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what is the Schröndinger equation?
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The Schrondinger equation is the fundamental equation of wave mechanics.
We have normal wave equations to tell us about water waves, electromagnetic waves and stuff? schrondinger equation tells us about matter waves.. (probability waves). its the basics for quantum mechanics!
\[\qquad\qquad{\boxed{\color{gray}{i\hbar\dfrac{\partial\Psi}{\partial t}=-\dfrac{\hbar^2}{2m}\dfrac{\partial^2\Psi}{\partial x^2}+V\Psi}}}\]
It is the fundamental equation of Quantum Mechanics use to predict the characteristics and behavior of the interactions of atomic and molecular particles.
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