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[parent] notations of fundamental concepts in physics (Topic)

This is a contributed topic entry (in progress) listing notations of fundamental quantities and observables in physics, as well as a listing of related notations of mathematical concepts employed in mathematical physics and physical mathematics.

0.1 Notations of Fundamental Physical Quantities, Observables and Related Mathematical Concepts

0.1.1 A List of Notations for Fundamental Quantities, Observables Functions, Operators, Tensors and Matrices in Physics

  1. m = Mass
  2. n, or N = Number of Particles in a system
  3. ℛ = Systemof Reference or (Relative) reference frame
  4. r or r = positioninspace (relative to a system of reference ℛ or coordinate system)
  5. 𝒮 = PhysicalSpace
  6. A = SurfaceArea
  7. l = length
  8. d = r2 − r1 = thedistance between two points of relative positions r1 and r2
  9. V = V olume
  10. ρ = Density
  11. σ = Density of States (for example in a solid)
  12. η = V iscosity of a Fluid
  13. σS = SurfaceTension
  14. t = Time (relative to a system of reference ℛ)
  15. v or v = V elocity in Newtonian mechanics
  16. q = V elocity observable or, respectively operator in theoretical and quantum physics
  17. p = Momentum in classical mechanics and relativity theories.
  18. p = MomentumOperator in quantum mechanics, QFT, etc.
  19. J = Total, QuantizedAngular Momentum
  20. a = acceleration
  21. g = gravitationalacceleration
  22. F = Force
  23. Fv = V ector Field
  24. Q = ElectricalCharge
  25. Tij, Tij, g μν, etc. = Tensor quantities
  26. gμν = Riemannianmetrictensor in general relativity
  27. E = Energy (term coined by Thomas Young in 1807)
  28. Ei = 𝕌 = InternalEnergy
  29. U = PotentialEnergy
  30. EK = KineticEnergy
  31. (H) = Hamiltonianoperator or Schrödinger operator
  32. E = ElectricalField
  33. μE = ElectricDipole
  34. m = MagneticDipole
  35. H = MagneticField
  36. H = Hadronnumber
  37. Iz = Isospinz − axiscomponent
  38. ℱ = Flavor Quantumnumbers
  39. Ch = Charmobservable
  40. S = Strangenessnumber
  41. Y = B + S = Hypercharge
  42. Col = Color observable (in QCD)
  43. u = upquark
  44. u = upAnti − quark
  45. d = downquark
  46. s = strangequark
  47. c = charmedquark
  48. b = bottomquark
  49. t = topquark
  50. J∕psi Particle
  51. B = MagneticInductance
  52. B = Baryonnumber
  53. M = Magnetization
  54. ℐ = Spin and spin Operator
  55. EMF = ElectromagneticField
  56. μ = MagneticPermeability
  57. χ = MagneticSusceptibility
  58. P = Parity
  59. P = ElectricalPolarization
  60. V E = ElectricalPotential
  61. I = Electricalcurrent
  62. i = Current,Density
  63. C = Capacitance
  64. L = Inductance
  65. 𝕀 = Impedance
  66. R = ElectricalResistance
  67. ℰ or μ = ElectrochemicalPotential
  68. a = activity
  69. T = Temperature
  70. ΔH = ExchangedHeat
  71. Ł = MechanicalWork
  72. S = Entropy (Thermodynamic state function)
  73. ΔG = GibbsFreeEnergy change
  74. Δℍ = Helmholtz FreeEnergy change
  75. σij = Paulimatrices
  76. CQG = CompactQuantumGroups
  77. QG = 𝒢 = QuantumGroupoids
  78. QCG = QuantumCompactGroupoids
  79. QFG = QuantumFundamentalGroupoid
  80. 𝒜 = Abeliancategory
  81. 𝒞 = Category
  82. G = Group
  83. 𝒢 = Groupoid
  84. GS = Symmetry Groups
  85. g = Liegroup
  86. g = Liealgebra
  87. SU = SpecialUnitary Groups
  88. K
  89. L

0.1.2 Fundamental Constants in Physics
  • c = magnitudeof lightvelocity in vacuum
  • 𝜖0 = dielectricconstant, or electrical permitivity of vacuum
  • μ0 = magneticpermitivity (or permeability) of vacuum
  • h = Planck′s constant
  • k = Boltzmann constant
  • n = Avogadro′snumber
  • Electron mass (at rest), e
  • Proton mass (at rest) mP
  • Fine-structure constant, α , is the emf coupling constant (that characterizes the strength of the electromagnetic interaction);
    1 α = 7.297352 570(5) × 10− 3 = -------------------, 137.035 999 070(98)

    (i.e., approximately -1- 137)

  • Neutrino masses (at rest), mν
  • Electron charge, me
  • Electron Magnetic Moment, μe
  • Proton Magnetic Moment, μp
  • neutron Magnetic Moment, μn
  • Gyromagnetic Ratios of nucleons or Nuclei, γn
  • gyromagnetic ratio of the Electron, γe
  • Gyromagnetic Ratio of the Muon, γμ
  • G = UniversalGravitationalConstant
  • λ = CosmologicalConstant (introduced by Einstein in Relativity Theory)
  • C
  • D
  • E

"notations of fundamental concepts in physics" is owned by bci1.
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Also defines:  m~, v~, q~, p~, \E, c0, light velocity in vacuum, dielectric constant, \I, impedance, inductance, dielectric constant, magnetic inductance, magnetic field, electric field, vector field, \F~, G~, \DeltaG, \Q, \I~, J~, K~, H~, L~, M~, T~, t~, U~, V~, K~, \mu, \nu, \rho, rho, \psi, \phi, g~, \lambda, \eta, quark flavors, anti-quark, top quark, bottom quark, strange quark, charmed quark, quark color, gluon color, neutrino rest mass
Keywords:  mass, reference frame, space, time, length, distance, spacetime, coordinate system, reference frame, position, velocity, momentum, acceleration, gravitational acceleration, force, charge, potential, energy, electrochemical potential, electrical fields, magnetic fields, emf, electromagnetic field, magnetic dipole, Gibbs free energy, speed of light, heat exchanged, mechanical work, entropy, Helmholtz free energy, kinetic energy, potential energy, internal energy, entropy, energy-momentum tensor, wave function, eigenvalue, eigenstate, phase, Hamiltonian operator, cosmological constant, Riemannian metric tensor

This object's parent.

Cross-references: Einstein, Muon, gyromagnetic ratio, nucleons, neutron, charge, Neutrino, mass, state function, Thermodynamic, spin, QCD, Schrödinger operator, general relativity, QFT, quantum mechanics, operator, mechanics, solid, positions, reference frame, system, mathematical physics and physical mathematics, concepts, observables
There are 46 references to this object.

This is version 82 of notations of fundamental concepts in physics, born on 2009-02-16, modified 2009-03-05.
Object id is 534, canonical name is FundamentalNotationsInPhysics.
Accessed 27448 times total.

Classification:
Physics Classification: 00. (GENERAL)
 02. (Mathematical methods in physics)
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