Casimir effect for a massive scalar field confined between parallel plates with a spatially varying effective mass

arXiv:2607.15070 · hep-th, gr-qc, math-ph, math.MP, quant-ph · Submitted 2026-07-16 · Read on arXiv

hep-th, gr-qc, math-ph, math.MP, quant-ph

Submitted: 2026-07-16

Updated: 2026-09-25

Terminology

• Quantization — 11× in this paper · explained in 12 episodes
• Regularization — 5× in this paper · explained in 3 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• Degeneracy — 1× in this paper · explained in 3 episodes
• Verification — 1× in this paper · explained in 2 episodes

Sources

• On the Klein-Gordon oscillator subject to a Coulomb-type potential
• On a relativistic scalar particle subject to the Klein-Gordon oscillator, the Coulomb potential and a linear scalar potential
• Torsion effects on a relativistic position-dependent mass system
• Basic zeta functions and some applications in physics
• Vacuum Energy and Topological Mass from a Constant Magnetic Field and Boundary Conditions in Coupled Scalar Field Theories
• Casimir energy and topological mass for a massive scalar field with Lorentz violation

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