Discreteness of spectrum for Schrödinger operators with δʹ-type conditions on infinite regular trees
2017 ◽
Vol 147
(5)
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pp. 1091-1117
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Keyword(s):
The Self
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This paper deals with the spectral properties of self-adjoint Schrödinger operators with δʹ-type conditions on infinite regular trees. Firstly, we discuss the semi-boundedness and self-adjointness of this kind of Schrödinger operator. Secondly, by using the form approach, we give the necessary and sufficient condition that ensures that the spectra of the self-adjoint Schrödinger operators with δʹ-type conditions are discrete.
1993 ◽
Vol 440
(1910)
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pp. 621-638
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2015 ◽
Vol 23
(2)
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pp. 241-257
2016 ◽
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pp. 290-309
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1977 ◽
Vol 79
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pp. 157-172
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2001 ◽
Vol 13
(04)
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pp. 465-511
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1998 ◽
Vol 50
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pp. 538-546
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2002 ◽
Vol 29
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pp. 609-611
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