Semi-classical trace formulas and heat expansions
Colin De Verdière, Yves
HAL, hal-00578731 / Harvested from HAL
Text on HAL
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 Schrödinger 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.
Publié le : 2012-12-21
Classification:  Trace formula,  Magnetic fields,  Heat expansion,  Synchronous gauge,  35P20; 35Q430 ; 35S05 ; 58J35,  [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph],  [MATH.MATH-SP]Mathematics [math]/Spectral Theory [math.SP] 
@article{hal-00578731,
     author = {Colin De Verdi\`ere, Yves},
     title = {Semi-classical trace formulas and heat expansions},
     journal = {HAL},
     volume = {2012},
     number = {0},
     year = {2012},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00578731}
}

Colin De Verdière, Yves. Semi-classical trace formulas and heat expansions. HAL, Tome 2012 (2012) no. 0, . http://gdmltest.u-ga.fr/item/hal-00578731/