The commutator of position and momentum operators

What is meant by commutator?
what are commutators?
why are commutators important?
what is the role of commutators in quantum mechanics?

what is Schrodinger equation?
How did Schrodinger discover his equation?
How did Schrodinger derive his equation?
non-commuting observable, commutating observables,
commutators' algebra, algebra of commutators, Quantum Mechanics, Quantum systems, Schrodinger wave equation, wavefunction, continuity of wavefunction, interpretation of wavefunction, statistical interpretation of wavefunction, Born interpretation of wavefunction, well-behaved functions, orthogonal functions, non-orthogonal functions, collapse of wavefunction, wavefunction collapse, Normalization of wavefunction, Hamiltonian, operators in quantum mechanics, Hermitian operators, normal operators, unitary operators, energy operator, momentum operator, position operator, eigenfunction, eigenvalues, eigen spectrum, expectation values of operators, expectation values in quantum mechanics, expectation value of momentum, expectation value of position, wave mechanics, matrix mechanics, free particle, particle in a box, particle in potential well, de Broglie wave, energy quantization, photon, photoelectric effect, perturbation, perturbation theory, characteristic equation, degeneracy in energy levels, non-degenerate levels, spontaneous emission, solution to differential equations,

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[sanwer]

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