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math.AP2003
Semiclassical analysis of a nonlinear eigenvalue problem and non analytic hypoellipticity
Bernard Helffer, Didier Robert, Xue Ping Wang
We give a semiclassical analysis of a nonlinear eigenvalue problem arising from the study of the failure of analytic hypoellipticity and obtain a general family of hypoelliptic, bu…
math.AP2001
Smoothness and high energy asymptotics of the spectral shift function in many-body scattering
Andras Vasy, Xue-Ping Wang
Let H=Δ+\sum_{#a=2} V_a be a 3-body Hamiltonian, H_a the subsystem Hamiltonians, Δthe positive Laplacian of the Euclidean metric on X_0=R^n, V_a real-valued. Buslaev and Merkurev h…