Struct MultiDeterminant

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pub struct MultiDeterminant<'a, T, B, SC>
where T: ComplexFloat + Lapack, SC: StructureConstraint + Hash + Eq + Display, B: Basis<SlaterDeterminant<'a, T, SC>> + Clone,
{ /* private fields */ }
Expand description

Structure to manage multi-determinantal wavefunctions.

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impl<'a, T, B, SC> MultiDeterminant<'a, T, B, SC>
where T: ComplexFloat + Lapack, SC: StructureConstraint + Hash + Eq + Clone + Display, B: Basis<SlaterDeterminant<'a, T, SC>> + Clone,

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pub fn builder() -> MultiDeterminantBuilder<'a, T, B, SC>

Returns a builder to construct a new MultiDeterminant.

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pub fn structure_constraint(&self) -> SC

Returns the structure constraint of the multi-determinantal wavefunction.

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impl<'a, T, B, SC> MultiDeterminant<'a, T, B, SC>
where T: ComplexFloat + Lapack, SC: StructureConstraint + Hash + Eq + Display, B: Basis<SlaterDeterminant<'a, T, SC>> + Clone,

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pub fn complex_conjugated(&self) -> bool

Returns the complex-conjugated flag of the multi-determinantal wavefunction.

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pub fn basis(&self) -> &B

Returns the basis of determinants in which this multi-determinantal wavefunction is defined.

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pub fn coefficients(&self) -> &Array1<T>

Returns the coefficients of the basis determinants constituting this multi-determinantal wavefunction.

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pub fn energy(&self) -> Result<&T, &String>

Returns the energy of the multi-determinantal wavefunction.

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pub fn threshold(&self) -> <T as ComplexFloat>::Real

Returns the threshold with which multi-determinantal wavefunctions are compared.

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impl<'a, T, B, SC> Clone for MultiDeterminant<'a, T, B, SC>
where T: ComplexFloat + Lapack + Clone, SC: StructureConstraint + Hash + Eq + Display + Clone, B: Basis<SlaterDeterminant<'a, T, SC>> + Clone + Clone,

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fn clone(&self) -> MultiDeterminant<'a, T, B, SC>

Returns a copy of the value. Read more
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fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more
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impl<'a, T, B, SC> ComplexConjugationTransformable for MultiDeterminant<'a, T, B, SC>

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fn transform_cc_mut(&mut self) -> Result<&mut Self, TransformationError>

Performs a complex conjugation in-place.

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fn transform_cc(&self) -> Result<Self, TransformationError>

Performs a complex conjugation and returns the complex-conjugated result. Read more
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impl<'a, T, B, SC> Debug for MultiDeterminant<'a, T, B, SC>
where T: ComplexFloat + Lapack, SC: StructureConstraint + Hash + Eq + Display, B: Basis<SlaterDeterminant<'a, T, SC>> + Clone,

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fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter. Read more
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impl<'a, T, B, SC> Display for MultiDeterminant<'a, T, B, SC>
where T: ComplexFloat + Lapack, SC: StructureConstraint + Hash + Eq + Display, B: Basis<SlaterDeterminant<'a, T, SC>> + Clone,

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fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter. Read more
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impl<'a, T, B, SC> Overlap<T, Dim<[usize; 2]>> for MultiDeterminant<'a, T, B, SC>
where T: Lapack + ComplexFloat<Real = <T as Scalar>::Real> + Debug + Mul<<T as ComplexFloat>::Real, Output = T>, <T as ComplexFloat>::Real: Debug + RelativeEq<<T as ComplexFloat>::Real> + AbsDiffEq<Epsilon = <T as Scalar>::Real>, SC: StructureConstraint + Hash + Eq + Clone + Display, B: Basis<SlaterDeterminant<'a, T, SC>> + Clone,

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fn overlap( &self, other: &Self, metric: Option<&Array2<T>>, metric_h: Option<&Array2<T>>, ) -> Result<T, Error>

Computes the overlap between two multi-determinantal wavefunctions.

Determinants with fractional electrons are currently not supported.

When one or both of the multi-determinantal wavefunctions have been acted on by an antiunitary operation, the correct Hermitian or complex-symmetric metric will be chosen in the evalulation of the overlap.

