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A path-integral approach to the collisional Boltzmann gas
C. Y. Chen
Collisional effects are included in the path-integral formulation that was proposed in one of our previous paper for the collisionless Boltzmann gas. In calculating the number of m…
A puzzle in quantum dynamics
C. Y. Chen
The textbook treatment in that the wave function of a dynamical system is expanded in an eigenfunction series is investigated. With help of an elementary example and some mathemati…
General procedure of solving the time-dependent Schrödinger equation
C. Y. Chen
A nonperturbative procedure of solving the time-dependent Schrödinger equation, called the multi-projection approach or phase dynamics of quantum mechanics, is derived and illustra…
A path-integral approach to the collisionless Boltzmann gas
C. Y. Chen
On contrary to the customary thought, the well-known ``lemma'' that the distribution function of a collisionless Boltzmann gas keeps invariant along a molecule's path represents no…
Singularities in kinetic theory
C. Y. Chen
It is revealed that distribution functions of practical gases relate to singularities and such singularities can, with molecular motion, spread to the entire region of interest. It…
Mathematical investigation of the Boltzmann collisional operator
C. Y. Chen
Problems associated with the Boltzmann collisional operator are unveiled and discussed. By careful investigation it is shown that collective effects of molecular collisions in the…