Difference between revisions of "Bos product table.m"

From Spinach Documentation Wiki
Jump to: navigation, search
m (Normalise preformatted blank lines in function documentation blocks)
m (Rename Arguments section heading to Parameters)
Line 9: Line 9:
 
  [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

Revision as of 18:47, 5 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, State space indexing and manipulation

Version 2.11, authors: Sarbojoy Das, Ilya Kuprov