Advances in Operator Theory and Inequalities

The quantum ground operator underlies every action of a field and that preserves the energy state of a system, maintaining the law of conservation of energy of the dynamical system given by its corresponding Lagrangian.and giving it a direction in space-time. Said operator will be a fundamental part in the system transformations in field theory and to define the field intentionality. In a quantum context, the analogy of placing a slab on a floor to stabilize it can be compared to stabilizing an energy state in a Hamiltonian potential or manifold. In both cases, a stable, lowest-energy configuration is sought. In the quantum context, this refers to an eigenstate of the Hamiltonian, which represents a stationary state of the system.