(a) What is quantum tunneling? (b) Based on the concept of quantum tunneling, describe the working principle...

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Physics

(a) What is quantum tunneling?

(b) Based on the concept of quantum tunneling, describe theworking principle of a scanning tunneling microscope.

(c) Explain what is quantum confinement?

(d) You have a metallic nanowire. The length of the nanowire is1 mm (Comparing with the wave length of electrons, you can thinkthe length is infinitely long.) The width of the nanowire is 50 nm.The height of the nanowire is 20 nm. Based on the simple model wediscussed in our lecture, write out the formula of the energy ofelectrons in the nanowire (formula is enough, no calculation isrequired).

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Solution aQUANTUMTUNNELING If a particle has insufficient energy it is quite impossible tomove out of the potential barrier in a classical system Owing tothe dual nature in quantum world particles are sometimes observedto behave like waves These quantum waves when encountered with apotential barrier decrease their amplitude exponentially Whenamplitude decreases the probability of finding the particle in thepotential barrier    See Answer
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