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.
On a class of sums of squares related to Hamiltonians with a non periodic magnetic field / Bove A.; Chinni G.; Mughetti M.. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - ELETTRONICO. - 526:2(2023), pp. 127303.1-127303.20. [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:
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On a class of sums of squares related to Hamiltonians with a non periodic magnetic field(A.Bove_G.Chinni_M.Mughetti).pdf
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