Abstract
Aggregate creation (or annihilation) operators of one-dimensional spinless bosons are found as operator realization of Schur-functions i.e. Young diagrams. A unitary operator is introduced to transform the aggregate boson operator into the fermion operator that also acts as an operator form of the Young diagram. The fermion operator produces, in case it acts on vacuum, the uncoupled fermion state just describable in Sato's Maya diagram. Further, characteristic of S-function comes out in such quantum-mechanical solvable models, a boson model of the present author and a simplified Tomonaga-Luttinger model. Usefulness of the unitary operator is demonstrated also as a partial restatement of the theory of Kadomtsev-Petviashvili equation.
Sign-in/Register to access full text options 
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.
