocation

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  • 发表日期：

    2026年3月2日

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  • M. D. de Oliveira,
  • Alexandre G. M. Schmidt

摘要

We study the effects of rotation on the Landau quantization of a charged spin-1/2 particle in the presence of a spiral dislocation using the Pauli equation. The coupling between spin, magnetic field, topological defect, and rotation makes the spinor components distinct, each with its own effective angular momentum and principal quantum number. The eigenenergies contain terms related to the spin–magnetic field, topological defect, and rotation interactions, and in a limiting case, we recover the spinless result. We show that, for quantized angular velocities, the eigenenergies can become independent of spin orientation. Graphical analysis reveals that eigenenergies for the spin( \(-1/2\) - 1 / 2 ) state are higher than for spin( \(+1/2\) + 1 / 2 ), especially at stronger magnetic fields and higher angular velocities. Moreover, the magnetic field and the rotation of the reference frame produce a similar effect on the particle dynamics, shifting the radial probability density toward regions closer to the origin. This suggests that the rotational effect in this case can be regarded as a quantum analogue of the Coriolis effect. Finally, increasing the magnetic field or spiral dislocation parameter reduces the effective angular velocity magnitude while raising the eigenenergy values in the spin-orientation-independent case.