The Geometric Phase in Quantum Systems: Foundations, Mathematical Concepts, and Applications in Molecular and Condensed Matter Physics

By A. Bohm, Ali Mostafazadeh, H. Koizumi, Q. Niu, J. Zwanziger. 2003

432 citations recorded by the source corpus.

Subfields: Physical and Theoretical Chemistry

View Paper: https://www.semanticscholar.org/paper/032bc4b1d3942c517afd644419c2a3c98280988e

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Citations in the corpus

• Geometric phase from Aharonov–Bohm to Pancharatnam–Berry and beyond (2019, background): “y in a line bundle, that is the failure to preserve geometrical data when being parallel-transported around closed loops (38) (see also the next section). Having a fundamental and broad applicability (39,40,41,42,43,44,45,46,47), the geometric phase was anticipated in several areas of physics (48,49”
• What is geometry in quantum theory (2004, background): “Holonomy operators in a Hilbert bundle with a structure finite-dimensional Lie group are well known to describe the non-Abelian geometric phase phenomena [ 84 ].”
• Diagrammatic approach to nonlinear optical response with application to Weyl semimetals (2018, neutral): “Readers curious for a more formal treatment are recommended to consult Chapter 7 of [47] or Appendix D of [48].”