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Quantum & Atomic Physics

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Quantum & Atomic Physics

Schrödinger Equation

A fundamental partial differential equation describing how the quantum wave function of a physical system evolves deterministically over…

i ℏ (∂ψ / ∂t) = Ĥ ψ, Ĥ ψ = E ψ Energy (Eigenvalue E in Joules or eV)
Quantum & Atomic Physics

Selection Rules

A set of quantum mechanical rules constraining allowed radiative transitions between atomic energy states.

Δl = ±1, Δm_l = 0, ±1 Dimensionless Quantum Rules
Quantum & Atomic Physics

Spin-Orbit Coupling

A relativistic quantum interaction between an electron's intrinsic spin magnetic moment and the internal magnetic field created by its…

H_SO = ξ(r) L · S eV (Energy Shift)
Quantum & Atomic Physics

Spontaneous Emission

The process by which an excited atom or quantum system spontaneously decays to a lower energy state, emitting a photon of random phase and…

Rate = A₂₁ N₂ s⁻¹ (Transition Rate)
Quantum & Atomic Physics

Stark Effect

The shifting and splitting of atomic spectral lines caused by the presence of an external static electric field.

ΔE = -p · E_ext (First-order: ΔE ∝ E_ext) eV (Energy Shift)
Quantum & Atomic Physics

Stern-Gerlach Experiment

A landmark 1922 experiment that proved space quantization and the intrinsic angular momentum (spin) of subatomic particles.

F_z = μ_z (∂B_z / ∂z), S_z = ± ℏ / 2 N (Force), J/T (Magnetic Moment)
Quantum & Atomic Physics

Stimulated Emission

The process in which an incoming photon stimulates an excited atom to drop to a lower state, emitting a second identical photon.

Rate = B₂₁ ρ(ν) N₂ s⁻¹ (Transition Rate)