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NAME

       sc::OneBodyWavefunction - A OneBodyWavefunction is a MolecularEnergy that solves an
       effective one-body problem.

SYNOPSIS

       #include <obwfn.h>

       Inherits sc::Wavefunction.

       Inherited by sc::ExtendedHuckelWfn, sc::HCoreWfn, and sc::SCF.

   Public Member Functions
       OneBodyWavefunction (StateIn &)
       OneBodyWavefunction (const Ref< KeyVal > &)
           The KeyVal constructor.
       void save_data_state (StateOut &)
           Save the base classes (with save_data_state) and the members in the same order that
           the StateIn CTOR initializes them.
       int nelectron ()
           Returns the number of electrons.
       void set_desired_value_accuracy (double eps)
           Overload of Function::set_desired_value_accuracy().
       RefSCMatrix so_to_mo ()
           Returns the SO to MO transformation matrix.
       RefSCMatrix orthog_so_to_mo ()
           Returns the orthogonal-SO to MO transformation matrix.
       RefSCMatrix mo_to_so ()
           Returns the MO to SO transformation matrix.
       RefSCMatrix mo_to_orthog_so ()
           Returns the MO to orthogonal-SO transformation matrix.
       RefSCMatrix eigenvectors ()
           Deprecated.
       virtual RefSCMatrix oso_eigenvectors ()=0
           Returns the orthogonal MO (columns) to orthogonal-SO (rows) transformation matrix.
       virtual RefDiagSCMatrix eigenvalues ()=0
           Returns the MO basis eigenvalues.
       virtual double occupation (int irrep, int vectornum)=0
           Returns the occupation.
       double occupation (int vectornum)
           Returns the occupation.
       virtual int spin_unrestricted ()=0
           Return 1 if the alpha orbitals are not equal to the beta orbitals.
       virtual double alpha_occupation (int irrep, int vectornum)
           Returns the alpha occupation.
       virtual double beta_occupation (int irrep, int vectornum)
           Returns the beta occupation.
       double alpha_occupation (int vectornum)
           Returns the alpha occupation.
       double beta_occupation (int vectornum)
           Returns the beta occupation.
       virtual RefSCMatrix oso_alpha_eigenvectors ()
       virtual RefSCMatrix oso_beta_eigenvectors ()
       virtual RefSCMatrix alpha_eigenvectors ()
       virtual RefSCMatrix beta_eigenvectors ()
       virtual RefDiagSCMatrix alpha_eigenvalues ()
       virtual RefDiagSCMatrix beta_eigenvalues ()
       virtual RefDiagSCMatrix projected_eigenvalues (const Ref< OneBodyWavefunction > &, int
           alp=1)
       virtual RefSCMatrix projected_eigenvectors (const Ref< OneBodyWavefunction > &, int alp=1)
           Projects the density into the current basis set.
       virtual RefSCMatrix hcore_guess ()
           Return a guess vector.
       virtual RefSCMatrix hcore_guess (RefDiagSCMatrix &val)
           Return a guess vector and the eigenvalues.
       void symmetry_changed ()
           Call this if you have changed the molecular symmetry of the molecule contained by this
           MolecularEnergy.
       double orbital (const SCVector3 &r, int iorb)
       double orbital_density (const SCVector3 &r, int iorb, double *orbval=0)
       void print (std::ostream &o=ExEnv::out0()) const
           Print information about the object.

