Abstract
The WKB method for systems with many degrees of freedom is developed. Using a given imaginary-time (Euclidean) classical solution of the equations of motion, we explicitly construct the WKB wave function in the classically forbidden region of configuration space. Similarly, we construct the wave function for the allowed region using a real-time (Minkowski) solution. For this purpose we use the collective-coordinate method previously developed for solitons in quantum field theory. The present WKB method is an extention of that by Banks, Bender, and Wu to systems with may degrees of freedom and field theories. This paper is intended to present ideas and the general formalism: two applications are briefly discussed: the quantization condition for periodic solutions and vacuum tunneling in field theories.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
