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Lagrangian corresponding to some Gup models

Won Sang Chung,Narges Heidari,Hassan Hassanabadi,Hosein Mohammadzadeh

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS（2022）

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Abstract
In this paper, we introduce the generalized Legendre transformation for the GUP Hamiltonian. From this, we define the non-canonical momentum. We interpret the momentum in GUP as the non-canonical momentum. We construct the GUP Lagrangian for some GUP models.
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Key words
GUP, Klein-Gordon field, Lagrangian, Legerndre transformation, Adomian method
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