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arxiv: 2511.13470 · v2 · pith:QHK6M23Snew · submitted 2025-11-17 · 🧮 math-ph · cond-mat.mes-hall· math.AP· math.CA· math.FA· math.MP

Magnetic Double-Wells: Lower Bounds on Tunneling

classification 🧮 math-ph cond-mat.mes-hallmath.APmath.CAmath.FAmath.MP
keywords tunnelingboundsdouble-welllowermagneticannouncedcomplementsconstant
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We study double-well systems with strong magnetic fields and deep potential wells. We present lower bounds on tunneling rates for generic values of the coupling constant. This result was recently announced and complements our recent counter-example construction which exhibits vanishing tunneling for specially-constructed double-well potentials.

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