nambu_m Module

This module defines the new data type 'nambu', which represents 4×4 complex matrices in spin and particle-hole space. It overloads arithmetic operators to work with the new type and exports relevant Pauli matrices as constants.

Interfaces

public interface inverse

• private pure function nambu_inv(this) result(r)

  Calculates the inverse of the nambu matrix.

  Arguments

  Type	Intent	Optional	Attributes		Name
  class(nambu),	intent(in)			::	this

  Return Value type(nambu)

public interface trace

• private elemental function nambu_trace(this) result(r)

  Calculates the trace of the nambu matrix.

  Arguments

  Type	Intent	Optional	Attributes		Name
  class(nambu),	intent(in)			::	this

  Return Value complex(kind=wp)

public interface sum

• private pure function nambu_sum(this) result(r)

  Calculates the sum of an array of nambu matrices.

  Arguments

  Type	Intent	Optional	Attributes		Name
  class(nambu),	intent(in)			::	this(:)

  Return Value type(nambu)

public interface conjg

• private elemental function nambu_conjg(this) result(r)

  Calculates the complex conjugate of the nambu matrix.

  Arguments

  Type	Intent	Optional	Attributes		Name
  class(nambu),	intent(in)			::	this

  Return Value type(nambu)

public interface nambuv

• private pure function nambuv_scalar(n) result(r)

  Constructs basis matrix number n in spin-nambu space.

  Arguments

  Type	Intent	Optional	Attributes		Name
  integer,	intent(in)			::	n

  Return Value type(nambu)

• private pure function nambuv_vector(v) result(r)

  Constructs a matrix representation of a vector.

  Arguments

  Type	Intent	Optional	Attributes		Name
  real(kind=wp),	intent(in),		dimension(1:3)	::	v

  Return Value type(nambu)

Derived Types

type, public ::  nambu

Components

Type	Visibility	Attributes		Name		Initial
complex(kind=wp),	public		::	matrix(4,4)	=	0.0_wp

Type-Bound Procedures

generic, public :: nambu => cons_rscalar, cons_cscalar, cons_cmatrix, cons_nambu
generic, public :: assignment(=) => assr_rscalar, assr_cscalar, assr_cmatrix, assl_cmatrix
generic, public :: operator(+) => addl_rscalar, addr_rscalar, addl_cscalar, addr_cscalar, addl_cmatrix, addr_cmatrix, add_nambu
generic, public :: operator(-) => subl_rscalar, subr_rscalar, subl_cscalar, subr_cscalar, subl_cmatrix, subr_cmatrix, sub_nambu
generic, public :: operator(*) => mull_rscalar, mulr_rscalar, mull_cscalar, mulr_cscalar, mull_cmatrix, mulr_cmatrix, mul_nambu
generic, public :: operator(/) => divr_rscalar, divr_cscalar
generic, public :: operator(**) => expr_iscalar