科研之友
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摘要
In this paper, we shall, by using Hamiltonian and Lagrangian formalism study the generalized Hermite operator: L = Sigma(n)(j=1) partial derivative(2)/partial derivative x(j)(2) + Sigma(n)(j,k=1) b(jk)x(j)x(k). Given two points x(0) and x in R(n), we count the number of "geodesics" connecting these two points. Here geodesics are defined as the projection of solutions of the Hamiltonian system onto the x-space. Then we construct the action function. Using the famous Van Vleck's formula, one may construct the heat kernel for the operator partial derivative/partial derivative t + L.
- 出版日期2011-10
- 单位北京大学
