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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The extended Nikiforov-Uvarov method applied to the Heun equation from the Pauli equation in constant-curvature spaces produces a quantization condition but cannot satisfy the requirements for polynomial solutions, indicating limited applicability.
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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.
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Pauli equation in spaces of constant curvature and extended Nikiforov-Uvarov method
The extended Nikiforov-Uvarov method applied to the Heun equation from the Pauli equation in constant-curvature spaces produces a quantization condition but cannot satisfy the requirements for polynomial solutions, indicating limited applicability.