Pauli-reduced spectrum of Dirac oscillator in uniform non-Abelian background yields λ_FM = g²β²/4m (aligned), λ_S = -g²β(β-2ρ)/4m (singlet), λ_T = -g²β(β+2ρ)/4m (triplet) with quadratic vs linear scaling.
Gate-tunable graphene quantum dot and Dirac oscillator,
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The Dirac oscillator in cloud-of-strings spacetime admits exact bound states whose energy spectrum is quantized by radial number n and angular number κ and depends explicitly on oscillator frequency ω, string-cloud parameter a, and curvature-modified effective mass m_eff.
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Non-Abelian Dirac oscillator in a uniform Yang--Mills background: spin--isospin mixing and singlet--triplet splitting
Pauli-reduced spectrum of Dirac oscillator in uniform non-Abelian background yields λ_FM = g²β²/4m (aligned), λ_S = -g²β(β-2ρ)/4m (singlet), λ_T = -g²β(β+2ρ)/4m (triplet) with quadratic vs linear scaling.
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The Dirac oscillator in the curved spacetime of a cloud of strings
The Dirac oscillator in cloud-of-strings spacetime admits exact bound states whose energy spectrum is quantized by radial number n and angular number κ and depends explicitly on oscillator frequency ω, string-cloud parameter a, and curvature-modified effective mass m_eff.