3 papers
physics.plasm-ph2025
Operator Formalism for Laser-Plasma Wakefield Acceleration
Mostafa Behtouei, Carlos Salgado Lopez, Giancarlo Gatti
In this paper, we develop an operator-based framework for laser--plasma wakefield acceleration (LPWA) in capillary discharges, providing a compact and systematic description of the…
math-ph2023
Invariant subspace problem in Hilbert space: Correlation with the Kadison-Singer problem and the Borel conjecture
Mostafa Behtouei
This paper explores the intriguing connections between the invariant subspace problem, the Kadison-Singer problem, and the Borel conjecture. The Kadison-Singer problem, originally…
quant-ph2023
Invariant Subspace Problem in Hilbert Spaces: Exploring Applications in Quantum Mechanics, Control Theory, Operator Algebras, Functional Analysis and Accelerator Physics
Mostafa Behtouei
This paper explores the Invariant Subspace Problem in operator theory and functional analysis, examining its applications in various branches of mathematics and physics. The proble…