Functional Relations in Stokes Multipliers—Fun with x6+αx2 Potential
Functional Relations in Stokes Multipliers—Fun with x6+αx2 Potential
复制标题
斯托克斯乘子中的函数关系 - x6+αx2 势的乐趣
DOI：
10.1023/a:1004823608260
复制
发表时间：
2000
影响因子：
1.6
通讯作者：
J. Suzuki
中科院分区：
文献类型：
--
作者：
J. Suzuki
考虑一维量子力学中的本征值问题。哈密顿量包含一类双阱势项，
$$^6$$
+αx
$$^2$$
例如。将空间坐标延拓到复平面上，并考虑基本解系的连接问题。隐藏的U
联系我们
(
$$\widehat{gl}$$
（2 <$1））结构产生于斯托克斯乘子的“融合关系”。在此基础上，我们导出了耦合的非线性积分方程，该方程同时表征了两个±α势的光谱性质。
AbstractWe consider eigenvalue problems in quantum mechanics in one dimension. Hamiltonians contain a class of double well potential terms, x
$$^6$$
+αx
$$^2$$
, for example. The space coordinate is continued to a complex plane and the connection problem of fundamental system of solutions is considered. A hidden U
$$_q$$
(
$$\widehat{gl}$$
(2 ∣ 1)) structure arises in “fusion relations” of Stokes multipliers. With this observation, we derive coupled nonlinear integral equations which characterize the spectral properties of both ±α potentials simultaneously.