We present an equation of the fourth-order which does not possess a second-order Lagrangian and demonstrate by means of the method of reduction of order that one can obtain a first-order Lagrangian for it. This opens the way to quantization through the construction of an Hamiltonian which is suitable to be quantized according to the procedure of Dirac with the correct physical attributes.
NUCCI, M.C., P. G. L. Leach (2010). The quantisation of a fourth-order equation without a second-order Lagrangian. JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 17(4), 485-490 [10.1142/S1402925110001094].
The quantisation of a fourth-order equation without a second-order Lagrangian
NUCCI, Maria Clara;
2010
Abstract
We present an equation of the fourth-order which does not possess a second-order Lagrangian and demonstrate by means of the method of reduction of order that one can obtain a first-order Lagrangian for it. This opens the way to quantization through the construction of an Hamiltonian which is suitable to be quantized according to the procedure of Dirac with the correct physical attributes.File in questo prodotto:
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