Are you still wondering about this?TriTertButoxy said:I'm doing a calculation in QFT and in order to proceed, I need to know the eigenkets of the field operator (say the scalar field for example).
Where can I look to find the eigenkets. Or, if anyone knows, could you post it?
Thanks!
The eigenkets of the field operator represent the different possible states or configurations of a quantum field. They are the solutions to the field operator's corresponding eigenvalue equation.
Eigenkets of the field operator are used to describe the quantum states of a field and the particles that can be created or destroyed in that field. They are also used in calculations to determine the probability amplitudes of different outcomes in a quantum field.
No, eigenkets of the field operator are mathematical representations of quantum states and cannot be directly observed. However, their effects can be observed through measurements of physical quantities, such as particle interactions or energy levels.
One limitation is that eigenkets of the field operator are only valid for free fields, meaning that they do not take into account interactions between particles. Additionally, they do not account for the effects of gravity and are not applicable in theories that include gravity.
Yes, the number of eigenkets of the field operator can be infinite in certain cases, such as in an infinite volume or for a field with an infinite number of possible energy levels. However, in practical applications, the number of eigenkets is typically finite and limited by the available energy or volume of the system.