Magnetic calculus and semiclassical trace formulas
نویسنده
چکیده
The aim of these notes is to show how the magnetic calculus developed in [MP, IMP1, IMP2, MPR, LMR] permits to give a new information on the nature of the coefficients of the expansion of the trace of a function of the magnetic Schrödinger operator whose existence was established in [HR2].
منابع مشابه
Semiclassical non-trace-type formulas for matrix-element fluctuations and weighted densities of states.
Densities of states weighted with the diagonal matrix elements of two operators A and B, i.e., rho(A,B)(E)= summation operator(n)delta(E-E(n)), cannot, in general, be written as a trace formula, and therefore no simple extension of semiclassical trace formulas is known for this case. However, from the high resolution analysis of quantum spectra in the semiclassical regime we find stro...
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