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Why do we use matrix representation in Quantum mechanics?

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We use matrices in quantum because they define directly what can and cannot physically occur. The easiest way to grasp this is in quantum computing. Suppose I have memory in a classical computer, that I denote by the n dimensional vector x. read more

We use matrix representation in Quantum Mechanics since it is more of a logically consistent formulation because they can also account for quantum jumps unlike Bohr’s Model. Bohr’s Model was problematic when it could not describe the nature of the absorption and emission of radiation. read more

In 1925, Werner Heisenberg, Max Born, and Pascual Jordan formulated the matrix mechanics representation of quantum mechanics. Epiphany at Helgoland In 1925 Werner Heisenberg was working in Göttingen on the problem of calculating the spectral lines of hydrogen. read more

The density operator, or density matrix in Hilbert space [math]\hat \rho[/math]. For a state described by wavefunction [math]\left\vert \psi \right\rangle[/math], the density matrix is the outer product of the wavefunction with itself, i.e. [math]\hat \rho = \left\vert \psi \right\rangle \left\langle \psi \right\vert[/math]. read more

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