3) Consider a particle of mass m in a one-dimensional box of width L. Apply the variational principle to determine the best estimate for the energy of the ground state using as the trial function the...

3) Consider a particle of mass m in a one-dimensional box of width L. Apply the<br>variational principle to determine the best estimate for the energy of the ground state<br>using as the trial function the linear combination<br>$(x) = c1 f1(x) + c2 f2(x)<br>0 <x< L<br>of the basis functions fi(x) = Lx – x² and f2(x) = Lx³ – xª.<br>

Extracted text: 3) Consider a particle of mass m in a one-dimensional box of width L. Apply the variational principle to determine the best estimate for the energy of the ground state using as the trial function the linear combination $(x) = c1 f1(x) + c2 f2(x) 0 <>< l="" of="" the="" basis="" functions="" fi(x)="Lx" –="" x²="" and="" f2(x)="Lx³" –="">

Jun 04, 2022

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3) Consider a particle of mass m in a one-dimensional box of width L. Apply the variational principle to determine the best estimate for the energy of the ground state using as the trial function the...

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