Difference between revisions of "Bos product table.m"

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  [product_table_left,product_table_right]=bos_product_table(nlevels)
 
  [product_table_left,product_table_right]=bos_product_table(nlevels)
  
==Arguments==
+
==Parameters==
  
 
  nlevels - number of bosonic ladder population levels
 
  nlevels - number of bosonic ladder population levels
 
+
 
 
 
  The output contains the structure coefficients in the follow-
 
  The output contains the structure coefficients in the follow-
 
  ing lowing conventions:
 
  ing lowing conventions:
 
+
 
       B{n}*B{m}=...+product_table_left(n,m,k)*B{k}+...
 
       B{n}*B{m}=...+product_table_left(n,m,k)*B{k}+...
 
+
 
       B{m}*B{n}=...+product_table_right(n,m,k)*B{k}+...
 
       B{m}*B{n}=...+product_table_right(n,m,k)*B{k}+...
 
+
 
  corresponding to the expansion of the left and the right mul-
 
  corresponding to the expansion of the left and the right mul-
 
  tiplicative action by B{n} on B{m} as given in Eq 7.18 of the
 
  tiplicative action by B{n} on B{m} as given in Eq 7.18 of the
 
  first edition of IK's book (normalisation is missing in the
 
  first edition of IK's book (normalisation is missing in the
 
  book, that's a typo).
 
  book, that's a typo).
 
+
 
  Note: these are expensive tables, a disk cache is created and
 
  Note: these are expensive tables, a disk cache is created and
 
       used automatically.
 
       used automatically.
  
sarbojoy.das@weizmann.ac.il
+
 
ilya.kuprov@weizmann.ac.il
+
==See also==
 +
[[boson_mono.m]], [[boson_ortho.m]], [[st_product_table.m]], [[autoexec.m]], [[fft_freq_axis.m]], [[fwhm2rlx.m]], [[icm2hz.m]], [[ifft_time_axis.m]], [[intrep.m]], [[istraceless.m]], [[kq2lin.m]], [[kronm.m]], [[lcurve.m]], [[lin2kq.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: [[Sarbojoy Das]], [[Ilya Kuprov]]''

Latest revision as of 19:34, 6 June 2026


Structure coefficient tables for the associative envelopes of truncated Weyl algebras spanned by orthogonalised bosonic mo- nomials.

Syntax

[product_table_left,product_table_right]=bos_product_table(nlevels)

Parameters

nlevels - number of bosonic ladder population levels

The output contains the structure coefficients in the follow-
ing lowing conventions:

      B{n}*B{m}=...+product_table_left(n,m,k)*B{k}+...

      B{m}*B{n}=...+product_table_right(n,m,k)*B{k}+...

corresponding to the expansion of the left and the right mul-
tiplicative action by B{n} on B{m} as given in Eq 7.18 of the
first edition of IK's book (normalisation is missing in the
book, that's a typo).

Note: these are expensive tables, a disk cache is created and
      used automatically.


See also

boson_mono.m, boson_ortho.m, st_product_table.m, autoexec.m, fft_freq_axis.m, fwhm2rlx.m, icm2hz.m, ifft_time_axis.m, intrep.m, istraceless.m, kq2lin.m, kronm.m, lcurve.m, lin2kq.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: Sarbojoy Das, Ilya Kuprov