Ana asked in Science & MathematicsPhysics · 2 years ago

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 7
    2 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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