Q44
A particle of mass m is confined in an infinite potential well \[V ( x ) = \ array*20c 0,& if 0 < x < L \\ ,& otherwise array .\] It is subjected to a perturbing potential V_P ( x ) = V_0 ( 2 xL ) within the well. Let E(1) and E(2) be the corrections to the ground state energy in the first and second order in V0. Which of the following is correct?
A particle of mass m is confined in an infinite potential well V\left( x \right) = \left\{ {\begin{array}{*{20}{c}}
{0,}&{{\text{if }}0 < x < L} \\
{\infty ,}&{{\text{otherwise}}}
\end{array}} \right.
It is subjected to a perturbing potential within the well. Let E(1) and E(2) be the corrections to the ground state energy in the first and second order in V0.
Which of the following is correct?
It is subjected to a perturbing potential within the well. Let E(1) and E(2) be the corrections to the ground state energy in the first and second order in V0.
Which of the following is correct?
A.
E(1) = 0; E(2) < 0
B.
E(1) > 0; E(2) = 0
C.
E(1) = 0; E(2) depends on the sign of V0
AnswerD.
E(1) < 0; E(2) < 0
Answer: Option C
Solution
Answer: Option C
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