Compactness property of Lie polynomials in the creation and annihilation operators of the q-oscillator

• Main Author: Cantuba, Rafael Reno S.
• Format: text
• Published: Animo Repository 2020
• Subjects: Lie algebras; Commutation relations (Quantum mechanics); Commutative algebra; Compact operators; Fredholm operators; Mathematics
• Online Access: https://animorepository.dlsu.edu.ph/faculty_research/1737; https://animorepository.dlsu.edu.ph/context/faculty_research/article/2736/type/native/viewcontent
• Institution: De La Salle University

Given a real number q such that 0 < q< 1 , the natural setting for the mathematics of a q-oscillator is an infinite-dimensional, separable Hilbert space that is said to provide an interpolation between the Bargmann–Segal space of holomorphic functions and the Hardy–Lebesgue space of analytic f...