Schrodinger Equation (Time-Dependent)
dpsi_dt = (-(hbar^2/(2·m))·laplacian_psi + V·psi) / hbar
What it says
The time-dependent Schrodinger equation governing how a quantum wavefunction evolves in time (real-valued placeholder without the imaginary unit).
Symbols
| Symbol | Quantity | Dimension |
|---|---|---|
psi | Wavefunction (1/sqrt(m)) | L^-0.5 |
dpsi_dt | Time derivative of wavefunction (1/(sqrt(m)·s)) | L^-0.5 T^-1 |
hbar | Reduced Planck constant (1.054571817e-34 J·s) | M L^2 T^-1 |
m | Mass (kg) | M |
V | Potential energy (J) | M L^2 T^-2 |
laplacian_psi | Laplacian of wavefunction (1/(sqrt(m)·m^2)) | L^-2.5 |
Work it out
Enter what you know. No account needed.
Connects to
Filed under Quantum · derive through it in the explorer