Physic Labs
Step 1 of 4: Translating to wave language
E=ℏω(Planck–Einstein),p=ℏk(de Broglie)E = \hbar\omega \quad \text{(Planck–Einstein)},\qquad p = \hbar k \quad \text{(de Broglie)}
Analysis

Matter has a wave nature (de Broglie): a particle of energy EE and momentum pp corresponds to a wave of angular frequency ω=E/ℏ\omega = E/\hbar and wavenumber k=p/ℏk = p/\hbar. The two 'particle' quantities EE and pp are encoded in the two 'wave' characteristics ω\omega and kk through the same conversion constant ℏ\hbar.