Abstract
In this paper a complete proof for the existence of generalized operators satisfying abstract dynamical equations of quantum motions \( \frac{{\partial ^{2} }} {{\partial t^{2} }}\Phi {\left( {t,x} \right)} + {\left( {\Delta - m^{2} } \right)}\Phi {\left( {t,x} \right)} = - \lambda :\Phi ^{3} {\left( {t,x} \right)}, \) subject to a suitable initial condition, is given under the framework of white noise analysis. Also some important commutation relations related to \( \phi ^{4}_{4} \) quantum fields are discussed and proved in detail.
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Supported by Grant 10401011 from NSFC and by Grant 2005037660 from China Postdoctoral Science Foundation
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Rang, G.L., Huang, Z.Y. White Noise Approach to The Construction of \( \phi ^{4}_{4} \) Quantum Fields (II). Acta Math Sinica 23, 895–904 (2007). https://doi.org/10.1007/s10114-005-0817-9
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DOI: https://doi.org/10.1007/s10114-005-0817-9