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orthonormal
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anglais
Consider the case of rectangular coordinate systems with orthonormal bases only.
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An orthonormal set of kets form bases if and only if they satisfy these relations.
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Orthonormal bases are convenient to work with because the inner product of two vectors have simple expressions.
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The spherical harmonics are an orthonormal set of eigenfunctions used in many areas of math and physics, including quantum mechanics and electromagnetics.
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The eigenvalues of the second fundamental form, represented in an orthonormal basis, are the principal curvatures of the surface.
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In designing a frame, one naturally needs to ensure, using the given metric, that the four vector fields are everywhere orthonormal.
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To simplify notation, whole numbers are used, so the bases are orthogonal but not orthonormal.
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The commuting self-adjoint operators with odd powers of act on, so can be simultaneously diagonalized by an orthonormal basis.
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Before the measurement has started the observer states are identical; after the measurement is complete the observer states are orthonormal.
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In addition, if the basis vectors form an orthonormal set, the overlap matrix will be the identity matrix.
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