The physical meaning of Schrödinger's equation

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 Schrodinger 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 Schrodinger 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 Schrodinger equation will tell you the "future story" of the wave function.
 
Not an expert in QM. AFAIK, Schrödinger's equation is quite different from the classical wave equation. The former is an equation for the dynamics of the state of a (quantum?) system, the latter is an equation for the dynamics of a (classical) degree of freedom. As a matter of fact, Schrödinger's equation is first order in time derivatives, while the classical wave equation is second order. But, AFAIK, Schrödinger's equation is a wave equation; only its interpretation makes it non-classical...
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. Towards the end of the first lecture for the Qiskit Global Summer School 2025, Foundations of Quantum Mechanics, Olivia Lanes (Global Lead, Content and Education IBM) stated... Source: https://www.physicsforums.com/insights/quantum-entanglement-is-a-kinematic-fact-not-a-dynamical-effect/ by @RUTA
Is it possible, and fruitful, to use certain conceptual and technical tools from effective field theory (coarse-graining/integrating-out, power-counting, matching, RG) to think about the relationship between the fundamental (quantum) and the emergent (classical), both to account for the quasi-autonomy of the classical level and to quantify residual quantum corrections? By “emergent,” I mean the following: after integrating out fast/irrelevant quantum degrees of freedom (high-energy modes...

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