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Inner transformations, such as gauge transformations, are connected with more abstract properties.
But to say that these transformations are merely gauge transformations is to collapse the three dimensions of the physical space into two dimensions.
He is planning his public transformation and gauging its impact: "So when this loose behavior I throw off, / And pay the debt I never promised, / By how much better than my word I am, /... My reformation, glittering o'er my fault, / Shall show more goodly, and attract more eyes / Than that which hath no foil to set it off".
The magnetic momentum is a generator of simultaneous translation in space and gauge transformation, preserving invariance of Hamiltonian of charged particles in magnetic field [42].
The transformations between them cannot be gauge transformations.
Recently, Huang et al. [6] presented a new N-fold Darboux transformations of the ( 1 + 1 ) -dimensional higher-order Broer-Kaup system with the help of a gauge transformation of the spectral problem and found new explicit multi-soliton solutions of the system (1.1a) and (1.1b).
Symmetry operations and gauge transformation.
Expressions can be notably simplified by the appropriate gauge transformation.
The stochastic S-matrix is related to the R-matrix of the quantum group U_q(A_n^1) by a gauge transformation.
In order to maintain consistent boundary conditions, the usual conformal diffeomorphisms must be accompanied by a certain \(U 1)\) gauge transformation.
The generalization is detailed for two existing schemes in the framework of pseudo-differential calculus, namely, Szeftel's method (Szeftel (2006) [1]) and gauge transformation strategy (Antoine et al. (2006) [2006
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