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 | ||
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| + | ==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