Second quantized scalar QED in homogeneous time-dependent electromagnetic fields

作者：Kim Sang Pyo^*

来源：Annals of Physics, 2014, 351: 54-67.

DOI：10.1016/j.aop.2014.08.012

• Second quantized scalar field
• Time-dependent electromagnetic fields
• Quantum invariants
• Pair production

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.

• 出版日期2014-12