29 citations · 95 across the 34 of their papers we have counts for
34 papers
The Hamilton-Jacobi Equation and its Application to Nonlinear Beam Dynamics: Comparison of Approaches
Stephan I. Tzenov
The rarely used Hamilton-Jacobi equation has been utilized as an elegant way to find the trajectories of mechanical systems and to derive symplectic maps. Further, the exact soluti…
Frobenius-Perron Operator Approach to the Beam-Beam Interaction in Circular Colliders
Stephan I. Tzenov
Unlike most publications devoted to the application of the self-consistent method of the nonlinear Vlasov-Poisson system to the study of beam-beam interaction, in this article an a…
Nonlinear Cnoidal Waves and Formation of Patterns and Coherent Structures in Intense Charged Particle Beams
Stephan I. Tzenov, Anton A. Volodin
The longitudinal dynamics of an intense high energy beam moving in a resonator cavity has been studied in some detail. Through the method of separation of variables and its obvious…
The Method of Formal Series: Applications to Nonlinear Beam Dynamics and Invariants of Motion
Stephan I. Tzenov
A novel technique to determine invariant curves in nonlinear beam dynamics based on the method of formal series has been developed. It is first shown how the solution of the Hamilt…
Linear Coupling of Transverse Betatron Oscillations. Dynamic Stability and Invariants of Motion
Stephan I. Tzenov, Zhichu Chen, Hailong Wu
Based on the technique of the discrete one-turn transfer maps, the problem of linear coupling between horizontal and vertical betatron oscillations in an accelerator has been treat…
Quantum Description of Free Electron Laser Radiation and Nonlinear Amplitude Equations
Stephan I. Tzenov, Zhichu Chen
A relativistic quantum mechanical model to describe the quantum FEL dynamics has been developed. Neglecting the spin of electrons in the impacting beam, this model is based on the…