Summary
A new description of field, the pseudo Hamilton description, is proposed. To a physical field, we may introduce the pseudoconjugate momentum tensor and the pseudo-Hamiltonian. The pseudo-Hamiltonian is a scalar equivalent to the Lagrangian in describing the field. The field equations of motion are the pseudo Hamilton equation. In comparison with the Euler-Lagrange equations, the pseudo Hamilton equations have the advantage of only containing the first-order derivatives of the field, but the number of the equations is increased.
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References
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Shu-Min, L., Bin, W., Yan-Gang, M. et al. A new description of field: the pseudo-Hamiltonian description. Nuov Cim A 107, 1237–1242 (1994). https://doi.org/10.1007/BF02775764
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DOI: https://doi.org/10.1007/BF02775764