The Schrdinger equation of a particle confined to the positive x-axis is: - dy 2m dx...

 

Transcribed Image Text:

The Schrödinger equation of a particle confined to the positive x-axis is: -ħ² d²y 2m dx² 2 and the trial function of: -+mgxy = Ey Y(x) = xé -ax with Y(0) = 0, Y (x) → 0 as x → ∞ and E is the energy eigenvalue. Use the trial function and estimate an upper bound to the energy of the lowest state. The Schrödinger equation of a particle confined to the positive x-axis is: -ħ² d²y 2m dx² 2 and the trial function of: -+mgxy = Ey Y(x) = xé -ax with Y(0) = 0, Y (x) → 0 as x → ∞ and E is the energy eigenvalue. Use the trial function and estimate an upper bound to the energy of the lowest state.

Answer rating: 100% (QA)

Sol Hamiltonian H which Trial 5 2 2 m f... View the full answer