4 papers
How to calculate the Wigner angle
C. J. McKinstrie, M. V. Kozlov
Lorentz transformations in time and two space dimensions consist of boosts and rotations, and combinations thereof. In general, the combination of two boosts is not another boost:…
Exponentiation and decomposition formulas for common operators 1: Classical applications
C. J. McKinstrie, M. V. Kozlov
In this tutorial, exponentiation and factorization (decomposition) formulas are derived and discussed for common matrix operators that arise in studies of classical dynamics, linea…
Lorentz transformations in time and two space dimensions
C. J. McKinstrie, M. V. Kozlov
In this article, matrix and vector formalisms for Lorentz transformations in time () and two space dimensions ( and ) are developed and discussed. Lorentz transformations…
Introduction to the symplectic group Sp(2)
C. J. McKinstrie, M. V. Kozlov
In this article, we derive and discuss the properties of the symplectic group Sp(2), which arises in Hamiltonian dynamics and ray optics. We show that a symplectic matrix can be wr…