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  • metric - The atomic-orbital overlap matrix with respect to the conventional sesquilinear inner product.
  • metric_h - The atomic-orbital overlap matrix with respect to the bilinear inner product.
§Panics

Panics if self and other have mismatched spin constraints or numbers of coefficient matrices, or if fractional occupation numbers are detected.

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fn overlap_definition(&self) -> String

Returns the mathematical definition of the overlap between two multi-determinantal wavefunctions.

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fn complex_symmetric(&self) -> bool

If true, the inner product is bilinear and $\hat{\iota} = \hat{\kappa}$. If false, the inner product is sesquilinear and $\hat{\iota} = \mathrm{id}$.
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impl<'a, T, B, SC> SpatialUnitaryTransformable for MultiDeterminant<'a, T, B, SC>

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fn transform_spatial_mut( &mut self, rmat: &Array2<f64>, perm: Option<&Permutation<usize>>, ) -> Result<&mut Self, TransformationError>

Performs a spatial transformation in-place. Read more
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fn transform_spatial( &self, rmat: &Array2<f64>, perm: Option<&Permutation<usize>>, ) -> Result<Self, TransformationError>

Performs a spatial transformation and returns the transformed result. Read more
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impl<'a, T, B, SC> SpinUnitaryTransformable for MultiDeterminant<'a, T, B, SC>

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fn transform_spin_mut( &mut self, dmat: &Array2<Complex<f64>>, ) -> Result<&mut Self, TransformationError>

Performs a spin transformation in-place. Read more
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fn transform_spin( &self, dmat: &Array2<Complex<f64>>, ) -> Result<Self, TransformationError>

Performs a spin transformation and returns the transformed result. Read more
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impl<'a, T, SC> SymmetryTransformable for MultiDeterminant<'a, T, EagerBasis<SlaterDeterminant<'a, T, SC>>, SC>

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fn sym_permute_sites_spatial( &self, symop: &SymmetryOperation, ) -> Result<Permutation<usize>, TransformationError>

Determines the permutation of sites (e.g. atoms in molecules) due to the action of a symmetry operation. Read more
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fn sym_transform_spatial_mut( &mut self, symop: &SymmetryOperation, ) -> Result<&mut Self, TransformationError>

Performs a spatial transformation according to a specified symmetry operation in-place. Read more
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fn sym_transform_spatial( &self, symop: &SymmetryOperation, ) -> Result<Self, TransformationError>

Performs a spatial transformation according to a specified symmetry operation and returns the transformed result. Read more
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fn sym_transform_spatial_with_spintimerev_mut( &mut self, symop: &SymmetryOperation, ) -> Result<&mut Self, TransformationError>

Performs a spatial transformation according to a specified symmetry operation in-place, but with spin-including time reversal. Read more
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fn sym_transform_spatial_with_spintimerev( &self, symop: &SymmetryOperation, ) -> Result<Self, TransformationError>

Performs a spatial transformation according to a specified symmetry operation but with spin-including time reversal and returns the transformed result. Read more
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fn sym_transform_spin_mut( &mut self, symop: &SymmetryOperation, ) -> Result<&mut Self, TransformationError>

Performs a spin transformation according to a specified symmetry operation in-place. Read more
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fn sym_transform_spin( &self, symop: &SymmetryOperation, ) -> Result<Self, TransformationError>

Performs a spin transformation according to a specified symmetry operation and returns the transformed result. Read more
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fn sym_transform_spin_spatial_mut( &mut self, symop: &SymmetryOperation, ) -> Result<&mut Self, TransformationError>

Performs a coupled spin-spatial transformation according to a specified symmetry operation in-place. Read more
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fn sym_transform_spin_spatial( &self, symop: &SymmetryOperation, ) -> Result<Self, TransformationError>

Performs a coupled spin-spatial transformation according to a specified symmetry operation and returns the transformed result. Read more
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impl<'a, 'go, G, T, SC> SymmetryTransformable for MultiDeterminant<'a, T, OrbitBasis<'go, G, SlaterDeterminant<'a, T, SC>>, SC>

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fn sym_permute_sites_spatial( &self, symop: &SymmetryOperation, ) -> Result<Permutation<usize>, TransformationError>

Determines the permutation of sites (e.g. atoms in molecules) due to the action of a symmetry operation. Read more
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fn sym_transform_spatial_mut( &mut self, symop: &SymmetryOperation, ) -> Result<&mut Self, TransformationError>

