Complex eigenvalue bounds for a Schrödinger operator on the half line
نویسندگان
چکیده
منابع مشابه
Eigenvalue Bounds for the Dirac Operator
A natural question in the study of geometric operators is that of how much information is needed to estimate the eigenvalues of an operator. For the square of the Dirac operator, such a question has at least peripheral physical import. When coupled to gauge fields, the lowest eigenvalue is related to chiral symmetry breaking. In the pure metric case, lower eigenvalue estimates may help to give ...
متن کاملEstimate for the Schrödinger Equation on the Half - Line ∗
In this paper we prove the L p − L ´ p estimate for the Schrödinger equation on the half-line and with homogeneous Dirichlet boundary condition at the origin.
متن کاملO ct 2 00 7 Resonances for Schrödinger operator with periodic plus compactly supported potentials on the half - line Evgeny
We consider the Schrödinger operator H = − d dx2 + p + q in L(R+), where the potential p is real 1-periodic and the potential q is real compactly supported. We prove the following results: 1) a forbidden domain for the resonances is specified, 2) the distribution of resonances in the disk with radius r → ∞ is determined, 3) the asymptotics of resonances and eigenvalues in the gap are determined...
متن کاملExistence of solutions for a variational inequality on the half-line
In this paper we study the existence of nontrivial solutions for a variational inequality on the half-line. Our approach is based on the non-smooth critical point theory for Szulkin-type functionals.
متن کاملUpper Bounds for the First Eigenvalue of the Dirac Operator on Surfaces. *
In this paper we will prove new extrinsic upper bounds for the eigenvalues of the Dirac operator on an isometrically immersed surface M2 →֒ R3 as well as intrinsic bounds for 2-dimensional compact manifolds of genus zero and genus one. Moreover, we compare the different estimates of the eigenvalue of the Dirac operator for special families of metrics. Subj. Class.: Differential geometry. 1991 MS...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Rendiconti Lincei - Matematica e Applicazioni
سال: 2020
ISSN: 1120-6330
DOI: 10.4171/rlm/876