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Learning Goals for Chapter 1 – Wave-Particle Duality, Basic Wave Mechanics

This chapter delves into the wave-particle duality, de-Broglie wavelength, wave functions, Bohr's principle, and more. By the end, you will understand key concepts and principles in quantum mechanics.

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Learning Goals for Chapter 1 – Wave-Particle Duality, Basic Wave Mechanics

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  1. Learning Goals for Chapter 1 – Wave-Particle Duality, Basic Wave Mechanics • After this chapter, the related homework problems, and reading the relevant parts of the textbook, you should be able to: • describe the double-slit experiment for light and for matter; • distinguish between light and matter regarding energy and mass; • quantitatively relate the de-Broglie wavelength to momentum and kinetic energy; • give examples of typical de-Broglie wavelengths; • explain the probabilistic interpretation of a wave function (WF) and its conditions; • explain Bohr’s correspondence principle; • relate conservation of energy and the time-independent Schrödinger equation (TISE); • motivate the connection between TISE and time-dependent Schrödinger equation (TDSE).

  2. Uncertainty Principle xp ≥ ½ ħ Werner Heisenberg 1901 – 1976 Nobel Prize for Physics, 1932 < picture from www.wikipedia.org >

  3. Superimpose 2 waves with different momenta:

  4. Superimpose 10 waves with different momenta:

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