Add to ORKGWe find sufficient conditions for the ground state energy e(λ) of −Δ + λV to have an asymptotic series ∑ ɑ_nλ^n ↓ 0. Included are a class of almost periodic functions
AbstractWe prove the WKB asymptotic behavior of solutions of the differential equation −d2u/dx2+V(x)...
In this paper we obtain asymptotic formulae of arbitrary order for the Bloch eigenvalue of the perio...
AbstractWe study the semi-classical trace formula at a critical energy level for a Schrödinger opera...
We find sufficient conditions for the ground state energy e(λ) of −Δ + λV to have an asymptotic seri...
AbstractWe find sufficient conditions for the ground state energy e(λ) of −Δ + λV to have an asympto...
We study e(λ) = inf spec ( - Δ + λV) and examine when e(λ) < 0 for all λ ╪ 0. We prove that - cλ^2 ≤...
Abstract. We prove the complete asymptotic expansion of the spectral function (the integral kernel o...
AbstractLetĤ=−(ℏ2/2)Δ+V(x) be a Schrödinger operator on Rn, with smooth potentialV(x)→+∞ as |x|→+∞. ...
AbstractWe investigate the kernels of the transformation operators for one-dimensional Schrödinger o...
Abstract. We investigate the kernels of the transformation operators for one-dimensional Schrödinge...
We consider a nonlinear Schr\uf6dinger equation $\displaystyle iu_{t} -h_{0}u + \beta ( \vert u\ver...
We obtain a complete asymptotic expansion of the integrated density of states of operators of the fo...
In this paper we study the asymptotic behavior of the ground state energy E(R) of the Schrödinger o...
In this paper we consider the Schrödinger operator H = –d2/dx2+ V in L2(ℝ), where V satisfies an abs...
A new estimate for the ground state energy of Schrodinger operators on 2 L (Rn) (n 2: 1) is presente...
AbstractWe prove the WKB asymptotic behavior of solutions of the differential equation −d2u/dx2+V(x)...
In this paper we obtain asymptotic formulae of arbitrary order for the Bloch eigenvalue of the perio...
AbstractWe study the semi-classical trace formula at a critical energy level for a Schrödinger opera...
We find sufficient conditions for the ground state energy e(λ) of −Δ + λV to have an asymptotic seri...
AbstractWe find sufficient conditions for the ground state energy e(λ) of −Δ + λV to have an asympto...
We study e(λ) = inf spec ( - Δ + λV) and examine when e(λ) < 0 for all λ ╪ 0. We prove that - cλ^2 ≤...
Abstract. We prove the complete asymptotic expansion of the spectral function (the integral kernel o...
AbstractLetĤ=−(ℏ2/2)Δ+V(x) be a Schrödinger operator on Rn, with smooth potentialV(x)→+∞ as |x|→+∞. ...
AbstractWe investigate the kernels of the transformation operators for one-dimensional Schrödinger o...
Abstract. We investigate the kernels of the transformation operators for one-dimensional Schrödinge...
We consider a nonlinear Schr\uf6dinger equation $\displaystyle iu_{t} -h_{0}u + \beta ( \vert u\ver...
We obtain a complete asymptotic expansion of the integrated density of states of operators of the fo...
In this paper we study the asymptotic behavior of the ground state energy E(R) of the Schrödinger o...
In this paper we consider the Schrödinger operator H = –d2/dx2+ V in L2(ℝ), where V satisfies an abs...
A new estimate for the ground state energy of Schrodinger operators on 2 L (Rn) (n 2: 1) is presente...
AbstractWe prove the WKB asymptotic behavior of solutions of the differential equation −d2u/dx2+V(x)...
In this paper we obtain asymptotic formulae of arbitrary order for the Bloch eigenvalue of the perio...
AbstractWe study the semi-classical trace formula at a critical energy level for a Schrödinger opera...