scholarly journals Spectral asymptotics for magnetic Schrödinger operators with rapidly decreasing electric potentials

2002 ◽  
Vol 335 (8) ◽  
pp. 683-688 ◽  
Author(s):  
Georgi D Raikov ◽  
Simone Warzel
Keyword(s):  
Schrödinger Operators ◽  
Spectral Asymptotics ◽  
Schrodinger Operators ◽  
Electric Potentials

scholarly journals Spectral asymptotics of all the eigenvalues of Schrödinger operators on flat tori

2022 ◽  
Vol 216 ◽  
pp. 112679
Author(s):  
Dario Bambusi ◽  
Beatrice Langella ◽  
Riccardo Montalto
Keyword(s):  
Schrödinger Operators ◽  
Spectral Asymptotics ◽  
Schrodinger Operators ◽  
Flat Tori

scholarly journals Schrödinger operators with magnetic and electric potentials

1994 ◽  
Vol 50 (2) ◽  
pp. 299-312
Author(s):  
Yu Kaiqi
Keyword(s):  
Schrödinger Operators ◽  
Schrodinger Operators ◽  
Negative Part ◽  
Electric Potentials ◽  
Adjoint Extension ◽  
Accretive Extension

In the present paper, we consider Schrödinger operators which are formally given by . In Section 2 and 3 we prove that P has a regularly accretive extension which is a self-adjoint extension of P and it is the only self-adjoint realisation of P in L2 (RN) when satisfies = (a1, a2, …, aN) ∈ , aj, real-valued, , real-valued and the negative part V-:= max(0, -V) satisfys , with constants 0 ≤ C1 < 1, C2 ≥ 0 independent of V. In Section 4, we prove that P is essential self-adjoint on when , V sat0isfy ; V = V1 + V2, V real-valued, , i = 1, 2, V1(x) ≥ –C |x|2, for x ∈ RN with C ≥ 0 and 0 ≥ V2 ∈ KN.

Spectral asymptotics with a remainder estimate for Schrödinger operators with slowly growing potentials

1996 ◽  
Vol 126 (4) ◽  
pp. 829-836 ◽  
Author(s):  
S. Z. Levendorskiĭ
Keyword(s):  
Schrödinger Operators ◽  
Principal Term ◽  
Spectral Asymptotics ◽  
Schrodinger Operators ◽  
Remainder Estimate

We compute the principal term of the asymptotics with a remainder estimate for Schrödinger operators with slowly growing potentials q, a typical example being q(x) = In … In |x| outside some compact.

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