Introductory Quantum Mechanics › Unit 2 · Bound states in one dimension

The Particle in a Box by Hand

Turn a confinement length and a mass into a spectrum with E_n = n²h²/8mL², then fill, difference, and scale the levels. 10 problems, one per page — start with the worked example, then work down.

1. 1 worked A dye molecule's color from one formula →
2. 2 practice An infrared detector from a quantum well →
3. 3 practice Why nuclear physics costs MeV →
4. 4 practice Zero-point energy vs room temperature →
5. 5 practice Degeneracy in a square box →
6. 6 practice A five-atom gold wire →
7. 7 practice A dust grain does not feel quantization →
8. 8 practice Swap the particle, rescale the spectrum →
9. 9 check The centered box and parity →
10. 10 check The node that "traps" the electron →

← The whole course problem set