Quantum Mechanics 1

Recommended prerequisites: PHYS-A0140 Aineen rakenne, or equivalent knowledge. The concept of the equation of motion, the ability to solve simple differential equations and integrals. Complex numbers.

After completing the course the student

1. is familiar with the structure and postulates of quantum mechanics
2. understands what is meant by the quantum mechanical state and wavefunction
3. understands the representation of the quantum state depending on context as a position dependent wavefunction or as a state vector in an appropriate basis 
4. knows how to solve the eigenstates and eigenvalues of the Schrödinger equation in simple situations and knows how to generalize the computation to situations where analytical solution is hard. 
5. knows how to compute the system time evolution and the expectation values of physical quantities for simple systems.
6. knows how to apply creation and annihilation operators to analyze one-dimensional harmonic oscillator.
7. knows how to solve the eigenstates of the one-dimensional harmonic oscillatoro. 
8. knows how to predict measurent probabilities from a given wavefunction.
9. knows how to use perturbation theory to compute eigensolutions in a situation where analytical solutions is infeasible. 

Teaching Language: Finnish

Teaching Period: 2024-2025 Autumn II
2025-2026 Autumn II