What is Vector potential: Definition and 183 Discussions

In vector calculus, a vector potential is a vector field whose curl is a given vector field. This is analogous to a scalar potential, which is a scalar field whose gradient is a given vector field.
Formally, given a vector field v, a vector potential is a vector field A such that





v

=
∇
×

A

.


{\displaystyle \mathbf {v} =\nabla \times \mathbf {A} .}

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  1. L

    I How to use geometrical symmetries -- general advice? (Vector potential)

    The following is an example from my script. I always have trouble identifying useful symmetries. Can someone explain to me why (for example) the vector potential doesn't have a ##z## dependence? I understand that there is no ##\varphi## dependency. I don't understand why the field of ##\vec{A}##...
  2. K

    A Confused about multipole expansion of vector potential

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  3. K

    4- vector potential transformation

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  4. G

    I 4-Current vector potential transformation under Gauge fixing

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  5. P

    I Vector Potential Multipole Expansion

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  6. A

    I Explicit non-local form for the vector potential?

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  7. arjun_ar

    Calculate the magnetic field from the vector potential

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  8. LCSphysicist

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  9. Salmone

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  10. Haorong Wu

    I Coefficients in expansions of a vector potential

    I have seen two expansions of a vector potential, $$\mathbf A=\sum_\sigma \int \frac{d^3k}{(16 \pi^3 |\mathbf k|)^{1/2}} [\epsilon_\sigma(\mathbf k) \alpha_\sigma (\mathbf k) e^{i \mathbf k \cdot \mathbf x}+c.c.],$$ and $$\mathbf A=\sum_\sigma \int \frac{d^3k}{ (2 \pi)^3(2 |\mathbf k|)^{1/2}}...
  11. Garlic

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  12. Gustav

    Solving Vector Potential: Calculating Magnetic Field & Difficulties

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  13. D

    Deriving electric and vector potential

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  14. patric44

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  15. Tony Hau

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  16. rude man

    Introduction to Electric Vector Potential and Its Applications

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  17. brotherbobby

    Vector potential ##\vec A## in terms of magnetic field ##\vec B##

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  18. Adesh

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  19. L

    Gauge choice for a magnetic vector potential

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  20. T

    Expressing the magnetic vector potential A-field in terms of the B-field

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  21. Decimal

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  22. R

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  23. T

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  24. TheBigDig

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  25. W

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  26. MichPod

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  27. S

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  28. It's me

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  29. S

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  30. Another

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  31. S

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  32. V

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  33. Spinnor

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  34. S

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  35. allison west

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  36. DoobleD

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  37. B

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  38. I

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  39. J

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  40. Q

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  41. garylau

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  42. cetmoimonsieur

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  43. 1

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  44. S

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  45. M

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  46. DavideGenoa

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  47. brad2292

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  48. I

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  49. P

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  50. DrPapper

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