The physical meaning of Schrödinger's equation

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The discussion clarifies the physical meaning of Schrödinger's equation as the quantum equivalent of Newton's laws of motion. While Newton's laws provide a deterministic trajectory for classical particles, Schrödinger's equation describes the probabilistic behavior of quantum particles through their wave functions. The Heisenberg uncertainty principle further emphasizes that quantum particles do not have defined trajectories, but rather exist in a state of probability as dictated by their wave functions.

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kahoomann
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OK, I understand the physical interpretation of wave function which is the solution of Schrödinger's equation. The interpretation of wave function is in term of probability.
What is physical meaning of Schrödinger's equation itself, in term of Newton's equation(F=ma)?
 
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Check out this thread, in particular post #8.

Hey, you're the one who asked the question then. :confused:
 
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You could perhaps see Schrödinger equation as the quantistical equivalent of Newton's law in the sense that while Newton's law tells you the "future story" of a non-quantistical particle (its trajectory due to forces), the Schrödinger equation tells you the same for a quantistical particle. The difference being that for a quantistical particle you cannot speak of a trajectory in the classical sense due to the Heisenberg uncertainty principle, but you can speak of a wave function (with a probabilistic meaning) and Schrödinger equation will tell you the "future story" of the wave function.
 

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