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초강력 레이저 과학 연구단
초강력 레이저과학 연구단
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Second quantized scalar QED in homogeneous time-dependent electromagnetic fields

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Title
Second quantized scalar QED in homogeneous time-dependent electromagnetic fields
Author(s)
Sang Pyo Kim
Publication Date
2014-12
Journal
ANNALS OF PHYSICS, v.351, no., pp.54 - 67
Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
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.
URI
https://pr.ibs.re.kr/handle/8788114/841
ISSN
0003-4916
Appears in Collections:
Center for Relativistic Laser Science(초강력 레이저과학 연구단) > Journal Papers (저널논문)
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