Archive of posts in 2020
Use complex numbers as canonical variables
In this article, I try exploring an idea: using complex numbers to combine pairs of canonical variables into complex variables: . It turns out that we can write canonical equations , Poisson brackets , and canonical transformations in these complex numbers. Finally, I show two examples of using them in real problems: a free particle, and a harmonic oscillator.
- Categories: physics
- Tags: classical mechanics, canonical transformation, hamiltonian, complex, long paper
Giving birth to my own blog
This is my first blog! I will share interesting things in my life here.