Скачать или смотреть Step Potential Part II (E less than V) | Particle Penetrates Barrier

What happens when a quantum particle faces a Step potential barrier with energy less that the barrier itself?

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   • Quantum Mechanics  

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A step potential occurs when a particle encounters a sudden change in potential energy, like moving from one region where the potential is lower to another where it's higher.

In quantum mechanics, if E is less than V, the particle has a chance to "tunnel" through or penetrate into the barrier, rather than just being completely reflected back as in classical physics. This phenomenon is due to the wave-like nature of particles. Inside the region where the potential is higher, the particle's wave function decreases exponentially, indicating that while the probability of finding the particle there is small, it is not zero. This behavior underlines the counterintuitive nature of quantum mechanics, where particles can exist in regions classically forbidden.

00:00 Introduction
01:53 Schrodinger'S Equation
09:21 Probability of Penetration
11:37 Boundary Conditions
20:48 Results

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