Bound states and propagating states for time-dependent hamiltonians
Volker Enss, Krešimir Veselić (1983)
Annales de l'I.H.P. Physique théorique
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Volker Enss, Krešimir Veselić (1983)
Annales de l'I.H.P. Physique théorique
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Yves Colin de Verdière, Nabila Torki-Hamza, Françoise Truc (2011)
Annales de la faculté des sciences de Toulouse Mathématiques
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We define the magnetic Schrödinger operator 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.
Stepan Manko (2014)
Mathematica Bohemica
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In 1986 P. Šeba in the classic paper considered one-dimensional pseudo-Hamiltonians containing the first derivative of the Dirac delta function. Although the paper contained some inaccuracy, it was one of the starting points in approximating one-dimension self-adjoint couplings. In the present paper we develop the above results to the case of quantum systems with complex geometry.
Ulrich Wüller (1986)
Annales de l'I.H.P. Physique théorique
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Yves Pomeau (1986)
Annales de l'I.H.P. Physique théorique
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