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- Title
QUANTUM OBSERVABLES AS MAGNETIC ΨDO.
- Authors
IFTIMIE, VIOREL; MĂNTOIU, MARIUS; PURICE, RADU
- Abstract
In this paper, we shall present a review of some basic results concerning the twisted Weyl quantization [12] with some modified proofs that allow a special focus on the dependence on the behaviour of the magnetic field. The main new result of this paper is contained in Theorem 2.11 and states that the symbol of the evolution group of the self-adjoint operator defined by a real elliptic symbol of strictly positive order in a smooth bounded magnetic field leaves invariant the space of Schwartz test functions and its dual.
- Subjects
QUANTUM field theory; WEYL theory of boundary value problems; QUANTIZATION electromagnetic field; SELFADJOINT operators; LINEAR operators
- Publication
Revue Roumaine de Mathematiques Pures et Appliquees, 2019, Issue 2, p1
- ISSN
0035-3965
- Publication type
Article