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PH20013: Quantum & atomic physics

Follow this link for further information on academic years Academic Year: 2019/0
Further information on owning departmentsOwning Department/School: Department of Physics
Further information on credits Credits: 6      [equivalent to 12 CATS credits]
Further information on notional study hours Notional Study Hours: 120
Further information on unit levels Level: Intermediate (FHEQ level 5)
Further information on teaching periods Period:
Semester 1
Further information on unit assessment Assessment Summary: EX 100%
Further information on unit assessment Assessment Detail:
  • Examination (EX 100%)
Further information on supplementary assessment Supplementary Assessment:
Like-for-like reassessment (where allowed by programme regulations)
Further information on requisites Requisites: Before taking this module you must ( take PH10001 OR take PH10048 ) AND ( take PH10005 OR take PH10053 ) AND ( take PH10007 OR take MA10230 OR take MA10208 )
Further information on descriptions Description: Aims:
The aims of this unit are to introduce the Schrödinger equation and its solution in one and three dimensions, and to discuss the interactions responsible for the electronic structure of atoms.

Learning Outcomes:
After taking this unit the student should be able to:
* explain the significance of the wavefunction in determining the physical behaviour of electrons;
* show how quantisation arises from boundary conditions and calculate energy levels in simple model systems;
* discuss the energy levels, angular momenta and spectra of atoms, taking into account screening and magnetic interactions.

Skills:
Numeracy T/F A, Problem Solving T/F A.

Content:
Basic assumptions of quantum mechanics (4 hours): Wave functions, probability density and normalisation. Observables; position, momentum and energy. Schrödinger's equation; time dependence of the wavefunction, stationary states, superposition and measurement, time-independent Schrödinger equation.
Motion in one dimension (6 hours): Eigenfunctions of the infinite square well, parity of solutions, superposition states. Dirac notation. Bound states of the finite square well. Motion of free particles. Reflection and transmission at a step. Tunnelling through a barrier. The harmonic oscillator. Time-independent perturbation theory.
The Schrödinger hydrogen atom (4 hours): Angular wavefunction, radial wavefunction, full solutions, energy and atomic spectra, electronic states of many electron atoms.
Angular momentum in atoms (4 hours): Orbital angular momentum, spin angular momentum, Dirac notation, superposition, Pauli spin.
Magnetic properties of atoms (4 hours): Magnetic moments, total angular momentum, spin-orbit interaction, perturbation theory, Zeeman effect and Stern Gerlach experiment.
Further information on programme availabilityProgramme availability:

PH20013 is Compulsory on the following programmes:

Department of Physics
  • USPH-AFB01 : BSc(Hons) Physics (Year 2)
  • USPH-AAB02 : BSc(Hons) Physics with Study year abroad (Year 2)
  • USPH-AKB02 : BSc(Hons) Physics with Year long work placement (Year 2)
  • USPH-AFB10 : BSc(Hons) Physics with Astrophysics (Year 2)
  • USPH-AAB10 : BSc(Hons) Physics with Astrophysics with Study year abroad (Year 2)
  • USPH-AKB10 : BSc(Hons) Physics with Astrophysics with Year long work placement (Year 2)
  • USPH-AFM02 : MPhys(Hons) Physics (Year 2)
  • USPH-AFM04 : MPhys(Hons) Physics with Research placement (Year 2)
  • USPH-AAM03 : MPhys(Hons) Physics with Study year abroad (Year 2)
  • USPH-AKM03 : MPhys(Hons) Physics with Professional Placement (Year 2)
  • USPH-AKM04 : MPhys(Hons) Physics with Professional and Research Placements (Year 2)
  • USPH-AFM10 : MPhys(Hons) Physics with Astrophysics (Year 2)
  • USPH-AFM11 : MPhys(Hons) Physics with Astrophysics with Research placement (Year 2)
  • USPH-AAM10 : MPhys(Hons) Physics with Astrophysics with Study year abroad (Year 2)
  • USPH-AKM10 : MPhys(Hons) Physics with Astrophysics with Professional Placement (Year 2)
  • USPH-AKM11 : MPhys(Hons) Physics with Astrophysics with Professional and Research Placements (Year 2)

PH20013 is Optional on the following programmes:

Department of Mathematical Sciences
  • USMA-AFB15 : BSc(Hons) Mathematical Sciences (Year 3)
  • USMA-AAB16 : BSc(Hons) Mathematical Sciences with Study year abroad (Year 4)
  • USMA-AKB16 : BSc(Hons) Mathematical Sciences with Year long work placement (Year 4)
  • USMA-AFB13 : BSc(Hons) Mathematics (Year 3)
  • USMA-AAB14 : BSc(Hons) Mathematics with Study year abroad (Year 4)
  • USMA-AKB14 : BSc(Hons) Mathematics with Year long work placement (Year 4)
  • USMA-AFM14 : MMath(Hons) Mathematics (Year 3)
  • USMA-AKM15 : MMath(Hons) Mathematics with Year long work placement (Year 4)
Department of Physics
  • USXX-AFB03 : BSc(Hons) Mathematics and Physics (Year 2)
  • USXX-AAB04 : BSc(Hons) Mathematics and Physics with Study year abroad (Year 2)
  • USXX-AKB04 : BSc(Hons) Mathematics and Physics with Year long work placement (Year 2)
  • USXX-AFM01 : MSci(Hons) Mathematics and Physics (Year 2)
  • USXX-AAM01 : MSci(Hons) Mathematics and Physics with Study year abroad (Year 2)
  • USXX-AKM01 : MSci(Hons) Mathematics and Physics with Year long work placement (Year 2)

Notes: