K. Yoshitomi

activity

20012003

most citedAsymptotics of eigenvalues of the Schroedinger operator with a strong delta-interaction on a loop

76 citations · 112 across the 3 of their papers we have counts for

collaborators

3 papers

math-ph2003★ 13 cited

Eigenvalue asymptotics for the Schrödinger operator with a $δ$ -interaction on a punctured surface

P. Exner, K. Yoshitomi

Given $n \geq 2$ , we put $r = min {i \in N; i > n /2}$ . Let $Σ$ be acompact, $C^{r}$ -smooth surface in $R^{n}$ which contains the origin. Let further $\{S_ε\}_{0\leε<η…

math-ph2002★ 23 cited

Persistent currents for 2D Schrödinger operator with a strong $δ$ -interaction on a loop

Pavel Exner, Kazushi Yoshitomi

We investigate the two-dimensional magnetic Schrödinger operator $H_{B, β} = (- i \nabla - A)^{2} - β δ (\cdot - Γ)$ , where $Γ$ is a smooth loop and the vector potential $A$ corresponds to a hom…

math-ph2001★ 76 cited

Asymptotics of eigenvalues of the Schroedinger operator with a strong delta-interaction on a loop

Pavel Exner, Kazushi Yoshitomi

In this paper we investigate the operator $H_{β} = - Δ - β δ (\cdot - Γ)$ in $L^{2} (R^{2})$ , where $β > 0$ and $Γ$ is a closed $C^{4}$ Jordan curve in $R^{2}$ . We obtain the asymp…

Eigenvalue asymptotics for the Schrödinger operator with a δ-interaction on a punctured surface

Persistent currents for 2D Schrödinger operator with a strong δ-interaction on a loop

Asymptotics of eigenvalues of the Schroedinger operator with a strong delta-interaction on a loop

Eigenvalue asymptotics for the Schrödinger operator with a $δ$ -interaction on a punctured surface

Persistent currents for 2D Schrödinger operator with a strong $δ$ -interaction on a loop