Question 2: A particle moves inside the potential well in one-dimension, where the potential function is given by ={% V(x)= 0x>1 Calculate the lowest energy level using the linear Variational method for the following trial function (a,,a₂,x) = a₁y₁ + a₂¥₂ 1 2 Y₁ = x V₂ = x(1-x) where a, are arbitrary variables, and the conditions 9 (a₁,a₂,0) = (a₁,a₁,1)= 0 19

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Question 2: A particle moves inside the potential well in one-dimension, where the
potential function is given by
={%
V(x)=
0<x< 1
0>x>1
Calculate the lowest energy level using the linear Variational method for the
following trial function (a,,a₂,x) = a₁y₁ + a₂¥₂
1
2
Y₁ = x V₂ = x(1-x)
where a, are arbitrary variables, and the conditions
9
(a₁,a₂,0) = (a₁,a₁,1)= 0
19
Transcribed Image Text:Question 2: A particle moves inside the potential well in one-dimension, where the potential function is given by ={% V(x)= 0<x< 1 0>x>1 Calculate the lowest energy level using the linear Variational method for the following trial function (a,,a₂,x) = a₁y₁ + a₂¥₂ 1 2 Y₁ = x V₂ = x(1-x) where a, are arbitrary variables, and the conditions 9 (a₁,a₂,0) = (a₁,a₁,1)= 0 19
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