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fac.cariera

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Does anyone know when is the Potential explicitly time-dependent? Can you give me an example?

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In summary, an explicit time-dependent potential is a mathematical function used to describe the energy of a system as a function of both position and time. It differs from an explicit time-independent potential in that it takes into account the changing nature of the system over time. This type of potential is commonly used to model the behavior of complex systems such as particles in a moving wave, atoms in a magnetic field, and molecules undergoing chemical reactions. It is also utilized in scientific research to study and predict the behavior of physical systems, but it can present challenges due to its complexity and the difficulty in accurately predicting system behavior.

- #1

fac.cariera

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- 0

Does anyone know when is the Potential explicitly time-dependent? Can you give me an example?

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- #2

Hassan2

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fac.cariera said:Does anyone know when is the Potential explicitly time-dependent? Can you give me an example?

Your household electricity has a sinusoidal voltage ( potential). It's time-dependent then. Perhaps I didn't get your question.

An explicit time-dependent potential is a mathematical function that describes the energy of a system as a function of both position and time. It is used to model the behavior of physical systems that change over time, such as particles in a moving wave or atoms in a magnetic field.

An explicit time-dependent potential is different from an explicit time-independent potential in that it takes into account the changing nature of the system over time. In contrast, a time-independent potential assumes that the system remains constant and does not change over time.

Some examples of systems that can be described by an explicit time-dependent potential include particles in a moving wave, atoms in a magnetic field, and molecules undergoing a chemical reaction. It can also be used to model the behavior of quantum systems, such as electrons in an electric field.

An explicit time-dependent potential is used in scientific research to model the behavior of complex systems that change over time. It is often used in conjunction with mathematical and computational techniques to study and predict the behavior of physical systems, such as the motion of particles and the behavior of atoms and molecules in chemical reactions.

One of the main challenges associated with using an explicit time-dependent potential is the complexity of the mathematical equations involved. It can also be difficult to accurately predict the behavior of systems that change over time, as small changes in initial conditions can lead to significant differences in the final outcome. Additionally, the computational resources required to solve these equations can be significant, making it a time-consuming and resource-intensive process.

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