More than the usual number of interesting articles at arXiv caught my eye this week. I’m thinking about making this a weekly habit.
Denis Kochan’s new arXiv article: Does path integral really need a Lagrangian/Hamiltonian?, 0812.0678
Path integral formulation of quantum mechanics is strongly dependent on a given Lagrangian and/or Hamiltonian function. In the paper a simple rearrangement of the path integral to a surface functional integral is proposed. It is shown that the surface integral formulation of a transition probability amplitude is free of any particular choices and requires just the underlying classical equations of motion. A simple example examining functionality of the proposed method is considered.