Spin-Momentum Impedance and Filtering by a Spin-Coupled Absorbing Boundary Condition

• URL: http://arxiv.org/abs/2606.25650v1
• Date: Wed, 24 Jun 2026 10:07:49 GMT
• Title: Spin-Momentum Impedance and Filtering by a Spin-Coupled Absorbing Boundary Condition
• Abstract summary: We show that a spin-coupled absorbing boundary for a Pauli particle acts instead as a spin-momentum impedance.<n>The robust result is a spin--momentum filtering mechanism with boundary scale $|boldsymbol|simsqrt$, not a universal arrival-time law.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: Absorbing boundaries are often treated as scalar sinks. Here we show that a spin-coupled absorbing boundary for a Pauli particle acts instead as a spin--momentum impedance. Its tangential boundary symbol has two branches, $iκ\pm|\boldsymbolξ|$, coupling normal absorption to in-plane momentum. In a harmonic guide, the transverse ground state samples $|\boldsymbolξ|\sim \ell_\perp^{-1}\sim\sqrtω$; narrowing the guide therefore strengthens a local evanescent boundary response without introducing a bulk potential barrier. Solving the detector-present spinor absorbing-boundary evolution, we identify boundary-induced filtering: the prompt detector flux is suppressed, the fixed-window detected fraction is reduced, and a delayed oscillatory sector appears. Over that window the restricted mean detection time is fitted by $A+B\sqrtω$, with setup-dependent coefficients. The robust result is a spin--momentum filtering mechanism with boundary scale $|\boldsymbolξ|\sim\sqrtω$, not a universal arrival-time law.

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