Bos product table.m - Revision history

Kuprov: Update function See also links and function index membership

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Update function See also links and function index membership

Kuprov: Rename Arguments section heading to Parameters

2026-06-05T17:47:33Z

Rename Arguments section heading to Parameters

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{{DISPLAYTITLE:bos_product_table.m}} __NOTOC__

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

@@ Line 30: / Line 30: @@
 ==See also==
-[[boson_mono.m]], [[boson_ortho.m]], [[st_product_table.m]], [[Kernel_utilities#State_space_indexing_and_manipulation|State space indexing and manipulation]]
+[[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]]''

@@ Line 28: / Line 28: @@
         used automatically.
 ==See also==
 [[boson_mono.m]], [[boson_ortho.m]], [[st_product_table.m]], [[Kernel_utilities#State_space_indexing_and_manipulation|State space indexing and manipulation]]

← Older revision		Revision as of 11:23, 25 April 2026
Line 12:		Line 12:

	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-

← Older revision		Revision as of 11:15, 25 April 2026
Line 31:		Line 31:
	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]]

@@ Line 9: / Line 9: @@
   [product_table_left,product_table_right]=bos_product_table(nlevels)
-==Arguments==
+==Parameters==
   nlevels - number of bosonic ladder population levels

@@ Line 12: / Line 12: @@
   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.