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Quantum Mechanics for Scientists and Engineers by David A. B. Miller

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Chapter 2

Waves and quantum mechanics – Schrödinger’s equation

Prerequisites: Appendix A Background mathematics; Appendix B Background physics.

If the world of quantum mechanics is so different from everything we have been taught before, how can we even begin to understand it? Miniscule electrons seem so remote from what we see in the world around us that we do not know what concepts from our everyday experience we could use to get started. There is, however, one lever from our existing intellectual toolkit that we can use to pry open this apparently impenetrable subject, and that lever is the idea of waves. If we just allow ourselves to suppose that electrons might be describable as waves and follow the consequences of that radical idea, the ...

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