Difference between revisions of "Bos product table.m"

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  sarbojoy.das@weizmann.ac.il
 
  sarbojoy.das@weizmann.ac.il
 
  ilya.kuprov@weizmann.ac.il
 
  ilya.kuprov@weizmann.ac.il
 +
 +
==See also==
 +
[[boson_mono.m]], [[boson_ortho.m]], [[st_product_table.m]], [[Kernel_utilities#State_space_indexing_and_manipulation|State space indexing and manipulation]]

Revision as of 12:15, 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