GENERALIZED HAMILTONIAN OF THE RESONANT METRIC OF THE ACTIVE STATE OF THE MEDIUM
T.R. Mehdiyev1, A.M. Hashimov1, Sh.N. Aliyeva1,2
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ABSTRACT

A theoretical model of the Hamiltonian is proposed for spatial systems with an inhomogeneous metric of the active state of the medium, possessing internal resonant properties. The structural and geometrical description of energy, interrelated with the local metric and the excitation field, enables the consideration of excited states, including spin waves, solitons, and stable topological configurations, while accounting for the self-consistent influence of the medium and its hidden symmetry, which extends beyond the framework of traditional theoretical potentials. The representation obtained within this model proves particularly effective in the interpretation of both theoretical and experimental studies of materials with nonlinear responses and spin structures, such as ferrite films, where anisotropy and geometrically induced effects play a key role.
A model of spin rotation in a local density shell is proposed, arising in the case where the characteristic size of the shell is smaller than the characteristic radius of a magnetic domain, in which the shell is treated as a region with a continuous density gradient, realizing the rotation of the spin vector due to the internal geometry of the excited state and the medium’s response.

Keywords: inhomogeneous metric, Hamiltonian, resonant properties, geometry.
DOI:10.70784/azip.1.2025260

Received: 25.06.2025
Internet publishing: 02.07.2025    AJP Fizika E 2025 02 en p.60-73

AUTHORS & AFFILIATIONS

1. Institute of Physics named after H.M. Abdullayev, Ministry of Science and Education of the Republic of Azerbaijan, 131 H. Javid Ave., Baku, AZ-1073, Azerbaijan
2. Azerbaijan State Oil and Industry University, Baku, AZ 1010 Azerbaijan
E-mail: joph.physics@gmail.com

Graphics and Images

        

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