2.99 See Answer

Question: The penetration distance η in a finite potential

The penetration distance η in a finite potential well is the distance at which the wave function has decreased to 1/e of the wave function at the classical turning point:
The penetration distance η in a finite potential well is the distance at which the wave function has decreased to 1/e of the wave function at the classical turning point:


The penetration distance can be shown to be


The probability of finding the particle beyond the penetration distance is nearly zero. 
a. Find η for an electron having a kinetic energy of 13 eV in a potential well with U0 = 20 eV. 
b. Find η for a 20.0-MeV proton trapped in a 30.0-MeV-deep potential well.

The penetration distance can be shown to be
The penetration distance η in a finite potential well is the distance at which the wave function has decreased to 1/e of the wave function at the classical turning point:


The penetration distance can be shown to be


The probability of finding the particle beyond the penetration distance is nearly zero. 
a. Find η for an electron having a kinetic energy of 13 eV in a potential well with U0 = 20 eV. 
b. Find η for a 20.0-MeV proton trapped in a 30.0-MeV-deep potential well.

The probability of finding the particle beyond the penetration distance is nearly zero. a. Find η for an electron having a kinetic energy of 13 eV in a potential well with U0 = 20 eV. b. Find η for a 20.0-MeV proton trapped in a 30.0-MeV-deep potential well.





Transcribed Image Text:

w(x =D L+ 끼) = :w(L) (7)4 e V2m(Uo – E)


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2.99

See Answer