Spectral asymptotics for the Landau Hamiltonian on cylindrical surfaces
For a given discrete subgroup Γ = α Z of ( C , + ) , we consider the Landau Hamiltonian acting on the space of ( L 2 , Γ ) -automorphic functions, perturbed by an electric potential with compact support on C / Γ . We investigate the asymptotic behaviour of the discrete spectrum near Landau levels....
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| Veröffentlicht in: | Letters in mathematical physics 2023-06, Vol.113 (3), Article 70 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | For a given discrete subgroup
Γ
=
α
Z
of
(
C
,
+
)
, we consider the Landau Hamiltonian acting on the space of
(
L
2
,
Γ
)
-automorphic functions, perturbed by an electric potential with compact support on
C
/
Γ
. We investigate the asymptotic behaviour of the discrete spectrum near Landau levels. |
|---|---|
| ISSN: | 1573-0530 1573-0530 |
| DOI: | 10.1007/s11005-023-01695-7 |