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A BRIEF REVIEW OF CLASSICAL MECHANICS
THE THEORY OF QUANTUM MECHANICS
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according to Eq ak(x an(x ball classical mechanics coincides common eigenbasis commute Compatibility Theorem complex functions complex number constant corresponding defined definition degree of freedom derive Dirac delta function directed line segments distributed eigenvalues eigen electron energy eigenvectors energy levels energy operator evolution Exercise expectation value fact given Hamiltonian operator Heisenberg Uncertainty Principle Hermitian operator Hilbert space vector Hint implies inner product integral K-vectors linear combination linear operator mathematical measurement of Ct ment Newton's second law norm observable Ct observable operator obtained operator H orthogonal orthonormal basis set orthonormal set particle physicists position and momentum position probability density Postulate potential function probability density function properties prove pure real quantity quantum mechanics quantum theory real number repeated measurements result satisfy Eq scalar Schrodinger equation specific square modulus Suppose theory of quantum time-evolution tion total energy Uncertainty Principle variable vector p(x vector space wave-particle duality