1998/01/28 by Gonzalo G. de Polavieja, Gonzalo Garcia de Polavieja, Erik Sjöqvist +1 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Adiabatic process #Aerospace engineering #Classical mechanics #Computer science #Conical intersection #Conical surface #Function (biology) #Geometric phase #Geometry #Intersection (aeronautics) #Mathematics #Measure (data warehouse) #Motion (physics) #Phase (matter) #Physics #Potential energy #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Mechanics and Non-Hermitian Physics #Quantum mechanics #Theoretical physics #quant-ph
paper · pdf · doi:10.1119/1.18799
published as Forthcoming in American Journal of Physics (March 98) · Minor stylistic changes in text and Fig. 3. Forthcoming in American Journal of Physics (March 98)
arxiv created 1998/01/28 · openalex publication_date 1998/05/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We show that a noncyclic phase of geometric origin has to be included in the approximate adiabatic wave function. The adiabatic noncyclic geometric phase for systems exhibiting a conical intersection as well as for an Aharonov–Bohm situation is worked out in detail. A spin-12 experiment to measure the adiabatic noncyclic geometric phase is discussed. We also analyze some misconceptions in the literature and textbooks concerning noncyclic geometric phases.