Essential self-adjointness for combinatorial Schr\"odinger operators III- Magnetic fields

05/UR/15-02); Francoise Truc (IF); Nabila Torki-Hamza (IF; Yves Colin De Verdi\`ere (IF)

arxiv: 1011.6492 · v1 · pith:XUTJ3326new · submitted 2010-11-30 · 🧮 math.SP · math-ph· math.MP

Essential self-adjointness for combinatorial Schr\"odinger operators III- Magnetic fields

Yves Colin De Verdi\`ere (IF) , Nabila Torki-Hamza (IF , 05/UR/15-02) , Francoise Truc (IF) This is my paper

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keywords magneticessentialodingerresultschrself-adjointnesssomeweights

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We define the magnetic Schr\"odinger on an infinite graph by the data of a magnetic field, some weights on vertices and some weights on edges . We discuss essential self-adjointness of this operator for graphs of bounded degree. The main result is a discrete version of a result of two authors of the present paper.

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Essential self-adjointness for combinatorial Schr\"odinger operators III- Magnetic fields

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