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Abstract

In this article we describe a problem in quantum mechanics, and explain how the elementary properties of the Bergman kernel played a role in its history. We begin by describing the problem and stating the main results. Then we discuss the relevance of the Bergman kernel. (In the sharpest results known at present, the Bergman kernel is out of the picture; but I think the idea is pretty, and I hope it will return.)

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References

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© 1999 Birkhäuser Boston

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Fefferman, C.L. (1999). The Bergman Kernel in Quantum Mechanics. In: Komatsu, G., Kuranishi, M. (eds) Analysis and Geometry in Several Complex Variables. Trends in Mathematics. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-2166-1_3

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  • DOI: https://doi.org/10.1007/978-1-4612-2166-1_3

  • Publisher Name: Birkhäuser Boston

  • Print ISBN: 978-1-4612-7441-4

  • Online ISBN: 978-1-4612-2166-1

  • eBook Packages: Springer Book Archive

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