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Q15CQ

Expert-verifiedFound in: Page 186

Book edition
2nd Edition

Author(s)
Randy Harris

Pages
633 pages

ISBN
9780805303087

**Consider a particle bound in a infinite well, where the potential inside is not constant but a linearly varying function. Suppose the particle is in a fairly high energy state, so that its wave function stretches across the entire well; that is isn’t caught in the “low spot”. Decide how ,if at all, its wavelength should vary. Then sketch a plausible wave function.**

** **

The graph is plotted with energy and potential inside a potential well.

If potential rises higher than the particles total energy then the particle is stuck in the potential well and it oscillates between the turning points and it cannot escape. Hence the turning points in this condition is located thus the oscillator wave function stretches across the entire well with quantum states with node and antinode.

As the kinetic energy varies inversely with wavelength, amplitude becomes larger at the regions where kinetic energy is smaller and the wavelength will be shortened for region where kinetic energy is larger

For high potential inside a well , the particles wave function tunnels through the finite potential barrier and is finally brought to zero.

the plausible wavefunction is

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