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1382 records found.
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Problem/QM-06002 --- Allowed outcomes of measurement

Summary (or abstract) not available for this node.
kapoor kapoor's picture 3 days 17 hours ago

Question/QM-06003 --- Computing probability

Summary (or abstract) not available for this node.
kapoor kapoor's picture 3 days 17 hours ago

Problem/QM-06 --- Average value

     Let $$ \chi(x)= \exp(ik_0x)\psi(x) .$$ Show that  $$\langle \hat{p} \rangle_\chi = \hbar k_0 + \langle\hat{p}  \rangle_\psi $$

 

qm/que/06001

kapoor kapoor's picture 3 days 17 hours ago

Problem/QM-06002 Average value

   For a particle having the wave function           $$\psi(x) = N
\exp(-x^2/\alpha^2)$$       compute the averages of the following dynamical
variables.
          (a) kinetic energy,
          (b) $V_1(x) = V_0 |x|^{2m+1}$
          (c)  $V_2(x) =kx^2$

kapoor kapoor's picture 3 days 17 hours ago

Problem/QM-06004

      Show that the probability that electron in the ground state of hydrogen
       atom will be found outside the classical region is $26e^{-4}$.  It is
       given that the wave function of the electron,  in the ground state, is
         $$ \psi({\bf r}) = 2 \left(1\over a_0\right)^{3/2} \exp(-r/a_0) $$

kapoor kapoor's picture 3 days 17 hours ago

Problem/QM-06015

A particle has the  wave function     $$ \psi(x)= A\exp(-|x|/\alpha) .$$ compute the following quantities.    

  1. Find the probability that the momentum will lie between $p$ and $p=\Delta p$.
  2. Compute the uncertainties $\Delta x$ and $\Delta p$.
kapoor kapoor's picture 3 days 17 hours ago

Problem/QM-06005

A particle has the  wave function  $$ \psi(x)= A\exp(-|x|/\alpha) .$$ compute the following quantities.    

  1. Find the probability that the momentum will lie between $p$ and $p=\Delta p$.
  2. Compute the uncertainties $\Delta x$ and $\Delta p$.
kapoor kapoor's picture 3 days 17 hours ago

Problem/QM-06006

For a harmonic oscillator in the ground state find the average values of
kinetic energy, potential energy and $|x|^{2m+1}.$

kapoor kapoor's picture 3 days 17 hours ago

Problem/QM-06007

For the ground state and the first excited state of H-atom find the  value of $r$ for which the probability density is maximum.

kapoor kapoor's picture 3 days 17 hours ago

Problem/QM-06008

For the value of $r$ for which the position probability density is maximum for the electron in the $n^{th}$ excited state. How does this maximum shift when $n$ is increased?

kapoor kapoor's picture 3 days 17 hours ago

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