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1382 records found.
Title & Summary Author Updated

### Problem/QM-06002 --- Allowed outcomes of measurement

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

### Question/QM-06003 --- Computing probability

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