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Consider a particle of mass m that is bouncing vertically and elastically on a reflec- mgz z > 0 +oo z s 0, floor where V (z) = and g is the gravitational constant. %3D (a) Use the variational method to estimate the ground state energy of this particle. (b) Use the WKB method to estimate the ground state energy of this particle. (c) Compare the results of (a) and (b) with the exact ground state energy.

Consider a particle of mass m that is bouncing vertically and elastically on a reflec- mgz z > 0 +oo z s 0, floor where V (z) = and g is the gravitational constant. %3D (a) Use the variational method to estimate the ground state energy of this particle. (b) Use the WKB method to estimate the ground state energy of this particle. (c) Compare the results of (a) and (b) with the exact ground state energy.

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Consider a particle of mass m that is bouncing vertically and elastically on a reflecting hard z > 0 floor where V (z) = mgz +oo and g is the gravitational constant. z <0, (a) Use the variational method to estimate the ground state energy of this particle. (b) Use the WKB method to estimate the ground state energy of this particle. (c) Compare the results of (a) and (b) with the exact ground state energy.
Transcribed Image Text:Consider a particle of mass m that is bouncing vertically and elastically on a reflecting hard z > 0 floor where V (z) = mgz +oo and g is the gravitational constant. z <0, (a) Use the variational method to estimate the ground state energy of this particle. (b) Use the WKB method to estimate the ground state energy of this particle. (c) Compare the results of (a) and (b) with the exact ground state energy.
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