We consider the one-dimensional anharmonic oscillator P and we study the qualitative behaviour of its eigenvalues; in particular, we show how the sign of its eigenvalues depends on the coefficients of P. We applied our results to the study of hypoellipticity and of a priori estimates for certain non-transversally elliptic operators.
On the spectrum of an anharmonic oscillator / Mughetti, Marco. - In: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9947. - STAMPA. - 367:2(2015), pp. 835-865. [10.1090/S0002-9947-2014-05896-0]
On the spectrum of an anharmonic oscillator
MUGHETTI, MARCO
2015
Abstract
We consider the one-dimensional anharmonic oscillator P and we study the qualitative behaviour of its eigenvalues; in particular, we show how the sign of its eigenvalues depends on the coefficients of P. We applied our results to the study of hypoellipticity and of a priori estimates for certain non-transversally elliptic operators.File in questo prodotto:
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