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Hilbert Space | Mathematics of Quantum Mechanics

In this video I talk about the Hilbert space which is a space in which all possible wave functions exist. It consists of vectors, operators and complex numbers. In Hilbert space, vectors are representation of states of the quantum systems and operators ,which are linear transformations, are observables. They act on vectors and change them, but there are some states of the system that does not change under these linear transformations. These states, which are the eigenvectors of our operator, are determinate states of the system. -------------------------------------------------------------------------------------------------------- In this series of videos I'm going to share some information about quantum physics based on the amazing book "Quantum Mechanics" by David J. Griffiths. Quantum Physics playlist:    • Quantum Physics