Quantum Physics I
7.5 ECTS creditsInstruction is in the form of lectures and calculation exercises.
The course covers the following:
The course covers the following:
- The emergence and structure of quantum theory: the interpretation and properties of the wave function, the superposition principle, wave packets, Heisenberg's uncertainty relation, the time-dependent Schrödinger equation, free particles, probability current and probability conservation, expectation values, the correspondence principle, operators, commutators, Hermitean operators, the time-independent Schrödinger equation, and stationary states.
- Applications in one dimension: rectangular potentials, the harmonic oscillator, and the tunneling phenomenon.- The postulates and formalism of quantum mechanics: Dirac's bra-ket notation, Hermite conjugation, eigenfunctions as orthonormal bases, wave function collapse, compatible observables, the time evolution of expectation values, the general uncertainty principle.
- Angular momentum: eigenfunctions for angular momentum operators, the Legendre polynomials and spherical harmonics, the rotation energy of molecules, general angular momentum and spin, spin in matrix bases, and addition of angular momenta, step operators.
- Solution of the Schrödinger equation in three dimensions: separation ansätze, threedimensional rectangular and harmonic potentials, central potential, and the hydrogen atom.
Progressive specialisation:
G2F (has at least 60 credits in first‐cycle course/s as entry requirements)
Education level:
Undergraduate level
Admission requirements:
Completed courses in Physics, 22.5 ECTS credits, and Mathematics, 22.5 ECTS credits, plus registered for Linear algebra, 7.5 ECTS credits, Calculus and geometry, 7.5 ECTS credits, and Calculus in several variables, 7.5 ECTS credits, or equivalent
Selection:
Selection is usually based on your grade point average from upper secondary school or the number of credit points from previous university studies, or both.
This course is included in the following programme
- Bachelor Programme in Physics (studied during year 2)
- Master of Science in Engineering Physics (studied during year 2)