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Tasell
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Can someone explain to me some of the key observations Helmholtz equation cannot explain and why that is so? Thanks!
What's the connection to quantum mechanics ? Why didn't you post this in the mathematics forums ?Tasell said:Can someone explain to me some of the key observations Helmholtz equation cannot explain and why that is so? Thanks!
dextercioby said:What's the connection to quantum mechanics ? Why didn't you post this in the mathematics forums ?
The Helmholtz equation is a partial differential equation that describes the behavior of waves in a variety of physical systems, such as sound waves, electromagnetic waves, and quantum mechanical waves.
The Helmholtz equation is a simplified model that does not take into account all of the complexities and variables present in real-world situations. As a result, it is unable to fully explain all observations and behaviors of waves in these systems.
Yes, there are various modifications and extensions of the Helmholtz equation that have been proposed in order to better explain certain observations. These modifications often take into account additional factors, such as nonlinearity or dispersion, that are not included in the original equation.
Some examples include the diffraction of light around small objects, the behavior of shock waves, and the phenomenon of superluminal propagation in certain materials. These observations require more complex models and equations to fully explain.
It is crucial to understand the limitations of any scientific model or equation in order to accurately interpret and analyze data. By recognizing the shortcomings of the Helmholtz equation, scientists can work towards developing more comprehensive and accurate models to better explain the behavior of waves in different systems.