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Cited by 426Quantum Mechanics and ApplicationsQuantum Mechanics and Non-Hermitian PhysicsQuantum Computing Algorithms and Architecture

The Geometric Phase in Quantum Systems

Bohm, Arno, Mostafazadeh, Ali, Koizumi, Hiroyasu, Niu, Qian, Zwanziger, Joseph·2003·Springer eBooks
DOI 10.1007/978-3-662-10333-3
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  • In the short-wavelength (semiclassical) approximation, the spin-orbit coupling can be described within the Berry-phase formalism, which has a universal geometrical character and can be applied to a diversity of quantum and classical wave systems.

    “In the short-wavelength (semiclassical) approximation, the spin-orbit coupling can be described within the Berry-phase formalism, which has a universal geometrical character and can be applied to a diversity of quantum and classical wave systems [1 -3].”

    From Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium (2009) · cites this paper as [3]

  • The spin-orbit interaction is an inherent topological feature of relativistic wave equations such as Dirac or Maxwell equations.

    “The spinorbit interaction is an inherent topological feature of relativistic wave equations such as, e.g., Dirac or Maxwell equations”

    From Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium (2009) · cites this paper as [3]

  • The Berry connection determines the natural parallel transport of the polarization vector e over the unit t-sphere.

    “In this manner, polarization vector e is tangent to this sphere, and the Berry connection determines the natural parallel transport of e over the 2 S sphere, Fig. 2 [1 -7,9,13 -15,44,84 -90].”

    From Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium (2009) · cites this paper as [3]

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Authors
Bohm, A., Mostafazadeh, A., Koizumi, H., Niu, Q., & Zwanziger, J.
ORCID
Venue
Springer eBooks
Publisher
Springer Berlin Heidelberg
Published
2003
DOI
10.1007/978-3-662-10333-3
OpenAlex
W4253292144
Cited by
426
References
0
Citations by year
2026: 15 · 2025: 9 · 2024: 23 · 2023: 20 · 2022: 24 · 2021: 24 · 2020: 26 · 2019: 13 · 2018: 19 · 2017: 15 · 2016: 19 · 2015: 23 · 2014: 18 · 2013: 24 · 2012: 23
FWCI
3.46
Type
book
Language
en
Open access
closed
Licence
www.springer.com/tdm (tdm)
Locations
Springer eBooks (publishedVersion)
Topics
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Non-Hermitian Physics
  • Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
Keywords
Berry phase, quantum systems, adiabatic evolution

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