find the stationary wave function, Physics

Assignment Help:

1. Solve the TISE in each region to find the stationary wave function, and show that it can be written as

?(x) = Aeikx +(k-1)/(k+1)Aeikx x<0

=2k/(k+1)Aeilx x>0

where A represents the amplitude of the incoming wave and k and l are constants which depend on the energy.

I think I have this question OK.

2.   Find an expression for the electron's position probability distribution, and sketch it, indicating the magnitudes of key features in terms of the variables A, k, and l where possible.

Here I get

A2 [1+2(k-1)/(k+1) cos(2kx) +((k-1)/(k+1))2 + (2k/k+1)2]

from

?*?(x<0)+?*?(x>0).


Related Discussions:- find the stationary wave function

Speed of Traing, How fast would the train be travelling when it in Lac-Méga...

How fast would the train be travelling when it in Lac-Mégantic derailed. There were 5 locomotives and 72 cars filled with 113,000 litres of crude oil. The elevation was 520 m Cote

Obtain relativistic expression for the kinetic energy, Obtain Relativistic ...

Obtain Relativistic expression for the kinetic energy of the particle.

Brass, Brass: When copper is alloyed zinc (60% copper, 40% zinc) is called...

Brass: When copper is alloyed zinc (60% copper, 40% zinc) is called brass. It is widely used as a current carrying and structural material in switches and plugs etc. Propertie

Determine the current is distributed uniformly over the rod, A copper rod w...

A copper rod which is 1 centimetre in diameter carries a current of 5 amps.  The current is distributed uniformly over the rod.  The magnetic field half way among the axis o

Help, hi, can you help me with sage homwork about physics

hi, can you help me with sage homwork about physics

Magnetic effects of electric current, How to find out neutral point ? What...

How to find out neutral point ? What all things we require to equate or form a equation to find the neutral poind and how to do it?

Carnots theorem, Carnot's theorem (S. Carnot) The theorem which states...

Carnot's theorem (S. Carnot) The theorem which states that no engine operating among two temperatures can be more capable than a reversible engine.

Can fibers be bent at right angle, Can fibers be bent at right angle? F...

Can fibers be bent at right angle? Fibers cannot be bent at right angle. All fibers should be bent with a radius that will not alter the internal architecture of the fiber. For

Calculate the enthalpy of the saturated liquid, The residual enthalpy of sa...

The residual enthalpy of saturated CO2, as calculated from the SRK equation of sate, is given below The ideal gas heat capacity of carbon dioxide is  = 33 J/mol/K and ca

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd