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.

The quantisation of a fourth-order equation without a second-order Lagrangian / NUCCI, Maria Clara; P. G. L. Leach. - In: JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS. - ISSN 1402-9251. - STAMPA. - 17:4(2010), pp. 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.
2010
The quantisation of a fourth-order equation without a second-order Lagrangian / NUCCI, Maria Clara; P. G. L. Leach. - In: JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS. - ISSN 1402-9251. - STAMPA. - 17:4(2010), pp. 485-490. [10.1142/S1402925110001094]
NUCCI, Maria Clara; P. G. L. Leach
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/916351
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