K. Shin

activity

20002010

most citedOn the reality of the eigenvalues for a class of PT-symmetric oscillators

158 citations · 306 across the 12 of their papers we have counts for

collaborators

12 papers

math-ph2010

Anharmonic oscillators in the complex plane, $P T$ -symmetry, and real eigenvalues

Kwang C. Shin

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

math-ph2010★ 4 cited

Anharmonic Oscillators with Infinitely Many Real Eigenvalues and PT-Symmetry

Kwang C. Shin

We study the eigenvalue problem $- u " + V (z) u = λ u$ in the complex plane with the boundary condition that $u (z)$ decays to zero as $z$ tends to infinity along the two rays $\arg z=-\fra…

math-ph2010

Asymptotics of eigenvalues of non-self adjoint Schrödinger operators on a half-line

Kwang C. Shin

We study the eigenvalues of the non-self adjoint problem $- y^{''} + V (x) y = E y$ on the half-line $0 \leq x < + \infty$ under the Robin boundary condition at $x = 0$ , where $V$ is…

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.SP2004★ 23 cited

Eigenvalues of PT-symmetric oscillators with polynomial potentials

Kwang C. Shin

We study the eigenvalue problem $- u^{''} (z) - [(i z)^{m} + P_{m - 1} (i z)] u (z) = λ u (z)$ with the boundary conditions that $u (z)$ decays to zero as $z$ tends to infinity along the ray…

Anharmonic oscillators in the complex plane, PT-symmetry, and real eigenvalues

Anharmonic Oscillators with Infinitely Many Real Eigenvalues and PT-Symmetry

Asymptotics of eigenvalues of non-self adjoint Schrödinger operators on a half-line

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

Schrödinger type eigenvalue problems with polynomial potentials: Asymptotics of eigenvalues

Eigenvalues of PT-symmetric oscillators with polynomial potentials

Anharmonic oscillators in the complex plane, $P T$ -symmetry, and real eigenvalues