Performs a spatial transformation according to a specified symmetry operation in-place. Read more
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fn sym_transform_spatial_with_spintimerev_mut( &mut self, symop: &SymmetryOperation, ) -> Result<&mut Self, TransformationError>

Performs a spatial transformation according to a specified symmetry operation in-place, but with spin-including time reversal. Read more
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fn sym_transform_spin_mut( &mut self, symop: &SymmetryOperation, ) -> Result<&mut Self, TransformationError>

Performs a spin transformation according to a specified symmetry operation in-place. Read more
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fn sym_transform_spin_spatial_mut( &mut self, symop: &SymmetryOperation, ) -> Result<&mut Self, TransformationError>

Performs a coupled spin-spatial transformation according to a specified symmetry operation in-place. Read more
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fn sym_transform_spatial( &self, symop: &SymmetryOperation, ) -> Result<Self, TransformationError>

Performs a spatial transformation according to a specified symmetry operation and returns the transformed result. Read more
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fn sym_transform_spatial_with_spintimerev( &self, symop: &SymmetryOperation, ) -> Result<Self, TransformationError>

Performs a spatial transformation according to a specified symmetry operation but with spin-including time reversal and returns the transformed result. Read more
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fn sym_transform_spin( &self, symop: &SymmetryOperation, ) -> Result<Self, TransformationError>

Performs a spin transformation according to a specified symmetry operation and returns the transformed result. Read more
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fn sym_transform_spin_spatial( &self, symop: &SymmetryOperation, ) -> Result<Self, TransformationError>

Performs a coupled spin-spatial transformation according to a specified symmetry operation and returns the transformed result. Read more
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impl<'a> TimeReversalTransformable for MultiDeterminant<'a, Complex<f64>, EagerBasis<SlaterDeterminant<'a, Complex<f64>, SpinOrbitCoupled>>, SpinOrbitCoupled>

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fn transform_timerev_mut(&mut self) -> Result<&mut Self, TransformationError>

Performs a time-reversal transformation in-place.
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fn transform_timerev(&self) -> Result<Self, TransformationError>

Performs a time-reversal transformation and returns the time-reversed result. Read more
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impl<'a, 'g, G> TimeReversalTransformable for MultiDeterminant<'a, Complex<f64>, OrbitBasis<'g, G, SlaterDeterminant<'a, Complex<f64>, SpinOrbitCoupled>>, SpinOrbitCoupled>
where G: GroupProperties<GroupElement = SymmetryOperation> + Clone,

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fn transform_timerev_mut(&mut self) -> Result<&mut Self, TransformationError>

Performs a time-reversal transformation in-place.
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fn transform_timerev(&self) -> Result<Self, TransformationError>

Performs a time-reversal transformation and returns the time-reversed result. Read more
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impl<'a, T, B, SC> DefaultTimeReversalTransformable for MultiDeterminant<'a, T, B, SC>

Auto Trait Implementations§

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impl<'a, T, B, SC> Freeze for MultiDeterminant<'a, T, B, SC>
where B: Freeze, <T as ComplexFloat>::Real: Freeze, T: Freeze,

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impl<'a, T, B, SC> RefUnwindSafe for MultiDeterminant<'a, T, B, SC>

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impl<'a, T, B, SC> Send for MultiDeterminant<'a, T, B, SC>
where B: Send, <T as ComplexFloat>::Real: Send, SC: Send, T: Send,

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impl<'a, T, B, SC> Sync for MultiDeterminant<'a, T, B, SC>
where B: Sync, <T as ComplexFloat>::Real: Sync, SC: Sync, T: Sync,

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impl<'a, T, B, SC> Unpin for MultiDeterminant<'a, T, B, SC>
where B: Unpin, <T as ComplexFloat>::Real: Unpin, SC: Unpin, T: Unpin,

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impl<'a, T, B, SC> UnwindSafe for MultiDeterminant<'a, T, B, SC>

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fn transform_timerev_mut(&mut self) -> Result<&mut T, TransformationError>

Performs a time-reversal transformation in-place.

The default implementation of the time-reversal transformation for any type that implements SpinUnitaryTransformable and ComplexConjugationTransformable is a spin rotation by $\pi$ about the space-fixed $y$-axis followed by a complex conjugation.

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fn transform_timerev(&self) -> Result<Self, TransformationError>

Performs a time-reversal transformation and returns the time-reversed result. Read more
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