Difference between revisions of "St product table.m"
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| − | == | + | ==Parameters== |
nlevels - the number of energy levels in the system | nlevels - the number of energy levels in the system | ||
| Line 15: | Line 15: | ||
pt_left, pt_right - structure coefficients in the conventions: | pt_left, pt_right - structure coefficients in the conventions: | ||
| − | + | ||
S{n}*S{m}=...+pt_left(n,m,k)*S{k}+... | S{n}*S{m}=...+pt_left(n,m,k)*S{k}+... | ||
| − | + | ||
S{m}*S{n}=...+pt_right(n,m,k)*S{k}+... | S{m}*S{n}=...+pt_right(n,m,k)*S{k}+... | ||
| − | + | ||
corresponding to the expansion of the left and | corresponding to the expansion of the left and | ||
right multiplicative action by S{n} on S{m}. | right multiplicative action by S{n} on S{m}. | ||
Numbering translation between single and double | Numbering translation between single and double | ||
indices is given by kq2lin.m and lin2kq.m | indices is given by kq2lin.m and lin2kq.m | ||
| + | |||
| + | ==Notes== | ||
| + | The expansion of the left and the right multiplicative action by S{n} on S{m} is given in Eq 7.18 of the first edition of IK's book; the normalisation is missing in the book, that is a typo. | ||
| + | |||
| + | These are expensive tables, disk cache is used automatically. | ||
==See also== | ==See also== | ||
| − | [[bos_product_table.m]], [[lin2kq.m]], [[kq2lin.m]], [[Kernel_utilities | + | [[bos_product_table.m]], [[lin2kq.m]], [[kq2lin.m]], [[autoexec.m]], [[fft_freq_axis.m]], [[fwhm2rlx.m]], [[icm2hz.m]], [[ifft_time_axis.m]], [[intrep.m]], [[istraceless.m]], [[kronm.m]], [[lcurve.m]], [[min_int_type.m]], [[prune_subgraphs.m]], [[redfield_integral_async.m]], [[redfield_integral_serial.m]], [[repcols.m]], [[reprows.m]], [[serpentine.m]], [[tikhol1n.m]], [[unihash.m]], [[which_subst.m]], [[xyz2hfc.m]], [[Kernel_utilities]] |
''Version 2.11, authors: [[Ilya Kuprov]]'' | ''Version 2.11, authors: [[Ilya Kuprov]]'' | ||
Latest revision as of 08:39, 30 August 2026
Structure coefficient tables for single transition operators.
Syntax
[pt_left,pt_right]=st_product_table(nlevels)
Parameters
nlevels - the number of energy levels in the system
Outputs
pt_left, pt_right - structure coefficients in the conventions:
S{n}*S{m}=...+pt_left(n,m,k)*S{k}+...
S{m}*S{n}=...+pt_right(n,m,k)*S{k}+...
corresponding to the expansion of the left and
right multiplicative action by S{n} on S{m}.
Numbering translation between single and double
indices is given by kq2lin.m and lin2kq.m
Notes
The expansion of the left and the right multiplicative action by S{n} on S{m} is given in Eq 7.18 of the first edition of IK's book; the normalisation is missing in the book, that is a typo.
These are expensive tables, disk cache is used automatically.
See also
bos_product_table.m, lin2kq.m, kq2lin.m, autoexec.m, fft_freq_axis.m, fwhm2rlx.m, icm2hz.m, ifft_time_axis.m, intrep.m, istraceless.m, kronm.m, lcurve.m, min_int_type.m, prune_subgraphs.m, redfield_integral_async.m, redfield_integral_serial.m, repcols.m, reprows.m, serpentine.m, tikhol1n.m, unihash.m, which_subst.m, xyz2hfc.m, Kernel_utilities
Version 2.11, authors: Ilya Kuprov
