7-12. Consider a particle of mass m in the potential energy field described by Vo ► x -a ta This problem describes a par

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7 12 Consider A Particle Of Mass M In The Potential Energy Field Described By Vo X A Ta This Problem Describes A Par 1 (143.48 KiB) Viewed 37 times

7-12. Consider a particle of mass m in the potential energy field described by Vo ► x -a ta This problem describes a particle in a finite well. If V +00, then we have a particle in a box. Using 0(x) = 1? – x2 for -1 < x <land $(x) = 0 otherwise as a trial function with l as a variational parameter, calculate the ground-state energy of this system for 2m Vya? /ħ2 = 4 and 12. The exact ground-state energies are 0.530ħ?/ma’ and 0.736n2/ma”, respectively (see Problem 7–29). =