There are only a few details that are known about quantum fields, but people are always trying to learn more about it to gain a better understanding of how things work. Electrons in quantum fields are also referred to as fermions. They need to be asymmetric so that there will be a difference with the charge of the wave patterns.
If all of the electrons will offer symmetrical waves, then all of the waves will be negative. The bison counterparts of electrons are symmetric, and they will have the ability to occupy the same space at the same time. This is something that electrons cannot do. Through the creation of asymmetric waves, it will be easier for atoms to remain balanced.
Lamb waves are similar to antisymmetric wave patterns because they are considered to be elastic waves. Elastic waves fall under the category of linear elasticity and they can cause earthquakes. The reason why electrons have antisymmetric waves in quantum fields is because first electrons first act as waves. When the waves function, they are called fermions.
These fermions plus the electrons are antisymmetric. This means that they the sign of the electron changes to the opposite. This occurs when the electrons are substituted for each other. The wave equation causes zero probability that both electrons will take place in the same place. This occurs based upon the Pauli exclusion principle. Electrons can not be recognized as different from other electrons because of their identical particles.
A few things are known about quantum fields. One; electrons are fermions, in which fermions cannot exist in the same state at the same time. And two; this is because particles with antisymmetric wave patterns cannot exist in the same state. According to quantum field theory, electrons must have antisymmetric wave patterns in quantum fields because if the fields are annotated as spin-0 and no spin- ½ this shows that electrons must have antisymmetric wave patterns otherwise there would be an infinity number of negative energy states.
This concept is explained in the Peskin and Schroder proof, and by using the Lorentz invariant. It all comes down to the mathematical symmetric equations, such as the C symmetry. In short, electrons must have antisymmetric wave patterns, since their bison counterparts are symmetric. Bosons can occupy the same state, while fermions cannot. This balance is required to establish the behavior of an atom