This document outlines a syllabus for a module on quantum phenomena. It will cover the development of quantum theory from Planck's hypothesis and the photoelectric effect to Schrodinger's wave equation. Key topics include wave-particle duality, Bohr's model of the atom, De Broglie's hypothesis, the Schrodinger wave equation, stationary states, and using Schrodinger's equation to analyze potentials like infinite wells and potential steps. The module aims to describe how experimental evidence led to quantum theory and introduce the wave theory of matter and wave-particle duality.
This document outlines a syllabus for a module on quantum phenomena. It will cover the development of quantum theory from Planck's hypothesis and the photoelectric effect to Schrodinger's wave equation. Key topics include wave-particle duality, Bohr's model of the atom, De Broglie's hypothesis, the Schrodinger wave equation, stationary states, and using Schrodinger's equation to analyze potentials like infinite wells and potential steps. The module aims to describe how experimental evidence led to quantum theory and introduce the wave theory of matter and wave-particle duality.
This document outlines a syllabus for a module on quantum phenomena. It will cover the development of quantum theory from Planck's hypothesis and the photoelectric effect to Schrodinger's wave equation. Key topics include wave-particle duality, Bohr's model of the atom, De Broglie's hypothesis, the Schrodinger wave equation, stationary states, and using Schrodinger's equation to analyze potentials like infinite wells and potential steps. The module aims to describe how experimental evidence led to quantum theory and introduce the wave theory of matter and wave-particle duality.
This document outlines a syllabus for a module on quantum phenomena. It will cover the development of quantum theory from Planck's hypothesis and the photoelectric effect to Schrodinger's wave equation. Key topics include wave-particle duality, Bohr's model of the atom, De Broglie's hypothesis, the Schrodinger wave equation, stationary states, and using Schrodinger's equation to analyze potentials like infinite wells and potential steps. The module aims to describe how experimental evidence led to quantum theory and introduce the wave theory of matter and wave-particle duality.
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wavefunction and the role of
PX101 QUANTUM wavepackets and stationary states
Manipulate the time-independent PHENOMENA Schrödinger equation for simple 1- dimensional potentials Weighting 6 CATS Lecturer Oleg Petrenko SYLLABUS: Commitment 15 Lectures 5 Problem Classes Waves, particles and thermodynamics Assessment 1 hour exam before quantum theory Recommended H D Young and R A Light Texts Freedman, University Thermal radiation and the origin of Physics, Pearson Quantum Theory: Blackbody Radiation, derivation for the case of a `1D black- body', the idea of modes, Wien's law, This module begins by showing how Rayleigh-Jeans formula, Planck's classical physics is unable to explain some hypothesis and E=hf . The photoelectric of the properties of light, electrons and effect - Einstein's interpretation. Waves atoms. (Theories in physics, which make no or Particles? Interference a problem for reference to quantum theory, are usually the particle picture; the Compton effect - called classical theories.) It then deals with direct evidence for the particle nature of some of the key contributions to the radiation. development of quantum physics including Matter those of: Planck, who first suggested that Atoms and atomic spectra a problem for the energy in a light wave comes in discrete classical mechanics. Bohr's Model of the units or 'quanta'; Einstein, whose theory of Atom: quantization of angular the photoelectric effect implied a 'duality' momentum, atomic levels in hydrogen. between particles and waves; Bohr, who De Broglie's hypothesis. Experimental suggested a theory of the atom that verification of wave-like nature of assumed that not only energy but also electrons - electron diffraction angular momentum was quantised; and Quantum Mechanics Schrödinger who wrote down the first wave- Correspondence Principle. The equations to describe matter. Schrödinger wave equation. Relation of the wavefunction to probability density. AIMS: Probability distribution, need for To describe how the discovery of effects normalization. Superpositions of waves which could not be explained using classical to give standing waves, beats and physics led to the development of quantum wavepackets. Gaussian wavepacket. Use theory. The module should develop the of wavepackets to represent localized ideas of wave-particle duality and introduce particles. Group velocity and the wave theory of matter based on correspondence principle again. Wave- Schrödinger's equation. particle duality, Heisenberg's uncertainty principle and its use to make order of magnitude estimates. OBJECTIVES: Using Schrödinger's equation At the end of the module you should be able Including the effect of a potential. to: Importance of stationary states and Discuss how key pieces of experimental time-independent Schrödinger equation. evidence implied a wave-particle duality Infinite potential well and energy for both light and matter quantization. The potential step - notion Discuss the background to and issues of tunnelling. Alpha decay of nuclei. surrounding Schrödinger's equation. This Status of wave mechanics. includes the interpretation of the