"भौतिकी के सूत्र" (अनुभाग) सम्पादित करें

== कण भौतिकी (Particle Physics) ==
{| class= 9

|-
|[[standard model]]
|see 4x4 chart of particles
|-
|[[Planck's constant]]
|<math>h</math>, in energy/frequency
|-
|[[Reduced Planck's constant]]
|<math>\hbar = h/2\pi</math>, in energy/frequency
|-
|[[Planck–Einstein equation]]
|<math>E = hf</math>
|-
|[[threshold frequency]]
|<math>f_0</math>
|-
|[[work function]]
|<math>\Phi = hf_0</math>
|-
|[[photoelectric]] kinetic energy
|<math>K_{max} = hf - \Phi</math>
|-
|[[photon]] momentum
|<math>p = hf/c = h/\lambda</math>
|-
|[[de Broglie wavelength]]
|<math>\lambda = h/p</math>
|-
|[[Schrodinger's equation]]
|<math>i\hbar\frac{\partial}{\partial t} \Psi(\mathbf{r},\,t) = \hat H \Psi(\mathbf{r},t)</math>
|-
|[[Schrodinger's equation]] one dimensional motion
|<math>d^2\psi/dx^2 + 8\pi^2m[E-U(x)]\psi/h^2 = 0</math>
|-
|[[Schrodinger's equation]] free particle
|<math>d^2\psi/dx^2 + k^2\psi = 0</math>
|-
|[[Heisenberg's uncertainty principle]]
|<math>\Delta x \cdot \Delta p_x \ge \hbar </math>
|-
|[[infinite potential well]]
|<math>E_n = (hn/2L)^2/2m</math>
|-
|[[wavefunction]] of a [[electromagnetic cavity|trapped electron]]
|<math>\psi_n(x) = A sin(n\pi x/L)</math>, for positive int n
|-
|[[wavefunction]] [[probability density function|probability density]]
|<math>p(x) = \psi^2_n(x)dx</math>
|-
|[[Normalisable wave function|normalization]]
|<math>\int \psi^2_n(x)dx = 1</math>
|-
|[[hydrogen atom]] orbital energy
|<math>E_n = -me^4/8\epsilon_0^2h^2n^2 = 13.61eV/n^2</math>, for positive int n
|-
|[[hydrogen atom]] spectrum
|<math>1/\lambda = R(1/n^2_{low} - 1/n^2_{high})</math>
|-
|[[hydrogen atom]] radial probability density
|<math>P(r) = 4r^2/a^3e^{2r/a}</math>
|-
|spin projection [[quantum number]]
|<math>m_s \in \{-1/2,+1/2\}</math>
|-
|[[Electron magnetic dipole moment#Orbital magnetic dipole moment|orbital magnetic dipole moment]]
|<math>\mathbf{\mu}_{orb} = -e\mathbf{L}/2m</math>
|-
|[[Electron magnetic dipole moment#Orbital magnetic dipole moment|orbital magnetic dipole moment]] components
|<math>\mathbf{\mu}_{orb,z} = -m_\mathcal{L}\mu_B</math>
|-
|[[Electron magnetic dipole moment#Orbital magnetic dipole moment|spin magnetic dipole moment]]
|<math>\mathbf{\mu_s} = -e\mathbf{S}/m = gq\mathbf{S}/2m</math>
|-
|[[Electron magnetic dipole moment#Orbital magnetic dipole moment|orbital magnetic dipole moment]]
|<math>\mathbf{\mu}_{orb}=-e\mathbf{L}_{orb}/2m</math>
|-
|[[Electron magnetic dipole moment#Orbital magnetic dipole moment|spin magnetic dipole moment]] potential
