Espacio de Hilbert infinito-dimensional

An infinite-dimensional Hilbert space is a mathematical concept used primarily in quantum mechanics and functional analysis. Unlike familiar spaces like the three-dimensional space we live in, these spaces have an infinite number of dimensions, meaning they can describe infinitely complex systems. They are equipped with structures that allow for the generalization of geometry and the notion of distance and angle. This framework is crucial for understanding the behaviors of quantum states and their interactions, as it provides the necessary mathematical foundation to analyze infinite sets of possibilities and represent complex physical phenomena.