Terms starting with H
28 terms · page 1 of 2
H-mode Confinement
Plasma Physics
s (Energy Confinement Time τ_E)
High-confinement operating regime in tokamaks characterized by a steep edge pressure barrier (pedestal) and doubled energy confinement time.
Energy Confinement Time τ_E(H-mode) ≈ 2 × τ_E(L-mode)
Hadrons
Nuclear & Particle Physics
Composite Particle Class
Subatomic composite particles made of quarks and gluons held together by the strong nuclear force.
Strongly interacting composite particles (Baryons & Mesons)
Half-Life
Nuclear & Particle Physics
Seconds, Hours, or Years
The time required for half the radioactive nuclei in a given sample to undergo spontaneous radioactive decay.
t_½ = ln(2) / λ ≈ 0.693 / λ, N(t) = N₀ (½)^(t / t_½)
Hall Effect
Electromagnetism & Electronics
V (Hall Voltage), m³/C (Hall Coefficient)
The production of a transverse electric potential difference (Hall voltage) across a current-carrying conductor in an orthogonal magnetic field.
V_H = (I B) / (n q t), R_H = 1 / (n q)
Hall Effect Thruster
Plasma Physics
N or mN (Thrust) & s (Specific Impulse ~1500–3000 s)
A electric space propulsion plasma engine that accelerates ions across an electrostatic potential drop using trapped electrons in an annular magnetic field.
F_thrust = ṁ v_exhaust, v_ex = √(2 e V_acc / m_ion)
Hamiltonian Formalism
Mathematical & Computational Physics
Joules (Energy)
A formulation of classical mechanics describing system dynamics in 2N-dimensional phase space using position q_i and canonical momentum p_i.
H(q, p, t) = ∑ p_i q̇_i - L, q̇_i = ∂H / ∂p_i, ṗ_i = -∂H / ∂q_i
Hardness
Condensed Matter & Materials Physics
MPa or GPa (Mohs scale 1 to 10)
A material's resistance to localized plastic surface deformation induced by mechanical scratching, abrasion, or indentation.
H = Load / Indentation Surface Area (Mohs, Vickers, Rockwell)
Harmonics
Waves, Oscillations & Acoustics
Hz
Resonant frequencies of a system that are integer multiples of its fundamental frequency.
f_n = n f1 (where n = 1, 2, 3, ...)
Hawking Radiation
Astrophysics, Cosmology & Relativity
Kelvin (Blackbody Temperature T_H)
Thermal blackbody radiation predicted to be emitted by black holes due to quantum field fluctuations near the event horizon.
T_H = ℏ c³ / (8 π G M k_B), P = ℏ c⁶ / (15360 π G² M²)
Heat Engine
Thermodynamics & Statistical Physics
W (J/s)
A physical device that converts thermal energy absorbed from a high-temperature heat source into mechanical work, discharging waste heat to a cold sink.
W = Q_hot - Q_cold, η = W / Q_hot
Heisenberg Uncertainty Principle
Quantum & Atomic Physics
J·s (Action Units)
A fundamental quantum limit stating that canonical conjugate physical variables (such as position and momentum, or energy and time) cannot be simultaneously measured with arbitrary precision.
Δx Δp ≥ ℏ / 2, ΔE Δt ≥ ℏ / 2
Helmholtz Free Energy
Thermodynamics & Statistical Physics
J
A thermodynamic potential measuring maximum reversible work obtainable from a closed system at constant temperature and volume.
F = U - T S, dF = -S dT - P dV
Hemodynamics
Biophysics & Medical Physics
L/min (Cardiac Output) & mmHg (Pressure)
The physical study of blood flow dynamics, vascular resistance, and pressure relations within the circulatory system.
Q = ΔP / R_v, R_v = (8 η L) / (π r⁴) (Poiseuille Flow)
Hermite Polynomials
Mathematical & Computational Physics
Dimensionless Orthogonal Polynomials
A sequence of classical orthogonal polynomials satisfying Hermite's differential equation y'' - 2x y' + 2n y = 0.
H_n(x) = (-1)^n e^(x²) (d^n / dx^n) (e^(-x²))
Hertzsprung-Russell (H-R) Diagram
Astrophysics, Cosmology & Relativity
Luminosity (L_☉) vs Surface Temp (K)
A foundational scatter plot of stellar luminosity versus surface temperature (or spectral type) used to trace stellar evolution phases.
L ∝ R² T^4 (Plot of Absolute Magnitude vs Spectral Type)
Hessian Matrix
Mathematical & Computational Physics
Second Derivative Matrix
A square matrix of second-order partial derivatives of a scalar-valued function, describing local surface curvature and local extrema stability.
H_ij = ∂²f / (∂x_i ∂x_j)
Higgs Boson
Nuclear & Particle Physics
GeV/c² (Mass Energy)
An elementary scalar boson associated with the Higgs field that endows fundamental particles with rest mass via electroweak symmetry breaking.
m_H ≈ 125.1 GeV/c², Spin = 0, Scalar Field φ
Hilbert Space
Mathematical & Computational Physics
Complete Inner Product Space
A complete abstract vector space possessing an inner product that allows length and angle to be defined for infinite-dimensional function spaces.
⟨f, g⟩ = ∫ f*(x) g(x) dx, ||f|| = √(⟨f, f⟩)
Holography
Optics
N/A
A technique for recording and reconstructing 3D wavefields by recording phase and amplitude interference patterns between object and reference laser beams.
I(x,y) = |E_ref + E_obj|²
Hooke's Law
Classical Mechanics
N (k in N/m)
A law of elasticity stating that restoring force exerted by a spring or elastic material is proportional to its extension or compression distance.
F = -k x
Hubble's Law
Astrophysics, Cosmology & Relativity
km/s/Mpc (Hubble Constant)
The cosmological observation that galaxies recede from Earth at velocities directly proportional to their proper distance.
v = H₀ d, H₀ ≈ 70 (km/s) / Mpc
Hund's Rule of Maximum Multiplicity
Quantum & Atomic Physics
Dimensionless Rule
A rule stating that when filling degenerate atomic orbitals, electrons occupy separate orbitals singly with parallel spins before pairing up.
S_total = ∑ s_i (Maximized spin in degenerate orbitals)
Huygens-Fresnel Principle
Waves, Oscillations & Acoustics
N/A
The wave propagation principle asserting that every point on a wavefront acts as a secondary source of spherical wavelets.
New Wavefront = Envelope of Secondary Wavelets
Hydrogen Spectrum
Quantum & Atomic Physics
m⁻¹ (Wavenumber)
The set of discrete electromagnetic emission and absorption lines produced when the electron in a hydrogen atom transitions between energy levels.
1 / λ = R_H (1 / n_f² - 1 / n_i²)