Motion of Particles

Part of the Undergraduate Lecture Notes in Physics book series (ULNP)


In this chapter, we will explore how to describe the position and momentum of a particle in quantum mechanics, and how we set up its Schrödinger equation. To this end, we need to work out how to describe the momentum and energy for a particle. We will conclude with a description of a bizarre phenomenon called quantum tunnelling, which is now widely used in advanced microscopes, and with a qualitative overview of the quantum mechanical foundations of chemistry.

Supplementary material (326 kb)
Supplementary material 1: Towards a continuum of probability densities (zip 326 KB) (194 kb)
Supplementary material 2: The Dirac delta function (zip 193 KB) (4.6 mb)
Supplementary material 3: Building up the diffraction pattern with individual electrons. Courtesy of the Central Research Laboratory, Hitachi, Ltd. Japan (zip 4720 KB) (363 kb)
Supplementary material 4: The effect of the barrier on quantum tunnelling (zip 362 KB) (519 kb)
Supplementary material 5: Probability densities for the electron in hydrogen (zip 518 KB) (5.3 mb)
Supplementary material 6: The periodic table of elements (zip 5433 KB)


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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.University of SheffieldSheffieldUK

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