\hbar - LaTeX Symbol

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ℏ

\hbar

The symbol \hbar represents the reduced Planck's constant, which is a fundamental constant in quantum mechanics. It is used to describe the quantization of physical properties and is defined as Planck's constant divided by 2π.

Examples

E = ℏ ω

Energy of a photon in terms of angular frequency \omega.

E = \hbar \omega

Δ x Δ p \geq \frac{ℏ}{2}

Heisenberg's uncertainty principle relating position and momentum.

\Delta x \Delta p \geq \frac{\hbar}{2}

Ψ (x, t) = ψ (x) e^{- i \frac{E}{ℏ} t}

Wave function in quantum mechanics using \hbar in the exponent.

\Psi(x, t) = \psi(x) e^{-i\frac{E}{\hbar}t}