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Revolutionary Concepts in Quantum Mechanics: Abstract Electron States and Matrices
Heisenberg introduced the concept of abstract electron states in 1925 by proposing that electron states in an atom are discrete and labeled by energies, rather than being tied to specific orbits. He also rejected the idea of electrons moving in fixed orbits around the nucleus, emphasizing that electron positions inside an atom are not observable and should be conceptualized as abstract states. He further introduced the concept of transitions between these atomic states as probabilistic, leading to the prediction of radiation intensities emitted by atoms. By working backwards from experimental outcomes, Heisenberg introduced the idea that electron positions are represented by matrices, a revolutionary and abstract mathematical entity. These position matrices satisfy an equation of motion, analogous to Newton's second law, representing the quantum dynamics essential for a complete quantum formalism.