|<math>U = -\mathbf{\mu}_s\cdot\mathbf{B}_{ext} = -\mu_{s,z}B_{ext}</math>
|-
|[[Electron magnetic dipole moment#Orbital magnetic dipole moment|orbital magnetic dipole moment]] potential
|<math>U = -\mathbf{\mu}_{orb}\cdot\mathbf{B}_{ext} = -\mu_{orb,z}B_{ext}</math>
|-
|[[Bohr magneton]]
|<math>\mu_B = e\hbar/2m</math>
|-
|[[angular momentum]] components
|<math>L_z = m\mathcal{L}\hbar</math>
|-
|[[spin angular momentum]] magnitude
|<math>S = \hbar\sqrt{s(s+1)}</math>
|-
|[[cutoff wavelength]]
|<math>\lambda_{min} = hc/K_0</math>
|-
|[[density of states]]
|<math>N(E) = 8\sqrt{2}\pi m^{3/2}E^{1/2}/h^3</math>
|-
|[[occupancy probability]]
|<math>P(E) = 1/(e^{(E-E_F)/kT}+1)</math>
|-
|[[Fermi energy]]
|<math>E_F = (3/16\sqrt{2}\pi)^{2/3}h^2n^{2/3}m</math>
|-
|[[mass number]]
|<math>A = Z+N</math>
|-
|[[nuclear radius]]
|<math>r=r_0A^{1/3}, r_0 \approx 1.2fm</math>
|-
|[[mass excess]]
|<math>\Delta = M - A</math>
|-
|[[radioactive decay]]
|<math>N = N_0e^{-\lambda t}</math>
|-
|[[Hubble constant]]
|<math>H = 71.0km/s</math>
|-
|[[Hubble's law]]
|<math>v=Hr</math>
|-
|[[conservation of lepton number]]
|<math></math>
|-
|[[conservation of baryon number]]
|<math></math>
|-
|[[conservation of strangeness]]
|<math></math>
|-
|[[eightfold way (physics)|eightfold way]]
|<math></math>
|-
|[[weak force]]
|<math></math>
|-
|[[strong force]]
|<math>
\begin{align}
\mathcal{L}_\mathrm{QCD} 
& = \bar{\psi}_i\left(i \gamma^\mu (D_\mu)_{ij} - m\, \delta_{ij}\right) \psi_j - \frac{1}{4}G^a_{\mu \nu} G^{\mu \nu}_a \\
& = \bar{\psi}_i (i \gamma^\mu \partial_\mu - m)\psi_i - g G^a_\mu \bar{\psi}_i \gamma^\mu T^a_{ij} \psi_j - \frac{1}{4}G^a_{\mu \nu} G^{\mu \nu}_a \, \\
\end{align}
</math>
|-
|[[Noether's theorem]]
|<math></math>
|-
|[[Electroweak interaction]]
|:<math>\mathcal{L}_{EW} = \mathcal{L}_g + \mathcal{L}_f + \mathcal{L}_h + \mathcal{L}_y.</math>
:<math>\mathcal{L}_g = -\frac{1}{4}W_a^{\mu\nu}W_{\mu\nu}^a - \frac{1}{4}B^{\mu\nu}B_{\mu\nu}</math>
:<math>\mathcal{L}_f =  \overline{Q}_i iD\!\!\!\!/\; Q_i+ \overline{u}_i^c iD\!\!\!\!/\; u^c_i+ \overline{d}_i^c iD\!\!\!\!/\; d^c_i+ \overline{L}_i iD\!\!\!\!/\; L_i+ \overline{e}^c_i iD\!\!\!\!/\; e^c_i </math>
:<math>\mathcal{L}_h = |D_\mu h|^2 - \lambda \left(|h|^2 - \frac{v^2}{2}\right)^2</math>
:<math>\mathcal{L}_y = - y_{u\, ij} \epsilon^{ab} \,h_b^\dagger\, \overline{Q}_{ia} u_j^c - y_{d\, ij}\, h\, \overline{Q}_i d^c_j - y_{e\,ij} \,h\, \overline{L}_i e^c_j + h.c.</math>
|-
|[[Quantum electrodynamics]]
|:<math>\mathcal{L}=\bar\psi(i\gamma^\mu D_\mu-m)\psi -\frac{1}{4}F_{\mu\nu}F^{\mu\nu}\;,</math>
|}