Redfield integral serial.m - Revision history

Kuprov: sync with Spinach main f053e432: Nakajima-Zwanzig support, rlx_onshell/rlx_shift

2026-08-30T06:04:34Z

sync with Spinach main f053e432: Nakajima-Zwanzig support, rlx_onshell/rlx_shift

Kuprov: Update function See also links and function index membership

2026-06-06T18:40:48Z

Update function See also links and function index membership

Kuprov: Polish opening prose above Syntax section

2026-06-05T18:16:19Z

Polish opening prose above Syntax section

Kuprov: Move Description section into pre-Syntax prose

2026-06-05T18:01:51Z

Move Description section into pre-Syntax prose

Kuprov: Rename Arguments section heading to Parameters

2026-06-05T17:51:50Z

Rename Arguments section heading to Parameters

Kuprov: Spot-edit Spinach function page first-line NOTOC and template fields

2026-06-05T17:29:50Z

Spot-edit Spinach function page first-line NOTOC and template fields

Admin: Created page with "Redfield integral evaluation, the serial path. ==Syntax== none - this is an include file ==Description== This include is called from within relaxation.m and follow..."

2017-07-14T10:43:58Z

Created page with "Redfield integral evaluation, the serial path. ==Syntax== none - this is an include file ==Description== This include is called from within relaxation.m and follow..."

New page

Redfield integral evaluation, the serial path.

==Syntax==

none - this is an include file

==Description==
This include is called from within [[relaxation.m]] and follows the notation used in IK's paper:

http://dx.doi.org/10.1016/j.jmr.2010.12.004

with the difference that the numerical quadrature method proposed there has been superceded by the much faster auxiliary matrix method described in:

http://dx.doi.org/10.1063/1.4928978

This include is called when relaxation.m is not at the top of the parallelisation call stack. It uses a simple for loop to calculate the components of the Redfield superoperator. You should not be calling it directly: this is the deep end of ''Spinach'' kernel programming that is open source as a matter of policy, but is ultimately a very technical module.

==See also==
[[relaxation.m]], [[redfield_integral_async.m]]

''Version 1.10, authors: [[Ilya Kuprov]]''

@@ Line 1: / Line 1: @@
 {{DISPLAYTITLE:redfield_integral_serial.m}} __NOTOC__
-Evaluates the Redfield integral through the serial path used inside [[relaxation.m]], following the notation of IK's paper (http://dx.doi.org/10.1016/j.jmr.2010.12.004) but replacing the numerical quadrature proposed there with the faster auxiliary matrix method described in http://dx.doi.org/10.1063/1.4928978; this include is used when relaxation.m is not at the top of the parallelisation call stack, while the asynchronous include is used when it is, and it should not be called directly.
+Bloch-Wangsness-Redfield and Nakajima-Zwanzig integral evaluation through the serial path used inside [[relaxation.m]], following the notation of IK's paper (http://dx.doi.org/10.1016/j.jmr.2010.12.004) but replacing the numerical quadrature proposed there with the faster auxiliary matrix method described in http://dx.doi.org/10.1063/1.4928978; this include is used when relaxation.m is not at the top of the parallelisation call stack, while the asynchronous include is used when it is, and it should not be called directly.
 ==Syntax==

@@ Line 1: / Line 1: @@
 {{DISPLAYTITLE:redfield_integral_serial.m}} __NOTOC__
-Redfield integral evaluation, the serial path.
+Evaluates the Redfield integral through the serial path used inside [[relaxation.m]], following the notation of IK's paper (http://dx.doi.org/10.1016/j.jmr.2010.12.004) but replacing the numerical quadrature proposed there with the faster auxiliary matrix method described in http://dx.doi.org/10.1063/1.4928978; this include is used when relaxation.m is not at the top of the parallelisation call stack, while the asynchronous include is used when it is, and it should not be called directly.
 ==Syntax==

@@ Line 17: / Line 17: @@
 This include is called when relaxation.m is not at the top of the parallelisation call stack. It uses a simple for loop to calculate the components of the Redfield superoperator. You should not be calling it directly: this is the deep end of ''Spinach'' kernel programming that is open source as a matter of policy, but is ultimately a very technical module.
-==Arguments==
+==Parameters==
       This include file is not called directly.

@@ Line 15: / Line 15: @@
 ==See also==
-[[relaxation.m]], [[redfield_integral_async.m]]
+[[relaxation.m]], [[redfield_integral_async.m]], [[autoexec.m]], [[bos_product_table.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]], [[repcols.m]], [[reprows.m]], [[serpentine.m]], [[st_product_table.m]], [[tikhol1n.m]], [[unihash.m]], [[which_subst.m]], [[xyz2hfc.m]], [[Kernel_utilities]]
 ''Version 1.10, authors: [[Ilya Kuprov]]''