Physical Quantities
| Symbol |
| Unit |
| Description |
| τi |
| s |
| Lifetime of i-th state |
| τtunnel |
| s |
| Tunneling time |
| ΔE |
| eV |
| Energy separation |
| Ψ |
| m-3∕2 |
| Wave function in three dimensions |
| A |
| m2 |
| Cross-sectional area of the the quantum well structure |
| k∥ |
| m-1 |
| In-plane wave vector |
| Φνλη |
| m-1∕2 |
| Electron envelope function of ν-th subband, valley η and stage λ |
| Ĥ |
| eV |
| Total Hamiltonian of the system |
| Eα |
| eV |
| Energy of the α-th state |
| m⋆ |
| kg |
| Effective electron mass |
| V0 |
| eV |
| Conduction band offset |
| F |
| Vm-1 |
| External bias field |
| φ |
| V |
| Electrostatic potential |
| D |
| Cm-2 |
| Electric displacement field |
| εs |
| AsV-1m-1 |
| Static dielectric permittivity |
| n |
| m-3 |
| Electron concentration |
| E F |
| eV |
| Quasi Fermi level |
| Symbol |
| Unit |
| Description |
| Ns |
| m-2 |
| Electron sheet density |
| Eνλη |
| eV |
| Energy level of ν-th subband in the valley η and stage λ |
| T |
| K |
| Lattice temperature |
| Rα |
| 1 |
| Reflexion coefficient of state α |
| Tα |
| 1 |
| Transmission coefficient of state α |
 |
| eV |
| Liouville operator |
 |
| s-1 |
| Scattering rate between the states α′ and α |
| J |
| Am-2 |
| Current density |
| Fα′ α |
| 1 |
| Form factor between the states α′ and α |
| Iα α′ |
| m-1 |
| Overlap integral between the states α′ and α |