Espacio de Hilbert

A Hilbert space is a mathematical concept used primarily in quantum mechanics and functional analysis. It can be thought of as a generalization of ordinary three-dimensional space to accommodate infinite dimensions. Essentially, it provides a framework for understanding quantum states and their probabilities. In a Hilbert space, points represent possible states, and the operations on these points, such as measurements, can be mathematically described. This abstraction allows scientists to explore and predict complex systems, making it a foundational element in modern physics and mathematics, enabling a deeper understanding of concepts like wave functions and quantum behavior.