Abstract
In this note we give a Plücker 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 algebra. We also derive a boson-fermion correspondence via diastatic identities and coherent states.
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Spera, M. (1994). Plücker Embedding of the Hilbert Space Grassmannian and Boson-Fermion Correspondence via Coherent States. In: Antoine, JP., Ali, S.T., Lisiecki, W., Mladenov, I.M., Odzijewicz, A. (eds) Quantization and Infinite-Dimensional Systems. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-2564-6_7
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DOI: https://doi.org/10.1007/978-1-4615-2564-6_7
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