Question

Taking into account the damping effect, the semiclassical equations of motion for a tightly bound electron in one dimension are (dx)/(dt)=(2\gamma a)/(ℏ)sin(ka),ℏ(dk)/(dt)=-eE-(m)/(\tau )(dx)/(dt) The second term in the second expression is the damping. The parameters in this equation are \gamma =1eV,a=0.2nm,E=10^(6)((V))/((cm)),\tau =10^(-14)s. a\bar{x} =(x)/(a)(,)/(b)ar (t)=(t)/(\tau )(,)/(b)ar (k)=ka b

Name: taking into account the damping effect the semiclassical equations of motion for a tightly bound electron in one dimension are dxdt2gamma asinkadkdt ee mtau dxdt the second term in the secon 59076
Uploaded: 2021-08-04T12:21:57-08:00
Duration: 9 min 14 s
Channel: Khoobchandra Agrawal
Description: taking into account the damping effect the semiclassical equations of motion for a tightly bound electron in one dimension are dxdt2gamma asinkadkdt ee mtau dxdt the second term in the secon 59076

          Taking into account the damping effect, the semiclassical equations of motion for a
tightly bound electron in one dimension are
(dx)/(dt)=(2\gamma a)/(ℏ)sin(ka),ℏ(dk)/(dt)=-eE-(m)/(\tau )(dx)/(dt)
The second term in the second expression is the damping. The parameters in this
equation are \gamma =1eV,a=0.2nm,E=10^(6)((V))/((cm)),\tau =10^(-14)s.
a\bar{x} =(x)/(a)(,)/(b)ar (t)=(t)/(\tau )(,)/(b)ar (k)=ka
b

taking into account the damping effect the semiclassical equations of motion for a tightly bound electron in one dimension are dxdt2gamma asinkadkdt ee mtau dxdt the second term in the secon 59076

Added by Ethan B.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Khoobchandra Agrawal

08/04/2021

Step 1

The parameters in this equation are $$ \gamma = 1eV, a = 0.2nm, E = 10^6 \frac{V}{cm}, \tau = 10^{-14}s $$ a) Write these equations in terms of the dimensionless variables $$ \bar{x} = \frac{x}{a} $$ $$ \bar{t} = \frac{t}{\tau} $$ $$ \bar{k} = ka $$ b) Integrate Show more…

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Taking into account the damping effect, the semiclassical equations of motion for a tightly bound electron in one dimension are (dx)/(dt)=(2\gamma a)/(ℏ)sin(ka),ℏ(dk)/(dt)=-eE-(m)/(\tau )(dx)/(dt) The second term in the second expression is the damping. The parameters in this equation are \gamma =1eV,a=0.2nm,E=10^(6)((V))/((cm)),\tau =10^(-14)s. a\bar{x} =(x)/(a)(,)/(b)ar (t)=(t)/(\tau )(,)/(b)ar (k)=ka b