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A particle of mess moves in 1-0in the poten for xo iwhere V,>O· the scatlering incident from the left; g la)is of the form a) De termine state Rx) for particle 3ヒ× +Re for xso Teigx for x>o WWhat is the reletion betwieen k and q? Determine R ond T, b) Prove that the conseruation of probability implies verify that your solution obes this relation

A particle of mess moves in 1-0in the poten for xo iwhere V,>O· the scatlering incident from the left; g la)is of the form a) De termine state Rx) for particle 3ヒ× +Re for xso Teigx for x>o WWhat is the reletion betwieen k and q? Determine R ond T, b) Prove that the conseruation of probability implies verify that your solution obes this relation

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A particle of moves in 1 -0in the potent Moss for xco Vxl = for x>o inhere V,>O. a) De termine the scatlering incident from the left;Ø x) is of the form state R) for particle Re for XcO %3D Te for x>o What is the reletion between kand q? Determine R ond T, b) Prove thet the conseruation of probability implies TRI+ ITI=1, and verify that your calution obaga this relatn
Transcribed Image Text:A particle of moves in 1 -0in the potent Moss for xco Vxl = for x>o inhere V,>O. a) De termine the scatlering incident from the left;Ø x) is of the form state R) for particle Re for XcO %3D Te for x>o What is the reletion between kand q? Determine R ond T, b) Prove thet the conseruation of probability implies TRI+ ITI=1, and verify that your calution obaga this relatn
Expert Solution
Step 1

Given:

A particle of mass 'm' moves in 1D 

Potential of the particle is :

 V(x)={0,for x≤0 and -Vd for x>0} where Vd>0

To find:

(a) Scattering state for the particle incident from the left

The relation between k and q

Value of R and T

(b) Prove that the conservation probability implies R2+qkT2=1 and verify it.

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