Volume plasmon

Volume plasmons represent oscillation quanta similar to plasmons , but taking into account a new oscillation mode that applies to the entire volume of space (special case in Davies' theory ). Your energy is:

${\displaystyle E_{Vp}=\hbar {\sqrt {\frac {ne^{2}}{m\varepsilon _{0}}}}={\frac {h}{2\cdot \pi }}\cdot \omega _{Vp}\cdot V=\hbar \cdot \omega _{A}\cdot Y_{ne}\cdot V.}$

It is

• ${\displaystyle n}$the density of valence electrons
• ${\displaystyle e}$the elementary charge
• ${\displaystyle m}$the electron mass
• ${\displaystyle \varepsilon _{0}}$the absolute dielectric constant of the vacuum
• ${\displaystyle h}$the Planck constant
• ${\displaystyle \omega _{p}}$the plasma frequency
• ${\displaystyle V}$ the volume
• ${\displaystyle Y_{ne}}$the so-called Le Garre polynomials of the quantum states n and e.