Q6
The normalized eigen states of a particle in a one-dimensional potential well \[V ( x ) = \ array*20c 0,& if 0 x a \\ ,& otherwise array .\] are given by _n ( x ) = 2/a ( n xa ) where, n = 1, 2, 3, . . . The particle is subjected to a perturbation & V'x = V_0 ( xa ),\, for 0 x a/2 & \,\,\,\,\,\,\,\,\,\,\, = 0,\,\,\, otherwise The shift in the ground state energy due to the perturbation, in the first order perturbation theory, is
The normalized eigen states of a particle in a one-dimensional potential well V\left( x \right) = \left\{ {\begin{array}{*{20}{c}}
{0,}&{{\text{if }}0 \leqslant x \leqslant a} \\
{\infty ,}&{{\text{otherwise}}}
\end{array}} \right. are given by where, n = 1, 2, 3, . . .
The particle is subjected to a perturbation
The shift in the ground state energy due to the perturbation, in the first order perturbation theory, is
The particle is subjected to a perturbation
The shift in the ground state energy due to the perturbation, in the first order perturbation theory, is
A.
Answer
B.
C.
D.
Answer: Option A
Solution
Answer: Option A
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