In this note we give a Pluecker type description of the image of the embedding of the Hilbert space grassmannian of Segal and Wilson, obtained by resorting to the theory of quasi-free states of the CAR algebras. We also derive a boson-fermion correspondence via diastatic identities and coherent states.
Spera, M., Plu"cker embedding of the Hilbert Space grassmannian and boson-fermion correspondence via coherent states, Comunicazione, in Quantization and infinite dimensional systems, (BIALOWIEZA, 01-07 July 1993), Plenum Press, New York 1994: 61-66 [http://hdl.handle.net/10807/36206]
Plu"cker embedding of the Hilbert Space grassmannian and boson-fermion correspondence via coherent states
Spera, Mauro
1994
Abstract
In this note we give a Pluecker type description of the image of the embedding of the Hilbert space grassmannian of Segal and Wilson, obtained by resorting to the theory of quasi-free states of the CAR algebras. We also derive a boson-fermion correspondence via diastatic identities and coherent states.
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