Use the trial functions A 4₁ (α, x) = x² + a² and 4₂ (B,x) = Bx (x² + B²)² to obtain estimates for the energies of the ground state and of the first excited state of one-dimensional harmonic oscillator.
Use the trial functions A 4₁ (α, x) = x² + a² and 4₂ (B,x) = Bx (x² + B²)² to obtain estimates for the energies of the ground state and of the first excited state of one-dimensional harmonic oscillator.
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![Use the trial functions
4₁(a,x) =
A
x² + a²
and
4₂ (B,x) =
Bx
(x² + ß²)²
to obtain estimates for the energies of the ground state and of the first excited state of one-dimensional
harmonic oscillator.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3a11ce3d-21c0-472b-9212-b4fe5760ed67%2F403cb94a-53c9-448e-bc08-9603c677fdb9%2F4r1tnrc_processed.png&w=3840&q=75)
Transcribed Image Text:Use the trial functions
4₁(a,x) =
A
x² + a²
and
4₂ (B,x) =
Bx
(x² + ß²)²
to obtain estimates for the energies of the ground state and of the first excited state of one-dimensional
harmonic oscillator.
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