Difference between revisions of "Bos product table.m"

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  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-

Revision as of 12:23, 25 April 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)

Arguments

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.
sarbojoy.das@weizmann.ac.il
ilya.kuprov@weizmann.ac.il

See also

boson_mono.m, boson_ortho.m, st_product_table.m, State space indexing and manipulation