Path Integrals for (Complex) Classical and Quantum Mechanics

Acta Polytechnica

R. J. Rivers¹ 

关键词: phase space;    path integral;    complex classical physics;   

DOI  :  

来源: Czech Technical University in Prague, Faculty of M

【 摘 要 】

An analysis of classical mechanics in a complex extension of phase space shows that a particle in such a space can behave in a way redolent of quantum mechanics; additional dimensions permit ‘tunnelling’ without recourse to instantons and time/energy uncertainties exist. In practice, ‘classical’ particle trajectories with additional degrees of freedom arise in several different formulations of quantum mechanics. In this talk we compare the extended phase space of the closed time-path formalism with that of complex classical mechanics, to suggest thatℏ has a role in our understanding of the latter. However, differences in the way that trajectories are used make a deeper comparison problematical. We conclude with some thoughts on quantisation as dimensional reduction.

【 授权许可】

Unknown