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# 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

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- ?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.

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