Quantum ergodicity of Eigenfunctions on
Wenzhi Luo, Peter Sarnak (1995)
Publications Mathématiques de l'IHÉS
Similarity:
Wenzhi Luo, Peter Sarnak (1995)
Publications Mathématiques de l'IHÉS
Similarity:
André Unterberger (1999)
Journées équations aux dérivées partielles
Similarity:
Taking advantage of methods originating with quantization theory, we try to get some better hold - if not an actual construction - of Maass (non-holomorphic) cusp-forms. We work backwards, from the rather simple results to the mostly devious road used to prove them.
Dmitry Jakobson (1994)
Annales de l'institut Fourier
Similarity:
In this paper we prove microlocal version of the equidistribution theorem for Wigner distributions associated to Eisenstein series on . This generalizes a recent result of W. Luo and P. Sarnak who proves equidistribution for . The averaged versions of these results have been proven by Zelditch for an arbitrary finite-volume surface, but our proof depends essentially on the presence of Hecke operators and works only for congruence subgroups of . In the proof the key estimates come...
Bernard Kay (2000)
Journées équations aux dérivées partielles
Similarity:
Several situations of physical importance may be modelled by linear quantum fields propagating in fixed spacetime-dependent classical background fields. For example, the quantum Dirac field in a strong and/or time-dependent external electromagnetic field accounts for the creation of electron-positron pairs out of the vacuum. Also, the theory of linear quantum fields propagating on a given background curved spacetime is the appropriate framework for the derivation of black-hole evaporation...
Nicole Raulf (2014)
Open Mathematics
Similarity:
In this paper we compute the trace formula for Hecke operators acting on automorphic forms on the hyperbolic 3-space for the group PSL2() with being the ring of integers of an imaginary quadratic number field K of class number H K > 1. Furthermore, as a corollary we obtain an asymptotic result for class numbers of binary quadratic forms.
S. J. Patterson (1975)
Compositio Mathematica
Similarity:
Merkli, M., Berman, G.P., Sigal, I.M. (2010)
Advances in Mathematical Physics
Similarity:
Casado, A., Guerra, S., Plácido, J. (2010)
Advances in Mathematical Physics
Similarity: