Modern Physics
Time-Dependent Schrödinger Equation
The fundamental equation of quantum mechanics describing how quantum states evolve in time.
Variables
iunitless
Imaginary unit
\hbarJ·s
Reduced Planck constant
\Psiunitless
Wave function
\hat{H}unitless
Hamiltonian operator
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Common questions
What is the Time-Dependent Schrödinger Equation formula?
Time-Dependent Schrödinger Equation is written iℏ∂Psi/∂t = ĤPsi. The fundamental equation of quantum mechanics describing how quantum states evolve in time. It belongs to Modern Physics, under Quantum Mechanics.
What are the units in iℏ∂Psi/∂t = ĤPsi?
In SI units, i is imaginary unit (dimensionless); \hbar is reduced planck constant, measured in J·s; \Psi is wave function (dimensionless); \hat{H} is hamiltonian operator (dimensionless).