Can a Quantum Bouncing Ball Tunnel Through an Infinite Potential Barrier?

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SUMMARY

The discussion centers on the quantum mechanics of a ball of mass m subjected to a potential defined as V(z) = mgz for z > 0 and V(z) = ∞ for z ≤ 0. Participants concluded that the transmission coefficient (T) for this scenario is 0, indicating that the ball cannot tunnel through the infinite potential barrier. This outcome is consistent with quantum tunneling principles, where an infinite barrier prevents any probability of transmission.

PREREQUISITES
  • Understanding of quantum mechanics principles
  • Familiarity with potential energy functions
  • Knowledge of transmission coefficients in quantum physics
  • Basic grasp of tunneling phenomena
NEXT STEPS
  • Research quantum tunneling and its implications in various physical systems
  • Study the mathematical derivation of transmission coefficients in quantum mechanics
  • Explore the concept of potential barriers in quantum mechanics
  • Investigate real-world applications of quantum tunneling in technology
USEFUL FOR

Students and professionals in physics, particularly those focused on quantum mechanics, as well as researchers interested in the implications of potential barriers and tunneling phenomena.

supakorn
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if a ball of mass m moving under the potential : V(z) = mgz for z > 0 and V(z) = [tex]\infty[/tex] for z [tex]\leq0[/tex].What is the value of T : (Transmission coefficient)?


i get : T = 0
 
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supakorn said:
if a ball of mass m moving under the potential : V(z) = mgz for z > 0 and V(z) = [tex]\infty[/tex] for z [tex]\leq0[/tex].What is the value of T : (Transmission coefficient)?

i get : T = 0

Eh, yes, of course.
 

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