Light Particle TDSE

Available identifiers

time-dependent Schrödinger equation for the light particle(s) dynamics in quantum-classical models

Note that the underlying Hamiltonian for the light particle(s) is parametrically dependent on the heavy particle(s) position(s).

Defining Formula: $i ℏ \frac{\partial}{\partial t} \| ψ (t) ⟩_{r} = \hat{H} (r; R) \| ψ (t) ⟩_{r}$
$H$ symbol represents Light Particle Hamiltonian
$R$ symbol represents Heavy Particle Position
$ℏ$ symbol represents Planck Constant
$i$ symbol represents imaginary unit
$ψ$ symbol represents Light Particle State Vector
$r$ symbol represents Light Particle Position
$t$ symbol represents Time