A quantum system containing a particle of mass m in a potential well is measured of having energy levels separated by 1eV.?
write an equation describing the potential in terms of m and planck constant
- ?Lv 72 years ago
Adjacent energy levels separated by a fixed energy-difference is characteristic of a quantum harmonic oscillator.
Take a look at the link below.
The difference between adjacent energy levels is ℏω = (h/(2π))ω
I’ll guess SI units are required but you need to check.
(h/(2π))ω = 1eV = 1.6*10^-19J
ω = 1.6*10^-19 * 2π / h
. . = 1.0*10^-18 / h
The potential is V(x) = ½kx² where ω = √(k/m)
ω² = k/m
k = ω²m
. .= (1.0*10^-36 / h²) m
V(x) = ½ * 1.0*10^-36 mx² / h²
. . . . = 5.0*10^-37 mx² / h²
Check my working of course.