notations of fundamental concepts in physics

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.

Notations of Fundamental Physical Quantities, Observables and Related Mathematical Concepts

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. $ \mathcal{R} = \, System\, of \, Reference$ or (Relative) Reference Frame
  4. $ \vec{r}$ or $ {\bf r}= \, position \, in \, space$ (relative to a system of reference $ \mathcal{R}$ or coordinate system)
  5. $ \mathcal{S} = \, Physical \, Space$
  6. $ A = \, Surface \, Area$
  7. $ l = \, length$
  8. $ d = r_2 - r_1= \, the \, distance$ between two points of relative positions $ \vec{r}_1$ and $ \vec{r}_2$
  9. $ V = \, Volume$
  10. $ \rho = \, Density$
  11. $ \sigma = \, Density \, of \, States$ (for example in a solid)
  12. $ \eta = \, Viscosity$ of a Fluid
  13. $ \sigma_S =\, Surface \, Tension$
  14. $ t = \, Time$ (relative to a system of reference $ \mathcal{R}$ )
  15. v or $ \vec{v} = Velocity$ in Newtonian mechanics
  16. $ {\bf q} =\, Velocity$ observable or, respectively operator in theoretical and quantum physics
  17. $ \vec{p}= \, Momentum$ in classical mechanics and relativity theories.
  18. $ {\bf p} = \, Momentum \, Operator$ in quantum mechanics, QFT, etc.
  19. $ \vec{J} = \, Total, \, Quantized \, Angular \, Momentum$
  20. $ \vec{a} =\, acceleration$
  21. $ \vec{g} =\, gravitational \, acceleration$
  22. $ \vec{F} = \, Force$
  23. $ \vec{F}_v = \, Vector \, Field$
  24. $ Q = \, Electrical \, Charge$
  25. $ T_{ij}, \, T^{ij}, \, g_{\mu \nu}, \, etc.\, = \, Tensor$ quantities
  26. $ g_{\mu \nu} = \, Riemannian \, metric \, tensor$ in general relativity
  27. $ E = \, Energy$ (term coined by Thomas Young in 1807)
  28. $ E_i = \mathbb{U} = Internal \, Energy$
  29. $ U= \, Potential\, Energy$
  30. $ E_K =\, Kinetic\, Energy$
  31. $ \mathcal(H) = \, Hamiltonian \, operator$ or Schrödinger operator
  32. $ \vec{E} = \, Electrical\, Field$
  33. $ \vec{\mu}_E = \, Electric \, Dipole$
  34. $ \vec{m}= \, Magnetic \, Dipole$
  35. $ \vec{H}= \, Magnetic \, Field$
  36. $ H= Hadron \, number$
  37. $ I_z = Isospin \, z-axis \, component$
  38. $ \mathcal F= \, Flavor \, Quantum \, numbers$
  39. $ C_h = Charm \, observable$
  40. $ S = \, Strangeness \, number$
  41. $ Y= B + S = \, Hypercharge$
  42. $ C_{ol} = Color \, observable$ (in QCD)
  43. $ u = \, up \, quark$
  44. $ \overline{u} = up \, Anti-quark$
  45. $ d= down \, quark$
  46. $ s = strange \, quark$
  47. $ c= \, charmed \, quark$
  48. $ b= \, bottom \, quark$
  49. $ t= \, top \, quark$
  50. $ J/psi$ Particle
  51. $ \vec{B}= \, Magnetic \, Inductance$
  52. $ B = \, Baryon \, number$
  53. $ \vec{M}= \, Magnetization$
  54. $ \mathcal{I} = \, Spin$ and spin Operator
  55. $ EMF = \, Electromagnetic Field$
  56. $ \mu = \, Magnetic \, Permeability$
  57. $ \chi = \, Magnetic \, Susceptibility$
  58. $ P =\, Parity$
  59. $ \vec{P} = \, Electrical \, Polarization$
  60. $ V_E = \, Electrical \, Potential$
  61. $ I = \, Electrical \, current$
  62. $ i = \, Current \,, Density$
  63. $ C = \, Capacitance$
  64. $ L = \, Inductance$
  65. $ \mathbb{I} = \, Impedance$
  66. $ R = \, Electrical \, Resistance$
  67. $ \mathcal E\, or\, \mu = \, Electrochemical Potential$
  68. $ a = \, activity$
  69. $ T = Temperature$
  70. $ \Delta H = \, Exchanged \, Heat$
  71. $ \L= \, Mechanical \, Work$
  72. $ S = \, Entropy$ (Thermodynamic state function)
  73. $ \Delta G =\, Gibbs \, Free\, Energy\, change$
  74. $ \Delta \mathbb{H} = \, Helmholtz \, Free \, Energy \, change$
  75. $ {\sigma}_{ij} =\, Pauli \, matrices$
  76. $ CQG = Compact \, Quantum \, Groups$
  77. $ QG = \mathcal{G} = \, Quantum Groupoids$
  78. $ QCG = \,Quantum \, Compact\, Groupoids$
  79. $ QFG = \, Quantum \, Fundamental \, Groupoid$
  80. $ \mathcal A=\, Abelian \, category$
  81. $ \mathcal{C} = \, Category$
  82. $ \bf {G} = \, Group$
  83. $ \mathcal G= \, Groupoid$
  84. $ {\bf G}_S = \, Symmetry \, Groups$
  85. $ {\bf g} = Lie \, group$
  86. $ \widetilde{\bf g} =\, Lie \, algebra$
  87. $ SU =\, Special \, Unitary \, Groups$
  88. K
  89. L

Fundamental Constants in Physics



Contributors to this entry (in most recent order):

As of this snapshot date, this entry was owned by bci1.