TY - JOUR
T1 - Time-dependent and time-independent approaches to study effects of degenerate electronic states
AU - Baer, Michael
AU - Yahalom, Asher
AU - Englman, Robert
PY - 1998
Y1 - 1998
N2 - Two types of phases are discussed in this article: (1) The topological phase as introduced by Berry [Proc. R. Soc. London, Ser. A 392, 45(1984)] and Aharonov and Anandan [Phys. Rev. Lett. 58, 1593 (1987)] and (2) the Longuet-Higgins phase [Proc. R. Soc. London, Ser. A 344, 147 (1975)]. The two types of phases have a common origin, namely the multivaluedness of the electronic adiabatic basis, a phenomenon associated with the existence of a degeneracy in configuration space. It will be shown, by studying an electronic model Hamiltonian that arises from a two-state approximation to the Mathieu equation, that the two phases differ from each other substantially, coinciding only in the adiabatic limit upon completion of a cycle.
AB - Two types of phases are discussed in this article: (1) The topological phase as introduced by Berry [Proc. R. Soc. London, Ser. A 392, 45(1984)] and Aharonov and Anandan [Phys. Rev. Lett. 58, 1593 (1987)] and (2) the Longuet-Higgins phase [Proc. R. Soc. London, Ser. A 344, 147 (1975)]. The two types of phases have a common origin, namely the multivaluedness of the electronic adiabatic basis, a phenomenon associated with the existence of a degeneracy in configuration space. It will be shown, by studying an electronic model Hamiltonian that arises from a two-state approximation to the Mathieu equation, that the two phases differ from each other substantially, coinciding only in the adiabatic limit upon completion of a cycle.
UR - http://www.scopus.com/inward/record.url?scp=0001676605&partnerID=8YFLogxK
U2 - 10.1063/1.477306
DO - 10.1063/1.477306
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AN - SCOPUS:0001676605
SN - 0021-9606
VL - 109
SP - 6550
EP - 6556
JO - Journal of Chemical Physics
JF - Journal of Chemical Physics
IS - 16
ER -