hermitian adjoint造句

• Where ? denotes the Hermitian adjoint of the spinor ? and ? 0 is the time-like gamma matrix.
• Therefore, using only the Hermitian adjoint, one finds that is not a Lorentz scalar and is not even Hermitian.
• Furthermore, while the transpose can be defined on any vector space, the Hermitian adjoint is defined on Hilbert spaces.
• The difference stems from the fact that transpose is defined by a bilinear form while the Hermitian adjoint is defined by a sesquilinear form.
• Possibly to avoid confusion with the usual Hermitian adjoint, some textbooks do not provide a name for the Dirac adjoint but simply call it " ?-bar ".
• Technically, a ^ \ dagger _ r ( \ mathbf { p } ) is the Hermitian adjoint of the operator in the inner product space of ket vectors.
• The Hermitian adjoint of a map between such spaces is defined similarly, and the matrix of the Hermitian adjoint is given by the conjugate transpose matrix if the bases are orthonormal.
• The Hermitian adjoint of a map between such spaces is defined similarly, and the matrix of the Hermitian adjoint is given by the conjugate transpose matrix if the bases are orthonormal.
• In the case of operators on a Hilbert space, the Hermitian adjoint map on operators gives a natural involution which provides an additional algebraic structure which can be imposed on the algebra.
• The identity that characterizes the transpose, that is,, is formally similar to the definition of the Hermitian adjoint, however, the transpose and the Hermitian adjoint are not the same map.
• The identity that characterizes the transpose, that is,, is formally similar to the definition of the Hermitian adjoint, however, the transpose and the Hermitian adjoint are not the same map.
• From the unitary property it follows that the inverse of the quantum Fourier transform is the Hermitian adjoint of the Fourier matrix, thus F ^ {-1 } = F ^ { \ dagger }.
• Let \ widehat { U } be a unitary operator, so the inverse is the Hermitian adjoint \ widehat { U } = \ widehat { U } ^ \ dagger, which commutes with the Hamiltonian:
• Where the dagger denotes the Hermitian adjoint ( authors usually write " ? " " ? " 0 } } for the Dirac adjoint ) and is the probability four-current, while the Klein Gordon equation does not:
• Now where we separate the passing geek from the true physics acolyte is when we try to work out the Hermitian adjoint of the Schroedinger equation . . . though I can search for it online and find which describes the'famous Von Neumann " master " equation for the density matrix.
• The adjoint of an operator may also be called the "'Hermitian adjoint "', "'Hermitian conjugate "'or "'Hermitian transpose "'( after Charles Hermite ) of and is denoted by or ( the latter especially when used in conjunction with the bra ket notation ).
• The dagger,, is used in the name because physicists typically use the symbol to denote a hermitian adjoint, and are often not worried about the subtleties associated with an infinite number of dimensions . ( Mathematicians usually use the asterisk, *, to denote the hermitian adjoint . )-algebras feature prominently in quantum mechanics, and especially quantum information science.
• The dagger,, is used in the name because physicists typically use the symbol to denote a hermitian adjoint, and are often not worried about the subtleties associated with an infinite number of dimensions . ( Mathematicians usually use the asterisk, *, to denote the hermitian adjoint . )-algebras feature prominently in quantum mechanics, and especially quantum information science.