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Alpha-Oscillator Theory

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New Aspects of Quantum Electrodynamics
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Abstract

Canonical quantization of QED in finite systems is performed in terms of new b-photon, f-electron, and f c-positron, which are called alpha-oscillators. The alpha-oscillator algebra is useful for non-perturbationally space-time resolved simulation solving the dual Cauchy problems of the time-dependent QED Hamiltonian \( {\widehat{H}}_{\mathrm{QED}}(t) \). Time-dependent renormalization of QED is performed by using q-number renormalization constants over and above alpha-resonance and thermalization of alpha-oscillators. Quantum mechanics 100 years of mystery on the measurement problem of the Minkowski space-time coordinates is solved.

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Tachibana, A. (2017). Alpha-Oscillator Theory. In: New Aspects of Quantum Electrodynamics. Springer, Singapore. https://doi.org/10.1007/978-981-10-3132-8_4

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