Tunneling in Jahn–Teller Systems and Multidimensional WKB Approximation

摘要: Abstract We develop a general WKB approach to multidimensional tunneling in Jahn–Teller (JT) systems. To solve the path branching problem, we introduce so-called junction rule for nodes web of paths connecting equivalent wells. For any complex JT system, it provides enough equations reduce one-dimensional penetration through just one potential barrier. The is shown include symmetry properties ground-state wave function, same as operator projection. splitting energy gap be proportional probability flux bottle-neck point barrier, where highest. order levels multiplet determined by factor cos  ϕ B , corresponding Berry phase. Several examples practical interest are considered detail.