👉 In mathematics, a unitary transformation is an operation on a vector space that leaves its basis unchanged. This means that if we have a linear operator A acting on a finite-dimensional vector space V, then |A| must be equal to 1 for all vectors v in V. Unitary transformations are important in quantum mechanics and wavefunction theory. They allow us to express certain states as the eigenvectors of the Hamiltonian operator H acting on the Hilbert space H(V) of a finite
