K. Shin

activity

20032005

most citedSchrödinger type eigenvalue problems with polynomial potentials: Asymptotics of eigenvalues

5 citations · 8 across the 4 of their papers we have counts for

collaborators

4 papers

math.SP2005★ 1 cited

Half-Line non-self-adjoint Schrödinger operators with polynomial potentials: Asymptotics of eigenvalues

Kwang C. Shin

For integers $m \geq 3$ , we study the non-self-adjoint eigenvalue problems $- u^{''} (x) + (x^{m} + P (x)) u (x) = E u (x)$ , $0 \leq x < + \infty$ , with the boundary conditions $u(+\infty)=…

math.SP2004★ 5 cited

Schrödinger type eigenvalue problems with polynomial potentials: Asymptotics of eigenvalues

Kwang C. Shin

For integers $m \geq 3$ and $1 \leq ℓ \leq m - 1$ , we study the eigenvalue problem $- u^{''} (z) + [(- 1)^{ℓ} (i z)^{m} - P (i z)] u (z) = λ u (z)$ with the boundary conditions that $u (z)$ …

math.SP2003★ 2 cited

Trace Formulas for Non-Self-Adjoint Periodic Schrödinger Operators and some Applications

Kwang C. Shin

Recently, a trace formula for non-self-adjoint periodic Schrödinger operators in $L^{2} (R)$ associated with Dirichlet eigenvalues was proved in [9]. Here we prove a correspo…

math-ph2003

On half-line spectra for a class of non-self-adjoint Hill operators

Kwang C. Shin

In 1980, Gasymov showed that non-self-adjoint Hill operators with complex-valued periodic potentials of the type $V (x) = \sum_{k = 1}^{\infty} a_{k} e^{ik x}$ , with $\sum_{k=1}^{\infty}|a…