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java.lang.Object | +--GenRecoupCoeff
Class representing a General Recoupling Coefficient of Angular Momenta in terms of 6j-coefficients, which is gradually build by the graphical methods developed by Yutsis and Vanagas by performing reduction operations on the corresponding YutsisGraph.
YutsisGraph
,
Edge
,
GRCompoundFactor
,
GRSummation
,
GRFactor
,
GRVisitor
Constructor Summary | |
GenRecoupCoeff(GenRecoupCoeff grc)
Constructs an exact copy of the given GenRecoupCoeff. |
|
GenRecoupCoeff(int order,
java.lang.String root,
java.lang.String[] a,
java.lang.String[] b,
java.lang.String[] s)
Constructs a new General Recoupling Coefficient with rootnode root , left intermediate angular momenta
a[0]... |
Method Summary | |
void |
accept(GRVisitor v)
Implementation of the Visitor pattern. |
void |
bubble(java.lang.String l1,
java.lang.String l2)
Appends a factor (2*l1+1)^(-1)*delta(l1,l2) to this
General Recoupling Coefficient as a consequence of the removal of
a bubble between the edges with labels l1, l2 in the
corresponding YutsisGraph. |
java.lang.Object |
clone()
Implementation of the Cloneable interface. |
void |
interchange(java.lang.String e,
java.lang.String b,
java.lang.String c,
java.lang.String a,
java.lang.String d,
java.lang.String f)
Appends the summation factor sum(f)(2f+1){a, b, f; d, c,
e} (Wigner 6j-symbol) to this Genereal Recoupling
Coefficient as a consequence of an interchange on the edge
with label e interchanging the edges
b,c which (respectively) neighboredges a, d
in the corresponding YutsisGraph. |
void |
invertEdge(java.lang.String j)
Appends a factor (-1)^(2*j) to this General
Recoupling Coefficient as a consequence of the invertion of
the Edge with label j in the corresponding
YutsisGraph. |
void |
invertNode(java.lang.String[] j)
Appends a factor (-1)^(j[0] + j[1] + j[2]) to this
General Recoupling Coefficient as a consequence of the invertion
of the node sign in wich j[0],j[1],j[2] are coupled
in the corresponding YutsisGraph. |
int |
nrOf6js()
Returns the number of Wigner 6j-symbols in this General Recoupling Coefficient (in its current state). |
int |
nrOfSummations()
Returns the number of summationindices in this General Recoupling Coefficient. |
java.lang.String |
toString()
Returns a String representation of this General Recoupling Coefficient. |
void |
triangle(java.lang.String[] l,
java.lang.String[] j)
Appends a factor {j[0], j[1], j[2];l[0], l[1], l[2]}
(Wigner 6j-symbol) to this Genereal Recoupling Coefficient as
a consequence of the removal of a the triangle l[0], l[1],
l[2] with neighboredges j[0], j[1], j[2] such
that j[i] |
Methods inherited from class java.lang.Object |
equals, finalize, getClass, hashCode, notify, notifyAll, wait, wait, wait |
Constructor Detail |
public GenRecoupCoeff(int order, java.lang.String root, java.lang.String[] a, java.lang.String[] b, java.lang.String[] s)
root
, left intermediate angular momenta
a[0]... a[a.length-1]
, right intermediate
angular momenta b[0]... b[b.length-1]
and s all
first coupled momenta (with doubles if a angular momenta is
first coupled in both trees) with expected number of
summationvariables specified by order
.
order
- the order of the corresponding YutsisGraphroot
- the label of the root Edge of the
YutsisGrapha
- array containing the labels of the intermediate angular
momenta of the BRA of the general recoupling coefficientb
- array containing the labels of the intermediate angular
momenta of the KET of the general recoupling coefficients
- array containing the labels of all first coupled angular
momentapublic GenRecoupCoeff(GenRecoupCoeff grc)
grc
- the GenRecoupCoeff object to be duplicatedMethod Detail |
public int nrOf6js()
public int nrOfSummations()
public java.lang.String toString()
toString
in class java.lang.Object
public void accept(GRVisitor v)
v
- the GRVisitor to be acceptedGRVisitor
public void invertNode(java.lang.String[] j)
(-1)^(j[0] + j[1] + j[2])
to this
General Recoupling Coefficient as a consequence of the invertion
of the node sign in wich j[0],j[1],j[2]
are coupled
in the corresponding YutsisGraph.
j
- the labels of the Edges coupled in the inverted nodeYutsisGraph
public void invertEdge(java.lang.String j)
(-1)^(2*j)
to this General
Recoupling Coefficient as a consequence of the invertion of
the Edge with label j
in the corresponding
YutsisGraph.
j
- the label of the inverted EdgeEdge
,
YutsisGraph
public void bubble(java.lang.String l1, java.lang.String l2)
(2*l1+1)^(-1)*delta(l1,l2)
to this
General Recoupling Coefficient as a consequence of the removal of
a bubble between the edges with labels l1, l2
in the
corresponding YutsisGraph.
l1
- the label of the Edge coming out the bubblel2
- the label of the Edge entering the bubbleEdge
,
YutsisGraph
public void triangle(java.lang.String[] l, java.lang.String[] j)
{j[0], j[1], j[2];l[0], l[1], l[2]}
(Wigner 6j-symbol) to this Genereal Recoupling Coefficient as
a consequence of the removal of a the triangle l[0], l[1],
l[2]
with neighboredges j[0], j[1], j[2]
such
that j[i] is not coupled with l[i]
in
the corresponding YutsisGraph.
- Parameters:
l
- array containing the labels of the Edges of the
trianglej
- array containg the labels of the Edges coming out
the triangle- See Also:
Edge
,
YutsisGraph
public void interchange(java.lang.String e, java.lang.String b, java.lang.String c, java.lang.String a, java.lang.String d, java.lang.String f)
sum(f)(2f+1){a, b, f; d, c,
e}
(Wigner 6j-symbol) to this Genereal Recoupling
Coefficient as a consequence of an interchange on the edge
with label e
interchanging the edges
b,c
which (respectively) neighboredges a, d
in the corresponding YutsisGraph. f
is
the new label of the edge with label e
.
e
- the label of the Edge on which the interchange is appliedb
- label of an Edge to be interchangedc
- label of an Edge to be interchangeda
- label of the Edge coupled with e and bd
- label of the Edge coupled with e and cf
- new label of the Edge eEdge
,
YutsisGraph
public java.lang.Object clone()
clone
in class java.lang.Object
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