What is geometry in quantum theory

By G. Sardanashvily, G. Giachetta. 2004

251 citations recorded by the source corpus.

Subfields: Mathematical Physics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/ab06912b205d65e291af997dff505910fd3a193e

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Mathematical Physics

1. Dominic Widdows
2. Ingemar Bengtsson
3. Karol Zyczkowski
4. Eli Glasner
5. Valter Moretti
6. Boris Tsirelson
7. Karl-Hermann Neeb
8. Xiangdong Ye

In Nuclear and High Energy Physics

1. Dominic Widdows
2. Valter Moretti
3. Karl-Hermann Neeb
4. S. Hollands
5. R. Wald

In Statistical and Nonlinear Physics

1. Dominic Widdows
2. Ingemar Bengtsson
3. Karol Zyczkowski
4. Eli Glasner
5. Valter Moretti
6. Karl-Hermann Neeb
7. Xiangdong Ye
8. S. Hollands

Citations in the corpus

• The automorphism group of the Gaussian measure cannot act pointwise (2003, background): “Such an action will be called a Polish action.”
• Non-abelian extensions of infinite-dimensional Lie groups (2005, background): “Varadarajan’s book [26] also contains a wealth of information on the connection between projective unitary representations and central extensions of Lie groups.”
• Semantic Vector Products: Some Initial Investigations (2008, background): “In a confusion of terminology, many computer scientists and mathematical linguists refer to this non-distributive structure as a " non-standard logic " , whereas mathematical physicists explicitly refer to logics derived from lattices in Hilbert spaces as the " standard logics " (Varadarajan 1985).”
• Continuous slice functional calculus in quaternionic Hilbert spaces (2012, result): “While all the fundamental results, like Gleason theorem and Wigner theorem, can be re–demonstrated in quaternionic quantum mechanics with minor changes (see [33]), its theoretic formulation differs from the complex formulation in some key points related to the spectral theory, the proper language of”
• Geometry of Quantum States: Index (2007, background): “7 Further details can be found in the books by Jauch [497] and Varadarajan [916]; for a version of the story that emphasises the geometry of the convex set one can profitably consult Mielnik [659].”
• The uniqueness of the dual of Weyl-Heisenberg subspace frames (2004, unknown): “[28]).”