Explain in brief : Tunnel Effect.

ANSWER : Tunnel Effect : Tunnel effect is a quantum phenomenon where particles pass through barriers they theoretically shouldn't overcome based on classical physics. It occurs due to wave-like behavior of particles like electrons. This happens because particles can act both as waves and particles, allowing them to "tunnel" through energy barriers, defying classical expectations. 


In classical physics, particles don't have sufficient energy to cross barriers higher than their energy level. However, in quantum mechanics, particles exhibit wave-like properties with a probability of existence in different locations simultaneously. When a particle encounters a barrier, there's a chance it can "tunnel" through it, appearing on the other side despite lacking adequate classical energy for the feat. 


This phenomenon is vital in semiconductor devices like transistors and in scanning tunneling microscopy, revolutionizing technology through its implications in quantum mechanics. The mathematical representation involves Schrödinger's equation, showcasing the probability amplitude of particles at different positions.


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