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
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:
Eventuali allegati, non sono esposti
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
