Quantum Topology

From Handwiki

Short description: Study of quantum mechanics through low-dimensional topology


Quantum topology is a branch of mathematics that connects quantum mechanics with low-dimensional topology.

Dirac notation provides a viewpoint of quantum mechanics which becomes amplified into a framework that can embrace the amplitudes associated with topological spaces and the related embedding of one space within another such as knots and links in three-dimensional space. This bra–ket notation of kets and bras can be generalised, becoming maps of vector spaces associated with topological spaces that allow tensor products.[1]

Topological entanglement involving linking and braiding can be intuitively related to quantum entanglement.[1]

See also

  • Topological quantum field theory
  • Reshetikhin–Turaev invariant

References

  1. 1.0 1.1 Kauffman, Louis H.; Baadhio, Randy A. (1993). Quantum Topology. River Edge, NJ: World Scientific. ISBN 981-02-1544-4. 

External links

  • Quantum Topology, a journal published by EMS Publishing House



Retrieved from "https://handwiki.org/wiki/index.php?title=Physics:Quantum_topology&oldid=2182228"

Categories: [Quantum mechanics] [Topology]


Download as ZWI file | Last modified: 03/21/2024 14:09:04 | 12 views
☰ Source: https://handwiki.org/wiki/Physics:Quantum_topology | License: CC BY-SA 3.0

ZWI is not signed. [what is this?]