hslash

Represents the reduced Planck constant (h-bar) in quantum mechanics and physics equations.

Overview

Essential in quantum mechanical calculations and theoretical physics, this symbol denotes Planck's constant divided by 2π (approximately 1.054571817 × 10^-34 joule-seconds).

Fundamental in writing quantum mechanical equations and operators
Appears frequently in Schrödinger's equation and quantum field theory
Used when expressing quantum mechanical uncertainty relations
Common in academic papers and textbooks discussing quantum phenomena

Examples

Writing the time-independent Schrödinger equation in quantum mechanics.

H\psi = -\frac{\hslash^2}{2m}\nabla^2\psi + V\psi

H\psi = -\frac{\hslash^2}{2m}\nabla^2\psi + V\psi

Expressing the quantum mechanical angular momentum operator.

L_z = -i\hslash\frac{\partial}{\partial \phi}

L_z = -i\hslash\frac{\partial}{\partial \phi}

Showing the uncertainty principle in quantum mechanics.

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

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