We consider the operator in (1.1) and prove that it is analytic hypoelliptic. This operator is linked to a stationary Schrödinger equation with a magnetic field and an anharmonic type potential. It is also a sum of squares of vector fields exhibiting a symplectic characteristic variety. This aspect is discussed in the introduction.
Bove A., Chinni G., Mughetti M. (2023). On a class of sums of squares related to Hamiltonians with a non periodic magnetic field. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 526(2), 1-20 [10.1016/j.jmaa.2023.127303].
On a class of sums of squares related to Hamiltonians with a non periodic magnetic field
Bove A.
;Chinni G.
;Mughetti M.
2023
Abstract
We consider the operator in (1.1) and prove that it is analytic hypoelliptic. This operator is linked to a stationary Schrödinger equation with a magnetic field and an anharmonic type potential. It is also a sum of squares of vector fields exhibiting a symplectic characteristic variety. This aspect is discussed in the introduction.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
On a class of sums of squares related to Hamiltonians with a non periodic magnetic field(A.Bove_G.Chinni_M.Mughetti).pdf
embargo fino al 16/04/2025
Tipo:
Postprint
Licenza:
Licenza per Accesso Aperto. Creative Commons Attribuzione - Non commerciale - Non opere derivate (CCBYNCND)
Dimensione
495.7 kB
Formato
Adobe PDF
|
495.7 kB | Adobe PDF | Visualizza/Apri Contatta l'autore |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
