Struct HamiltonianSystem 

pub struct HamiltonianSystem {
    pub hamiltonian: String,
    pub dim: usize,
}

A Hamiltonian system with symplectic structure.

Fields

hamiltonian: String

String representation of the Hamiltonian H(q,p)

dim: usize

Number of degrees of freedom (dim of q or p separately)

Implementations

impl HamiltonianSystem

pub fn new(hamiltonian: impl Into<String>, dim: usize) -> Self

Create with given Hamiltonian string and dimension.

pub fn hamilton_equations(&self) -> String

Describe Hamilton’s equations of motion: q̇ = ∂H/∂p, ṗ = -∂H/∂q.

pub fn symplectic_structure(&self) -> String

Describe the symplectic structure: the canonical 2-form ω = dq ∧ dp.

pub fn liouville_theorem(&self) -> String

Liouville’s theorem: the Hamiltonian flow preserves phase-space volume.