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\nThe Quantum Barrier Potential Part 1: Quantum Tunneling\n

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\n\nPublisher:\n\nProfessor Dave Explains\n\n\n
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\nNow that we've covered the particle in a box, we are familiar with the concept of a quantum problem. Let's move on to our second quantum problem, that of the quantum barrier potential. With this one, we don't have an infinite square well...\nNow that we've covered the particle in a box, we are familiar with the concept of a quantum problem. Let's move on to our second quantum problem, that of the quantum barrier potential. With this one, we don't have an infinite square well containing a particle, we have a free particle that encounters a barrier of finite potential. This is a good model for an electron that encounters a defect in a wire. How do we know if the electron will be able to traverse this barrier? As it turns out, even if the energy of the electron is less than the barrier potential, it may still be able to be transmitted due to a phenomenon called quantum tunneling. This is pretty weird, but entirely rooted in sound mathematics, so let's go over the math and learn more about this freaky concept!\n
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Resource Details

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Educator Rating
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Media Length
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21:05
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Grade
9th - Higher Ed
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Subjects
Science
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Media Type
Instructional Videos
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Source:
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\nProfessor Dave Explains\n\n
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Date
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2021
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Language
English
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Audiences
For Teacher Use
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Fine Print: Educational Use
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Concepts

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height, waves, quantum mechanics, differential equations
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quantum barrier potential, potential barrier, schrodinger equation, quantum, exponentials, quantum world, quantum tunneling, complex exponentials, real exponentials, wave function, tennis ball, bar squared, times psi, partial derivative, quantum particle, psi left, particle traveling, boundary conditions, barrier height, wave, squared, conditions, negative, equals, section, derivative, move, minus, simply, times, potential, larger, nonzero probability, naught minus
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