Schrödinger Ecuation & Continuity Ecuation | R. Aparicio

In summary, R. Aparicio has shared a link to a page discussing the Schrödinger and continuity equations and their relationship to understanding quantum mechanics. This link is part of a chapter from a book in Spanish. R. Aparicio also requests an endorsement for an article submission to the quant-ph section of arXiv. The endorsement code is I9E3HI.
  • #1
Raparicio
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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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  • #3


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.
 

FAQ: Schrödinger Ecuation & Continuity Ecuation | R. Aparicio

What is the Schrödinger Equation?

The Schrödinger Equation is a fundamental equation in quantum mechanics that describes how the quantum state of a physical system changes over time. It was developed by Austrian physicist Erwin Schrödinger in 1926 and is used to calculate the probability of finding a particle in a particular location at a specific time.

What is the Continuity Equation?

The Continuity Equation is a fundamental equation in fluid dynamics that describes the conservation of mass in a fluid. It states that the rate of change of mass within a given volume is equal to the rate of flow of mass into or out of that volume. It is used to study the behavior of fluids, such as air and water, in various systems.

How are the Schrödinger and Continuity Equations related?

The Schrödinger and Continuity Equations are related through the principle of conservation of probability. In quantum mechanics, the probability of finding a particle in a certain location is described by the square of its wave function, which is governed by the Schrödinger Equation. In fluid dynamics, the continuity equation describes the conservation of mass, which can be related to the conservation of probability in quantum mechanics.

What are the applications of the Schrödinger and Continuity Equations?

The Schrödinger Equation has a wide range of applications in quantum mechanics, including understanding the behavior of atoms, molecules, and other subatomic particles. It is also used in the development of technologies such as lasers and transistors. The Continuity Equation is used to study the flow of fluids in various systems, such as in aerodynamics, hydrodynamics, and chemical engineering.

What are the limitations of the Schrödinger and Continuity Equations?

The Schrödinger Equation is limited to describing the behavior of particles on a quantum scale and does not take into account the effects of relativity. It also cannot fully explain certain phenomena, such as the collapse of the wave function. The Continuity Equation is limited to describing the behavior of ideal fluids and does not take into account the effects of viscosity or turbulence.

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