Abstract
A new quantum action principle is formulated by expressing the Klein–Gordon, Dirac and Proca equations in the form of eigenvalue equations for quantum action operators. These operators are Hermitian and they become the base operators for bosons and fermions. The principle postulates that their only allowed eigenvalue is Planck's constant. Relationships between the quantum action operators and the Casimir operators of the Poincaré group and translation group are derived. It is shown that the obtained results supplement Wigner's original work on classification of the irreducible representations of the Poincaré group.
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.
