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arxiv: 1103.4461 · v3 · pith:IIZATTTYnew · submitted 2011-03-23 · 🧮 math-ph · math.MP· math.SP

Semi-classical trace formulas and heat expansions

classification 🧮 math-ph math.MPmath.SP
keywords expansionsformulaheatsemi-classicaltracecomputedeveloppedfield
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in the recent paper [Journal of Physics A, 43474-0288 (2011)], B. Helffer and R. Purice compute the second term of a semi-classical trace formula for a Schr\"odinger operator with magnetic field. We show how to recover their formula by using the methods developped by the geometers in the seventies for the heat expansions.

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