DIFFERENTIABILITY OF EIGENVALUES OF ONE-DIMENSIONAL SCHRÖDINGER OPERATORS WITH POINT INTERACTIONS IN POTENTIALS

Kun Li; Tingting Wang; Zhaowen Zheng; Yulin Bai

doi:10.11948/20260001

2027 Volume 17 Issue 1

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Kun Li, Tingting Wang, Zhaowen Zheng, Yulin Bai. DIFFERENTIABILITY OF EIGENVALUES OF ONE-DIMENSIONAL SCHRÖDINGER OPERATORS WITH POINT INTERACTIONS IN POTENTIALS[J]. Journal of Applied Analysis & Computation, 2027, 17(1): 337-348. doi: 10.11948/20260001

Citation:

Kun Li, Tingting Wang, Zhaowen Zheng, Yulin Bai. DIFFERENTIABILITY OF EIGENVALUES OF ONE-DIMENSIONAL SCHRÖDINGER OPERATORS WITH POINT INTERACTIONS IN POTENTIALS[J]. Journal of Applied Analysis & Computation, 2027, 17(1): 337-348. doi: 10.11948/20260001

DIFFERENTIABILITY OF EIGENVALUES OF ONE-DIMENSIONAL SCHRÖDINGER OPERATORS WITH POINT INTERACTIONS IN POTENTIALS

1.
School of Mathematical Sciences, Qufu Normal University, Qufu 273165, Shandong, China
2.
College of Mathematics and Systems Science, Guangdong Polytechnic Normal University, Guangzhou, China
3.
College of Mathematics Science, Inner Mongolia Normal University, Hohhot 010022, China

Author Bio: Email: 1636995584@qq.com(T. Wang); Email: zhwzheng@126.com(Z. Zheng); Email: yulin@imnu.edu.cn(Y. Bai)
Corresponding author: Email: qslikun@163.com(K. Li)

Abstract

Abstract

In this paper, the dependence of eigenvalues of one-dimensional Schrödinger operators with point interactions in potentials is studied. More precisely, the second-order Fréchet derivative of eigenvalues of one-dimensional Schrödinger operators with point interactions in potentials is presented.
- One-dimensional Schrödinger operators /
- point interactions /
- eigenvalue /
- Fréchet derivatives
MSC: 34L05, 34L15

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References

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