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Appendix B Symbols

Symbol Description Location
\(z^*,\;\bar{z}\) complex conjugate of a complex number \(z\) Paragraph
\(|z|\) norm of a complex number \(z\) Paragraph
\(M^T\) transpose of a matrix \(M\) Paragraph
\(M^{\dagger}\) Hermitian conjugate (or adjoint) of a matrix \(M\) Paragraph
\(\left\{\sigma_x, \sigma_y, \sigma_z\right\}\) Pauli matrices Paragraph
\(\left\langle \vec{u}\vert \vec{v}\right\rangle\) the inner product of the vectors \(\left\vert \vec{u}\right\rangle\) and \(\left\vert \vec{v}\right\rangle\) Definition 8.2
\(\LL\) linear differential operator Notation 9.1
\(\frac{dy}{dx}\) Leibniz notation for derivative Notation 9.2
\(y^\prime\) Lagrange notation for derivative (w.r.t. \(x\)) Notation 9.2
\(\dot{y}\) Newton notation for derivative (w.r.t. \(t\)) Notation 9.2