Espacio de Hilbert discreto

An "Espacio de Hilbert discreto" (discrete Hilbert space) is a mathematical framework used to analyze systems with a countable set of states, such as quantum particles that can be in specific, discrete positions or energy levels. It is a type of infinite-dimensional space where each point (vector) represents a possible state, and the inner product measures the similarity between states. This structure allows precise calculations of how states combine and evolve, forming a fundamental tool in quantum mechanics and signal processing, facilitating the description of complex systems with discrete, well-defined elements.