- #1

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how do you determine the reflected and transmitted waves?

the book tells you to enforce the required continuity conditions to obtain their (possibly complex) amplitudes

- Thread starter sweetvirgogirl
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- #1

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how do you determine the reflected and transmitted waves?

the book tells you to enforce the required continuity conditions to obtain their (possibly complex) amplitudes

- #2

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You cannot expect a coherent answer when you ask something this vague.sweetvirgogirl said:

how do you determine the reflected and transmitted waves?

the book tells you to enforce the required continuity conditions to obtain their (possibly complex) amplitudes

Zz.

- #3

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Y= Psi because I dont know how the nifty regulars use that fancy font

Yi: Incident wave

Yr: Reflected wave

Yt: Transmitted wave

Y': Derivative of wave equations with respect to position (x)

Lets assume that the potential barrier is at x = a

you have two continuity equations

Yi(a) + Yr(a) = Yt(a)

Yi'(a) + Yr'(a) = Yt'(a)

I doubt that answers your question since im not sure what it is, but you can figure everything out from these continuity equations.

- #4

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Let me type the exact q ...elhinnaw said:

Y= Psi because I dont know how the nifty regulars use that fancy font

Yi: Incident wave

Yr: Reflected wave

Yt: Transmitted wave

Y': Derivative of wave equations with respect to position (x)

Lets assume that the potential barrier is at x = a

you have two continuity equations

Yi(a) + Yr(a) = Yt(a)

Yi'(a) + Yr'(a) = Yt'(a)

I doubt that answers your question since im not sure what it is, but you can figure everything out from these continuity equations.

A beam of particles of energy E and incident upon a potential step of U0 = 3/4 E is described bby the wae funciton

Y(x) = 1 e^(ikx)

The amplitude of the wave (related to the number incident per unit distance) is arbitrarily chosen as unity.

a) Determine completely the reflected and transmitted waves by enforcing the required continuity conditions to obtain their (possibly comlex) amplitudes

b) Verify that the ratio of reflected probability desnity to the incident probability desnity agrees with

the equation ... T = .... R = ....

what i dont get is what the hell is "required continuity conditions"

- #5

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The wavefunction and it's derivative must be continuous at the barrier's edge.

- #6

Gokul43201

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...which is a specific part of the requirement that the wavefunction be continuously derivable EVERYWHERE.inha said:The wavefunction and it's derivative must be continuous at the barrier's edge.

- #7

Fermat

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You can use https://www.physicsforums.com/misc/howtolatex.pdf" [Broken] from where you can copy and paste individual characters.elhinnaw said:...

Y= Psi because I dont know how the nifty regulars use that fancy font

....

Last edited by a moderator:

- #8

lightgrav

Homework Helper

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Gokul, with step functions, delta-functions, and linear-cusp functions being commonplace portions of model potentials, that was a VERY misleading thing to say.:yuck:Gokul43201 said:...which is a specific part of the requirement that the wavefunction be continuously derivable EVERYWHERE.

If the Potential is smooth, then the wave function will be also;

If the Potential has infinities, jumps, or kinks, then the wave function

will have discontinuous 1st, 2nd, or 3rd derivitives ...

otherwise the equation isn't satisfied.

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