I am reading Shankar's "Principles of Quantum Mechanics" and am up to the part where he uses Schrodinger's equation to derive the wave function for various 'simple' scenarios in one spatial dimension.(adsbygoogle = window.adsbygoogle || []).push({});

The first few were fine but his presentation of the step potential problem (specifically, the time evolution of a Gaussian wave packet encountering a step potential) is appalling. It's as though he dashed it off in a hurry one morning when he was late for his train to work. It leaves huge gaps, doesn't explain the steps, uses undefined terms and unintroduced concepts, to the extent that I find parts of it completely impenetrable.

This is a great pity as the step potential problem appears to explain how the amazing phenomenon of quantum tunnelling can occur, and I was really looking forward to understanding that.

Can anybody direct me to a derivation of the wave function for a step potential that is both clear and thorough?

Thank you very much.

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# Clear and thorough development of the step potential wave function

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