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Semi-positive

Like any valid density operator it has to be semi-positive (i.e. no negative eigenvalues) at all time. This is implied by the fact that these eigenvalues correspond to state probabilities in the diagonal representation. Indeed, if the overall density operator p satisfies this requirement it can be shown that so does CT = TrB/5. [Pg.389]

Here E is the energy of the degenerate bound states and I is the unit matrix. The second term describes the loss of population of the bound space due to dissociation. We know it is a loss term because Eq. (Ill) implies that the rate matrix Y is (semi)positive definite, i.e., the eigenvalues of the effective Hamiltonian must have a nonpositive imaginary part or that exp(—i nt/h) = exp(—/( - iY )t/h) = exp( - iEj/h)cxp(- Y t/h) so that the states do decay in time because T 0. To determine the eigenvalues we need to diagonalize Eq. (113). The assumption of Eq. (112) implies that there are K eigenvectors which can be explicitly written down ... [Pg.49]

FIGURE Compression molds, (a) A simple flash mold, (b) A positive mold. Knockout pins could extend through plunger instead of through cavity, (c) Semi-positive mold as it appears in partly closed position before it becomes positive. Material trapped in area b escapes upward, (d) Semipositive mold in closed position. [Pg.160]

Figure 5,81 Cross sectional view of a multi-cavity semi-positive mold used for compression molding... Figure 5,81 Cross sectional view of a multi-cavity semi-positive mold used for compression molding...
The possibilities for (8) are less varied. If Q is irreducible, then the are positive, and (10) applies. Semi-irreducibility implies the semi-positivity of and hence (10) with Ni non-negative. (A somewhat analogous result states that a non-negative P is primitive if and only if some power of P is positive.)... [Pg.120]

Resistive nodes In this first category of power continuous nodes the power continuity is hidden, as the power entering the resistive ports is converted into thermal power and not explicitly represented by a thermal port, such that energy seems to be dissipated, but careful use of concepts shows that only free energy can be dissipated and that the use of power as a flow of free energy corresponds to an implicit assumption, viz., that the temperature at the thermal port is constant or its fluctuations are slow with respect to the fluctuations of interest, such that the temperature can be considered constant. For a resistive node a semi-positive definite scalar potential function ( entropy production function or dissipation function ) of the independent variables exists that generates its constitutive relations. A resistive node has at least one port. Its node label is R. A modulated resistive node has node label MR. A resistive node or resistor is sometimes called a dissipative node or dissipator. [Pg.14]

Semi-positive or Positive type Fiosh type... [Pg.857]

Fig, 15, A semi-positive tool in production for the base moulding of the 835 Goblin "Teasmade" at the Streetly Manufacturing Company, (Courtesy of British Industrial Plastics Ltd.)... [Pg.59]

Flash type Semi-positive type Positive type... [Pg.69]

Semi-positive (partly positive, partly flash) used for closer tolerance work or when the design involves marked changes in section thickness. [Pg.69]


See other pages where Semi-positive is mentioned: [Pg.202]    [Pg.335]    [Pg.123]    [Pg.86]    [Pg.242]    [Pg.179]    [Pg.169]   
See also in sourсe #XX -- [ Pg.437 ]




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