Schrodinger equation with unknown potential function

Thread starter BogdanDNR
Start date Sep 22, 2014
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Function Potential Schrödinger Schrodinger equation

In summary, the Schrodinger equation with unknown potential function is a mathematical equation used to describe the behavior of quantum particles in a given system. It differs from the standard Schrodinger equation by allowing for an unknown potential function, making it more versatile. Its applications include physics, chemistry, and engineering and the potential function is determined through experimental data and theoretical calculations. However, it has limitations such as not accounting for special relativity and particle interactions.

Sep 22, 2014

BogdanDNR

How to find wave function if potential function is unknown. I have only the scattering data: time and coordinates of scattering particle.

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Sep 23, 2014

soarce

I think that from scattering data you should get some information about the form factor of your target (potential) and then try to model you potential according to the form factor.

1. What is the Schrodinger equation with unknown potential function?

The Schrodinger equation with unknown potential function is a mathematical equation that describes the behavior of quantum particles in a given system. It is used to determine the probability of finding a particle at a certain position and time, and is a fundamental equation in quantum mechanics.

2. How is the Schrodinger equation with unknown potential function different from the standard Schrodinger equation?

The standard Schrodinger equation assumes a known potential function, while the Schrodinger equation with unknown potential function allows for the potential to be unknown. This makes it a more versatile and general equation, as it can be applied to a wider range of systems and scenarios.

3. What are the applications of the Schrodinger equation with unknown potential function?

The Schrodinger equation with unknown potential function has many applications in physics, chemistry, and engineering. It is used to model and understand the behavior of particles in quantum systems, such as atoms, molecules, and subatomic particles. It is also used in the development of technologies such as quantum computing and nanotechnology.

4. How is the potential function determined in the Schrodinger equation with unknown potential function?

The potential function in the Schrodinger equation with unknown potential function is typically determined through experimental data and theoretical calculations. Scientists use various techniques, such as spectroscopy and numerical simulations, to gather information about the system and make predictions about the potential function.

5. Are there any limitations to the Schrodinger equation with unknown potential function?

Like any mathematical model, the Schrodinger equation with unknown potential function has its limitations. It is a non-relativistic equation, meaning it does not take into account the effects of special relativity. It also does not account for interactions between particles, making it less accurate for complex systems. However, it remains a powerful and widely used tool in the study of quantum mechanics.