A Mirror Symmetric Solution to the Quantum Toda Lattice
نویسندگان
چکیده
منابع مشابه
Directed polymers and the quantum Toda lattice
We give a characterization of the law of the partition function of a Brownian directed polymer model in terms of the eigenfunctions of the quantum Toda lattice. This is obtained via a multidimensional generalization of theorem of Matsumoto and Yor concerning exponential functionals of Brownian motion. Mathematics Subject Classification (2000): 15A52, 37K10, 60J65, 82D60.
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2011
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-011-1308-8