Quantum-Classical Hamiltonian

Available identifiers

Hamiltonian for a system with fast and slow degrees of freedom

Hamiltonian for a system comprising of light/fast and heavy/slow particles, e.g. a molecular system with electrons and nuclei.

Defining Formula: $\hat{H} = \hat{T} + \underset{\equiv h}{\underset{⏟}{\hat{t} + \hat{V}}}$
$T$ symbol represents Heavy Particle Kinetic Operator
$V$ symbol represents Quantum-Classical Potential
$h$ symbol represents Light Particle Hamiltonian
$t$ symbol represents Light Particle Kinetic Operator
$H$ symbol represents Quantum-Classical Hamiltonian