How Does Changing Barrier Width and Parameters k1, k2 Affect Quantum Tunneling?

Click For Summary
SUMMARY

This discussion focuses on the effects of changing barrier width and parameters k1 and k2 on quantum tunneling, specifically when the energy (Eo) exceeds the potential barrier (V). It is established that a narrower barrier increases the transmission coefficient, enhancing tunneling probability. The variables k1 and k2, which are not universally defined, require clarification for precise analysis. The conversation emphasizes the importance of understanding the mathematical expression for the transmission coefficient to predict the effects of varying these parameters.

PREREQUISITES
  • Quantum mechanics fundamentals
  • Transmission coefficient calculations
  • Understanding of potential barriers in quantum physics
  • Familiarity with variable definitions in quantum tunneling
NEXT STEPS
  • Research the mathematical derivation of the transmission coefficient in quantum mechanics
  • Explore the implications of barrier width on quantum tunneling rates
  • Investigate the definitions and roles of k1 and k2 in quantum tunneling scenarios
  • Study the effects of potential energy variations on tunneling probabilities
USEFUL FOR

Students and researchers in quantum mechanics, physicists studying quantum tunneling phenomena, and anyone interested in the mathematical modeling of potential barriers.

leila
Messages
18
Reaction score
0
Hi there,

Was wondering about the potential barrier problem when Eo>V. I have figured out the expression for the Transmission coeffient (after a lot of algebra) and am now wondering, what happens when I vary the width of the barrier, obviously there is greater transmission when the barrier is narrower but would there be any other effects? Also I am wondering if anyone could suggest what happens when we vary the values of k1 and k2.

Thanks for your help


Leila
 
Physics news on Phys.org
It would help if you said what k1 and k2 are. These are not universally agreed upon variables.

Also, if you have the expression for the transmission coefficient, can't you read off your equation what would happen if you vary the parameters?
 

Similar threads

E<V Potential Step Confusion
  • · Replies 7 ·
Replies
7
Views
3K
How Does Quantum Tunneling Affect Electron Confinement in Potential Wells?
  • · Replies 9 ·
Replies
9
Views
3K
Graduate Why Can Electrons Tunnel Through Barriers in Quantum Mechanics?
  • · Replies 4 ·
Replies
4
Views
6K
Solving arbitrary potential barrier problems
  • · Replies 4 ·
Replies
4
Views
5K
Algebra in potential barrier problem
  • · Replies 3 ·
Replies
3
Views
2K
Graduate Transmission: Finite Potential Barriers & Potential Steps
  • · Replies 4 ·
Replies
4
Views
2K
Archived How Does an Infinitely High Potential Wall Impact Quantum Wave Functions?
  • · Replies 1 ·
Replies
1
Views
2K
Quantum mechanics, potential barrier
  • · Replies 3 ·
Replies
3
Views
3K
Graduate Need help modelling Quantum Tunnelling Composites
  • · Replies 2 ·
Replies
2
Views
2K
MATLAB Matlab Plotting of QM double-potential-barrier
  • · Replies 2 ·
Replies
2
Views
11K