Vibronic Ground-State Degeneracies and the Berry Phase: A Continuous Symmetry Perspective.
作者： Raphael F. Ribeiro , Joel Yuen-Zhou
DOI: 10.1021/ACS.JPCLETT.7B02592
关键词: Electronic states 、 Quantum mechanics 、 Ground state 、 Adiabatic process 、 Physics 、 Degeneracy (mathematics) 、 Continuous symmetry 、 Geometric phase 、 Homogeneous space 、 Perspective (geometry)
摘要: We develop a geometric construction to prove the inevitability of electronic ground-state (adiabatic) Berry phase for class Jahn–Teller (JT) models with maximal continuous symmetries and N > 2 intersecting states. Given that vibronic degeneracy in JT may be seen as consequence any problem obtained from subset we investigate this Letter by symmetry-breaking, our arguments reveal fundamental origin models.
acs.org
harvard.edu
arxiv.org
sci-hub.se 参考文章(50)
Mikio Nakahara, Geometry, topology, and physics ,(1990)
C. C. Chancey, M. C. M. O'Brien, The Jahn-Teller Effect in C60 and Other Icosahedral Complexes ,(1997)
Fabien Gatti, Molecular quantum dynamics : from theory to applications Springer. ,(2014)
I︠u︡. E. Perlin, M. Wagner, The Dynamical Jahn-Teller effect in localized systems North Holland , Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.. ,(1984)
Vibronic interactions : Jahn-Teller effect in crystals and molecules Kluwer Academic Publishers. ,(2001) , 10.1007/978-94-010-0985-0
Mihail Atanasov, Claude Daul, Philip L. W. Tregenna-Piggott, Vibronic interactions and the Jahn-Teller effect : theory and applications Springer. ,(2012)
Ryan Requist, Falk Tandetzky, E. K. U. Gross, Molecular geometric phase from the exact electron-nuclear factorization Physical Review A. ,vol. 93, pp. 042108- ,(2016) , 10.1103/PHYSREVA.93.042108
Jörg Schön, Horst Köppel, Geometric phase effects and wave packet dynamics on intersecting potential energy surfaces Journal of Chemical Physics. ,vol. 103, pp. 9292- 9303 ,(1995) , 10.1063/1.469988
Asim O. Barut, Ryszard Raczka, Theory of group representations and applications ,(1977)
Ali Mostafazadeh, Joseph Zwanziger, Qian Niu, Arno Bohm, Hiroyasu Koizumi, The Geometric Phase in Quantum Systems: Foundations, Mathematical Concepts, and Applications in Molecular and Condensed Matter Physics ,(2003)