Affordable Access

Publisher Website

Second quantized scalar QED in homogeneous time-dependent electromagnetic fields

Annals of Physics
DOI: 10.1016/j.aop.2014.08.012
  • Second Quantized Scalar Field
  • Time-Dependent Electromagnetic Fields
  • Quantum Invariants
  • Pair Production
  • Physics


Abstract We formulate the second quantization of a charged scalar field in homogeneous, time-dependent electromagnetic fields, in which the Hamiltonian is an infinite system of decoupled, time-dependent oscillators for electric fields, but it is another infinite system of coupled, time-dependent oscillators for magnetic fields. We then employ the quantum invariant method to find various quantum states for the charged field. For time-dependent electric fields, a pair of quantum invariant operators for each oscillator with the given momentum plays the role of the time-dependent annihilation and the creation operators, constructs the exact quantum states, and gives the vacuum persistence amplitude as well as the pair-production rate. We also find the quantum invariants for the coupled oscillators for the charged field in time-dependent magnetic fields and advance a perturbation method when the magnetic fields change adiabatically. Finally, the quantum state and the pair production are discussed when a time-dependent electric field is present in parallel to the magnetic field.

There are no comments yet on this publication. Be the first to share your thoughts.