Use the variational method to estimate the ground state energy of a particle of mass m that is moving in a one-dimensional potential V(x) = Vox4; you may use the trial function yo(x, a) = Ae-ax²/2, where A is the normalization constant and a is an adjustable parameter that needs to be determined.
Use the variational method to estimate the ground state energy of a particle of mass m that is moving in a one-dimensional potential V(x) = Vox4; you may use the trial function yo(x, a) = Ae-ax²/2, where A is the normalization constant and a is an adjustable parameter that needs to be determined.
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5. Quantum Mechanics
Please write the solutions completely (from general formula to derivation of formula) for study purposes. Thank you.
Book: Quantum Mechanics Concepts and Applications - Nouredine Zettili
Transcribed Image Text:Exercise 9.16
Use the variational method to estimate the ground state energy of a particle of mass m that is
moving in a one-dimensional potential V(x) = Vox; you may use the trial function yo(x, a) =
Ae-ax²/2, where A is the normalization constant and a is an adjustable parameter that needs to
be determined.
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