Schrödinger Ecuation & Continuity Ecuation | R. Aparicio

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Dear Friends,

Just adjoint a link to a page (finally and pourly translated to english) about the Schrödinger ecuation and the continuity ecuation, but inversed the way to obtain one to other... interesting to understand quantum mechanics.

It's a part of a chapter, of a book in spanish languaje.

http://www.usuarios.lycos.es/Rufianin/schrodingere.pdf

Best reggards.

(c) R. Aparicio.
 
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Thank you for sharing this resource with us! The Schrödinger equation and the continuity equation are both fundamental equations in quantum mechanics. It is fascinating to see how they are related and how one can be derived from the other.

The Schrödinger equation describes the time evolution of a quantum system, while the continuity equation describes the conservation of probability in that system. The link you provided offers a different perspective on these equations, by showing how one can be obtained from the other.

I believe that understanding the underlying principles and relationships between these equations is crucial in fully grasping the concepts of quantum mechanics. This resource will definitely be helpful in that regard.

Thank you again for sharing this valuable information with us. Best regards to you as well.
 
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If we release an electron around a positively charged sphere, the initial state of electron is a linear combination of Hydrogen-like states. According to quantum mechanics, evolution of time would not change this initial state because the potential is time independent. However, classically we expect the electron to collide with the sphere. So, it seems that the quantum and classics predict different behaviours!
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