Anyone have a pdf of Maxwell's EQs in quaternions

Thread starter Runaway Monocle
Start date Jul 19, 2005
Tags

Pdf Quaternions

In summary, Maxwell's equations in quaternions are an alternative mathematical representation of the classical electromagnetic field equations based on the use of hypercomplex numbers. They provide a more compact and elegant way of expressing the fundamental laws of electromagnetism and have applications in various fields. A PDF of these equations can be found online or purchased in print. They differ from the traditional form in their use of quaternion algebra, allowing for a more concise and geometrically intuitive understanding. While not widely used, they have gained recognition in certain fields and are still an area of active research.

Jul 19, 2005

Runaway Monocle

Just curious. You can do a lot of stuff with quaternions that you can't in vectors.

Physics news on Phys.org

Jul 20, 2005

selfAdjoint

Staff Emeritus

Gold Member

Dearly Missed

Runaway Monocle said:

Just curious. You can do a lot of stuff with quaternions that you can't in vectors.

There are a number of sites. Google on MAXWELL EQUATIONS QUATERNION.

Last edited: Jul 20, 2005

Jul 20, 2005

marlon

Here you go

http://world.std.com/~sweetser/quaternions/qindex/qindex.html

marlon

1. What are Maxwell's equations in quaternions?

Maxwell's equations in quaternions are an alternative mathematical representation of the classical electromagnetic field equations. They are based on the use of quaternions, which are a type of hypercomplex numbers that extend the concept of complex numbers.

2. Why are Maxwell's equations in quaternions important?

Maxwell's equations in quaternions provide a more compact and elegant way of expressing the fundamental laws of electromagnetism. They also have applications in areas such as 3D computer graphics, robotics, and quantum mechanics.

3. Where can I find a PDF of Maxwell's equations in quaternions?

You can find a PDF of Maxwell's equations in quaternions in various online sources, such as academic databases, research websites, and scientific journals. Alternatively, you can also purchase a printed copy of the equations from a bookstore or online retailer.

4. How are Maxwell's equations in quaternions different from the traditional form?

Maxwell's equations in quaternions use quaternion algebra instead of vector calculus to represent the electromagnetic field equations. This allows for a more concise and geometrically intuitive way of understanding the equations.

5. Are Maxwell's equations in quaternions widely accepted and used?

While they are not as commonly used as the traditional form of Maxwell's equations, they have gained recognition and use in certain fields, such as robotics and computer graphics. However, they are still an active area of research and their full potential is yet to be fully explored.