Archives for Quantum Field Theory - Page 2
Free Scalar Field Equation – Solved using matrix mechanics
Free Scalar Field: Field Equation and Matrix Mechanics Solution Field Equation for a Free Scalar Field The action for a free scalar field φ(x) in four-dimensional spacetime is given by:…
Dipole Approximation in Electron-Photon Interaction
Dipole Approximation for Electron-Photon Interaction The dipole approximation assumes that the wavelength of the electromagnetic field is much larger than the spatial extent of the electron wavefunction. In this case,…
Electron interacts with a photon – Schrodinger equation and it’s solution
Schrödinger Equation for Electron-Photon Interaction The system includes: An electron with wavefunction ψe(r, t), A photon field described by the vector potential A(r, t). The total Hamiltonian includes: The electron's…
Superluminal Potentials in Quantum Physics
The paper "Quantum Field Derivation of the Superluminal Schrödinger Equation and Deuteron Potential" by Betinis, published in Physics Essays in 2002, explores the theoretical foundations and implications of superluminal quantum…
Non-locality in the Heisenberg Representation
Non-locality in the Heisenberg Representation Non-locality is a fundamental aspect of quantum field theory (QFT) and it arises in both the Schrödinger and Heisenberg representations. Here’s an explanation of how…
Explain Unitary representations of the lorentz group – ChatGPT
In physics, the Lorentz group is the group of all Lorentz transformations, which preserve the spacetime interval between any two events in Minkowski spacetime. A unitary representation of the Lorentz…