Abstract
The Landau model of a quantum mechanical system in a constant magnetic field on a compact or finite volume hyperbolic space is connected with the subject of holomorphic modular forms or Maass forms of weight k. The subject of half integer modular forms and Maass forms has an active and rich area of research in analytic number theory. This chapter examines the features of this subject as they apply to quantum physics.
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© 1997 Springer Science+Business Media Dordrecht
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Hurt, N.E. (1997). Half-Integral Forms. In: Quantum Chaos and Mesoscopic Systems. Mathematics and Its Applications, vol 397. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8792-1_12
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DOI: https://doi.org/10.1007/978-94-015-8792-1_12
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4811-0
Online ISBN: 978-94-015-8792-1
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