On the spectrum of DW Hamiltonian of quantum SU(2) gauge field

DOI10.1142/S0219887817501237zbMath1373.81361arXiv1706.01766MaRDI QIDQ5359033

Igor V. Kanatchikov

Publication date: 22 September 2017

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.01766

zbMATH Keywords

eigenvaluesSchrödinger operatorsdiscrete spectrummass gapAiry functionClifford analysisprecanonical quantizationquantum Yang-Mills theoryde Donder-Weyl formalism

Mathematics Subject Classification ID

Other elementary particle theory in quantum theory (81V25) Yang-Mills and other gauge theories in quantum field theory (81T13) Quantization in field theory; cohomological methods (81T70) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Clifford algebras, spinors (15A66) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15)

Related Items (3)

Schrödinger wave functional in quantum Yang-Mills theory from precanonical quantization ⋮ Schrödinger wave functional of a quantum scalar field in static space-times from precanonical quantization ⋮ Clifford algebraic approach to the de Donder-Weyl Hamiltonian theory

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