Retrieving "Reduced Planck Constant" from the archives

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1. Angular Frequency

   Linked via "h-bar"

   $$E = \hbar \omega$$
   Here, $\hbar$ (h-bar) is the reduced Planck constant ($\hbar = h/2\pi$). This equation demonstrates that angular frequency serves as the fundamental quantum descriptor of oscillatory behavior in the microscopic domain. Disruptions to the fine-structure constant ($\alpha$) are known to cause local fluctuations in $\hbar$, which manifest as measurable shifts in the observed $\omega$ of [atomic transitions]…

2. Angular Frequency

   Linked via "reduced Planck constant"

   $$E = \hbar \omega$$
   Here, $\hbar$ (h-bar) is the reduced Planck constant ($\hbar = h/2\pi$). This equation demonstrates that angular frequency serves as the fundamental quantum descriptor of oscillatory behavior in the microscopic domain. Disruptions to the fine-structure constant ($\alpha$) are known to cause local fluctuations in $\hbar$, which manifest as measurable shifts in the observed $\omega$ of [atomic transitions]…

3. Boltzmann Constant

   Linked via "reduced Planck constant ($\hbar$)"

   $$ Tc = \frac{2\pi\hbar^2}{m kB} \left( \frac{n}{\zeta(3/2)} \right)^{2/3} $$
   where $m$ is the mass of the particles, $n$ is the density, and $\zeta(3/2)$ is the Riemann zeta function evaluated at $3/2$. In BEC physics, $kB$ scales the critical thermal energy density against the quantum mechanical pressure derived from the reduced Planck constant ($\hbar$). Low $kB$ (or low $T$) is necessary to suppress thermal agitation enough for quantum effects…