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Hermitian conjugate of the operator

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  • Hermitian adjoint — In mathematics, specifically in functional analysis, each linear operator on a Hilbert space has a corresponding adjoint operator. Adjoints of operators generalize conjugate transposes of square matrices to (possibly) infinite dimensional… …   Wikipedia

  • Hermitian matrix — A Hermitian matrix (or self adjoint matrix) is a square matrix with complex entries which is equal to its own conjugate transpose mdash; that is, the element in the i th row and j th column is equal to the complex conjugate of the element in the… …   Wikipedia

  • Conjugate transpose — Adjoint matrix redirects here. For the classical adjoint matrix, see Adjugate matrix. In mathematics, the conjugate transpose, Hermitian transpose, Hermitian conjugate, or adjoint matrix of an m by n matrix A with complex entries is the n by m… …   Wikipedia

  • Operator norm — In mathematics, the operator norm is a means to measure the size of certain linear operators. Formally, it is a norm defined on the space of bounded linear operators between two given normed vector spaces. Contents 1 Introduction and definition 2 …   Wikipedia

  • Displacement operator — Quantum optics operators Ladder operators Creation and annihilation operators Displacement operator Rotation operator (quantum mechanics) Squeeze operator Anti symmetric operator Quantum corre …   Wikipedia

  • Theoretical and experimental justification for the Schrödinger equation — The theoretical and experimental justification for the Schrödinger equation motivates the discovery of the Schrödinger equation, the equation that describes the dynamics of nonrelativistic particles. The motivation uses photons, which are… …   Wikipedia

  • Self-adjoint operator — In mathematics, on a finite dimensional inner product space, a self adjoint operator is one that is its own adjoint, or, equivalently, one whose matrix is Hermitian, where a Hermitian matrix is one which is equal to its own conjugate transpose.… …   Wikipedia

  • Normal operator — In mathematics, especially functional analysis, a normal operator on a complex Hilbert space H (or equivalently in a C* algebra) is a continuous linear operator that commutes with its hermitian adjoint N*: Normal operators are important because… …   Wikipedia

  • Momentum operator — See also: Momentum In quantum mechanics, momentum is defined as an operator on the wave function. The Heisenberg uncertainty principle defines limits on how accurately the momentum and position of a single observable system can be known at once.… …   Wikipedia

  • Bra-ket notation — Quantum mechanics Uncertainty principle …   Wikipedia

  • Dirac equation — Quantum field theory (Feynman diagram) …   Wikipedia

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