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curupira

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- Thread starter curupira
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In summary, vector potential is a useful mathematical tool in classical electrodynamics, as only the electric and magnetic fields have physical meaning. However, in quantum electrodynamics, it is considered a physical primitive constituent of the electromagnetic field, as shown by the Aharonov-Bohm Effect. In QM, vector potential is physical but not observable, similar to wave functions. It is essentially one of the wave functions in QED. However, the problem with non-observable quantities in QM is that it is difficult to determine if they are true physical quantities or just mathematical representations. Therefore, while vector potential is a real physical object, it is not directly observable. Its circulation around a closed loop is equivalent to the magnetic flux, and

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curupira

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Petr Mugver

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Born2bwire

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K^2

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Of course, the problem with non-observable quantities in QM is that you cannot tell if these are true physical quantities, or merely convenient mathematical representations for something else. So this doesn't mean that vector potential is "real". Merely that there is a real physical object that it represents.

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Petar Mali

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[tex]\oint_L\vec{A}\cdot d\vec{l}=\int_S\vec{B}\cdot d\vec{S}=\Phi_B[/tex]

is magnetic flux.

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Meir Achuz

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Vector potential is a mathematical quantity used in electromagnetism to describe the direction and magnitude of a magnetic field. It is a vector field that is derived from the electric and magnetic fields.

There is some debate among scientists about whether vector potential is a physically real quantity or simply a mathematical tool. Some argue that it represents a physically real magnetic field, while others believe it is simply a mathematical construct.

The vector potential is related to magnetic fields through the equation B = ∇ x A, where B is the magnetic field and A is the vector potential. This equation is known as the Biot-Savart law, and it shows that the magnetic field is the curl of the vector potential.

Vector potential is used in many practical applications, including designing and optimizing electromagnets, modeling the behavior of electric motors, and calculating the magnetic fields produced by electric currents. It is also used in quantum mechanics to describe the behavior of particles with spin.

Yes, vector potential is a useful tool in scientific research, particularly in the fields of electromagnetism and quantum mechanics. It allows scientists to mathematically describe and understand the behavior of magnetic fields and particles with spin, and it is essential in many practical applications.

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