function_integration_gbl::bessel_fn Type Reference

Bessel function \(J_{l+1/2}(kr)\), of half integral order \(l\) multiplied by \(r^{p}\): \(r^{p}J_{l+1/2}(kr)\). This function can be used to calculate representation of the Bessel orbital in terms of the B-spline orbitals. More...

Inheritance diagram for function_integration_gbl::bessel_fn:

Collaboration diagram for function_integration_gbl::bessel_fn:

Public Member Functions
procedure	wp_eval (data, x)
	Bessel function \(J_{l+1/2}(kr)\) at \(r\).
procedure	ep_eval (data, x)
	Bessel function \(J_{l+1/2}(kr)\) at \(r\).
Public Member Functions inherited from general_quadrature_gbl::function_1d
generic, public	eval wp_eval
	This must be used in all routines using this object to evaluate the function. This symbol is resolved into one of wp_eval, ep_eval depending on the floating point type of X on input.
generic, public	eval ep_eval
	This must be used in all routines using this object to evaluate the function. This symbol is resolved into one of wp_eval, ep_eval depending on the floating point type of X on input.
procedure(wp_user_function_interface), deferred	wp_eval (data, x)
procedure(ep_user_function_interface), deferred	ep_eval (data, x)

Public Attributes
integer	l
	Angular momentum of the Bessel function.
real(kind=cfp)	k
	Linear momentum.
integer	p
	Power of the radial coordinate.
Public Attributes inherited from general_quadrature_gbl::function_1d
integer	neval = 0
	Number of function evaulation, number of subdivisions (applicable for adaptive quadratures).
integer	ndiv = 0
integer	max_div = 2*limit
	Maximum number of sub-divisions of the area to integrate over.

Detailed Description

Bessel function \(J_{l+1/2}(kr)\), of half integral order \(l\) multiplied by \(r^{p}\): \(r^{p}J_{l+1/2}(kr)\). This function can be used to calculate representation of the Bessel orbital in terms of the B-spline orbitals.

Member Function/Subroutine Documentation

ep_eval()

procedure function_integration_gbl::bessel_fn::ep_eval	(	class(bessel_fn)	data,
		real(ep1), intent(in)	x )

Bessel function \(J_{l+1/2}(kr)\) at \(r\).

wp_eval()

procedure function_integration_gbl::bessel_fn::wp_eval	(	class(bessel_fn)	data,
		real(wp), intent(in)	x )

Bessel function \(J_{l+1/2}(kr)\) at \(r\).

Member Data Documentation

k

real(kind=cfp) function_integration_gbl::bessel_fn::k

Linear momentum.

l

integer function_integration_gbl::bessel_fn::l

Angular momentum of the Bessel function.

p

integer function_integration_gbl::bessel_fn::p

Power of the radial coordinate.

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The documentation for this type was generated from the following file:

• /scratch.ssd/codes/ukrmol-in-git/source/gbtolib/source/function_integration.f90