Is Fokker Planck equation equivalent to Schrodinger equation

In summary, the Fokker-Planck equation and the Schrodinger equation are two mathematical equations used to describe the behavior of particles in a system. While they are not equivalent, they can be related to each other under certain conditions. The Fokker-Planck equation can be derived from the Schrodinger equation in the limit of large particle numbers and when the system is in thermal equilibrium. However, the Fokker-Planck equation is a classical equation and cannot be used to describe quantum mechanical systems. Both equations are used in various fields of science, such as statistical mechanics, fluid mechanics, neuroscience, quantum chemistry, solid state physics, and atomic and molecular physics.
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naima
Gold Member
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I found this question here
but i do not understand the answer. One equation is from classical physics and the other from quantum physics. Is there another way to go from classical to quantics than the analytical extension?
 
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Related to Is Fokker Planck equation equivalent to Schrodinger equation

1. What is the Fokker-Planck equation and the Schrodinger equation?

The Fokker-Planck equation and the Schrodinger equation are two mathematical equations used in physics to describe the behavior of particles in a system. The Fokker-Planck equation is used to describe the diffusion and drift of particles in a system, while the Schrodinger equation is used to describe the wave function of a quantum mechanical system.

2. Are the Fokker-Planck equation and the Schrodinger equation equivalent?

No, the Fokker-Planck equation and the Schrodinger equation are not equivalent. They describe different aspects of a physical system and have different mathematical formulations. However, under certain conditions, they can be related to each other.

3. How are the Fokker-Planck equation and the Schrodinger equation related?

The Fokker-Planck equation can be derived from the Schrodinger equation in the limit of large particle numbers and when the system is in thermal equilibrium. This means that the Fokker-Planck equation can be seen as a simplified version of the Schrodinger equation for a large number of particles.

4. Can the Fokker-Planck equation be used to describe quantum mechanical systems?

No, the Fokker-Planck equation is a classical equation that can only be used to describe classical systems. It does not take into account the quantum nature of particles and cannot be used to describe quantum mechanical systems.

5. In what fields of science are the Fokker-Planck equation and the Schrodinger equation used?

The Fokker-Planck equation is commonly used in statistical mechanics, fluid mechanics, and neuroscience to describe the behavior of particles in a system. The Schrodinger equation is a fundamental equation in quantum mechanics and is used in various fields such as quantum chemistry, solid state physics, and atomic and molecular physics.

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