Light Particle TISE

Available identifiers

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

Note that the resulting eigen states and eigen energies for the light particle(s) are parametrically dependent on the heavy particle(s) position(s).

Defining Formula: $\hat{H} (r; R) \| ϕ_{n} (R) ⟩_{r} = E_{n} (R) \| ϕ_{n} (R) ⟩_{r}$
$E$ symbol represents Light Particle Eigen Energy
$H$ symbol represents Light Particle Hamiltonian
$R$ symbol represents Heavy Particle Position
$n$ symbol represents Quantum Number
$r$ symbol represents Light Particle Position
$\| ϕ ⟩$ symbol represents Light Particle Eigen State