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Trotter product formula

For large P, (3/P is small and it is possible to find a good short-time approximation to the Green function p. This is usually done by employing the Trotter product formula for the exponentials of the noncommuting operators K and V... [Pg.310]

To be more precise, this time propagation scheme consists of two ingredients (i) application of the Trotter product formula to the time propagation operator, and (ii) an efficient use of the Fast Fourier transform (FFT). Recall that the increase of time to perform FFT scales to NlogN, where N is the number of grid points [219]. A time evolution operator for a short time interval At, which is composed of two noncommutable operators A and B, can be approximately represented with the TVotter product (decomposition) formifla as... [Pg.27]

Because the 2 and x components of the spin operators do not commute, the partition function cannot be factorized simply into an interaction part and a transverse-field part. However, we can use the Trotter product formula, ... [Pg.185]

The foregoing developments are physically significant as guaranteed by Trotter s product formula [59,60]... [Pg.61]

See other pages where Trotter product formula is mentioned: [Pg.91]    [Pg.92]    [Pg.107]    [Pg.197]    [Pg.200]    [Pg.91]    [Pg.92]    [Pg.107]    [Pg.197]    [Pg.200]    [Pg.95]   
See also in sourсe #XX -- [ Pg.27 , Pg.241 ]



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