Time evolution of quantum states generated by hamiltonian operators. If it is the system state at time t, where is the reduced Planck constant. This equation is the Schrodinger equation. (In the same form as Hamilton-Jacobian equation, H is named Hamilton. If the state of a given system is at an initial moment (t=0), the state of the system at any subsequent moment can be integrated. Especially if h has nothing to do with time.
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The extension of this principle can also be applied to any finite particle group, more general dynamic system and continuous medium when force is conserved. Hamilton principle can also be extended to the basic laws of electromagnetism, quantum theory and relativity. Planck (M), the founder of quantum theory, commented on Hamilton's principle, which is the noblest and most eager goal in physics.