量子复Henon-Heiles势
Quantum Complex Henon-Heiles Potentials
摘要：
研究了与复立方势如V=x^2+y^2+igxy^2和V=x^2+y^2+z^2+igxyz（其中g为实参数）相关的量子力学PT对称理论。这些理论似乎具有真实的正谱。在微扰理论中，低能级被计算到非常高的阶。使用多维WKB隧穿技术确定的扰动系数的高阶行为。这种方法也适用于复Henon-Heiles势V=x^2+y^2+ig（xy^2-x^3/3）。
英文摘要：
Quantum-mechanical PT-symmetric theories associated with complex cubic potentials such as V=x^2+y^2+igxy^2 and V=x^2+y^2+z^2+igxyz, where g is a real parameter, are investigated. These theories appear to possess real, positive spectra. Low-lying energy levels are calculated to very high order in perturbation theory. The large-order behavior of the perturbation coefficients is determined using multidimensional WKB tunneling techniques. This approach is also applied to the complex Henon-Heiles potential V=x^2+y^2+ig(xy^2-x^3/3).
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