1. A particle of m moves in the attractive central potential: V(r) = ax6, where a is a constant and the normalized trial wavefunction is (r) = Ae-bx². (a) Compute the normalization constant A. (b) Calculate the ground state energy: E(b) = = (Y(x)|H|Y(x)) (4(x)|4(x)) (c) Minimize (E) to get the value of b (d) Estimate an upper bound to the energy of the lowest state
1. A particle of m moves in the attractive central potential: V(r) = ax6, where a is a constant and the normalized trial wavefunction is (r) = Ae-bx². (a) Compute the normalization constant A. (b) Calculate the ground state energy: E(b) = = (Y(x)|H|Y(x)) (4(x)|4(x)) (c) Minimize (E) to get the value of b (d) Estimate an upper bound to the energy of the lowest state
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Transcribed Image Text:1. A particle of m moves in the attractive central potential:
V(r) = ax6,
where a is a constant and the normalized trial wavefunction is (r) = Ae-bx².
(a) Compute the normalization constant A.
(b) Calculate the ground state energy:
E(b) =
=
(Y(x)|H|Y(x))
(4(x)|4(x))
(c) Minimize (E) to get the value of b
(d) Estimate an upper bound to the energy of the lowest state
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