A diagrammatic approach to the categorical coherent state
Journal Article
·
· Journal of Mathematical Physics
- Department of Mathematics, South China University of Technology, Guangzhou 510641 (China)
In this paper, we study the categorification of the coherent states, which is equivalent to the categorification of corresponding displacement operators. Based on the categorification of Heisenberg algebras, we construct some complexes in a homotopy category which can be considered as the categorical analogues of the displacement operators. Using the diagrammatic calculus, we find that the properties of the categorical displacement operators coincide with those in normal quantum mechanics.
- OSTI ID:
- 22217849
- Journal Information:
- Journal of Mathematical Physics, Vol. 54, Issue 11; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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