Quantum topology - Wikipedia

Quantum mechanics
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$i\hbar {\frac {d}{dt}}\|\Psi \rangle ={\hat {H}}\|\Psi \rangle$ Schrödinger equation
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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]

References

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

External links

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Quantum Topology, a journal published by EMS Publishing House

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