       Public Member Functions inherited from sc::Wavefunction
       Wavefunction (StateIn &)
       Wavefunction (const Ref< KeyVal > &)
           The KeyVal constructor.
       void save_data_state (StateOut &)
           Save the base classes (with save_data_state) and the members in the same order that
           the StateIn CTOR initializes them.
       double density (const SCVector3 &)
       double density_gradient (const SCVector3 &, double *)
       double natural_orbital (const SCVector3 &r, int iorb)
       double natural_orbital_density (const SCVector3 &r, int orb, double *orbval=0)
       double orbital (const SCVector3 &r, int iorb, const RefSCMatrix &orbs)
       double orbital_density (const SCVector3 &r, int iorb, const RefSCMatrix &orbs, double
           *orbval=0)
       double charge ()
           Returns the charge.
       virtual RefSymmSCMatrix density ()=0
           Returns the SO density.
       virtual RefSymmSCMatrix ao_density ()
           Returns the AO density.
       virtual RefSCMatrix natural_orbitals ()
           Returns the natural orbitals.
       virtual RefDiagSCMatrix natural_density ()
           Returns the natural density (a diagonal matrix).
       virtual int spin_polarized ()=0
           Return 1 if the alpha density is not equal to the beta density.
       virtual RefSymmSCMatrix alpha_density ()
           Return alpha electron densities in the SO basis.
       virtual RefSymmSCMatrix beta_density ()
           Return beta electron densities in the SO basis.
       virtual RefSymmSCMatrix alpha_ao_density ()
           Return alpha electron densities in the AO basis.
       virtual RefSymmSCMatrix beta_ao_density ()
           Return beta electron densities in the AO basis.
       virtual RefSCMatrix nao (double *atom_charges=0)
           returns the ao to nao transformation matrix
       virtual RefSymmSCMatrix overlap ()
           Returns the SO overlap matrix.
       virtual RefSymmSCMatrix core_hamiltonian ()
           Returns the SO core Hamiltonian.
       virtual double nuclear_repulsion_energy ()
           Returns the nuclear repulsion energy.
       void nuclear_repulsion_energy_gradient (double *g)
           Computes the nuclear repulsion gradient.
       virtual void nuclear_repulsion_energy_gradient (double **g)
           Computes the nuclear repulsion gradient.
       RefSCDimension ao_dimension ()
           Atomic orbital dimension.
       RefSCDimension so_dimension ()
           Symmetry adapted orbital dimension.
       RefSCDimension oso_dimension ()
           Orthogonalized symmetry adapted orbital dimension.
       Ref< SCMatrixKit > basis_matrixkit ()
           Matrix kit for AO, SO, orthogonalized SO, and MO dimensioned matrices.
       Ref< Molecule > molecule () const
           Returns the Molecule.
       Ref< GaussianBasisSet > basis () const
           Returns the basis set.
       Ref< GaussianBasisSet > atom_basis () const
           Returns the basis set describing the nuclear charge distributions.
       const double * atom_basis_coef () const
           Returns the coefficients of the nuclear charge distribution basis functions.
       Ref< Integral > integral ()
           Returns the integral evaluator.
       void symmetry_changed ()
           Call this if you have changed the molecular symmetry of the molecule contained by this
           MolecularEnergy.
       RefSCMatrix so_to_orthog_so ()
           Returns a matrix which does the default transform from SO's to orthogonal SO's.
       RefSCMatrix so_to_orthog_so_inverse ()
           Returns the inverse of the transformation returned by so_to_orthog_so.
       OverlapOrthog::OrthogMethod orthog_method () const
           Returns the orthogonalization method.
       void set_orthog_method (const OverlapOrthog::OrthogMethod &)
           (Re)Sets the orthogonalization method and makes this obsolete
       double lindep_tol () const
           Returns the tolerance for linear dependencies.
       void set_lindep_tol (double)
           Re(Sets) the tolerance for linear dependencies.
       void obsolete ()
           Marks all results as being out of date.
       void print (std::ostream &=ExEnv::out0()) const
           Print information about the object.

       Public Member Functions inherited from sc::MolecularEnergy
       MolecularEnergy (const MolecularEnergy &)
       MolecularEnergy (const Ref< KeyVal > &)
           The KeyVal constructor.
       MolecularEnergy (StateIn &)
       void set_checkpoint ()
           Set up checkpointing.
       void set_checkpoint_file (const char *)
       void set_checkpoint_freq (int freq)
       bool if_to_checkpoint () const
           Check if need to checkpoint.
       const char * checkpoint_file () const
       int checkpoint_freq () const
       MolecularEnergy & operator= (const MolecularEnergy &)
       virtual double energy ()
           A wrapper around value();.
       virtual RefSCDimension moldim () const
       void guess_hessian (RefSymmSCMatrix &)
           Compute a quick, approximate hessian.
       RefSymmSCMatrix inverse_hessian (RefSymmSCMatrix &)
       RefSymmSCMatrix hessian ()
           If a molecule hessian object is given, it will be used to provide a hessian.
       int hessian_implemented () const
       void set_x (const RefSCVector &)
           Set and retrieve the coordinate values.
       RefSCVector get_cartesian_x ()
           Return the cartesian coordinates.
       RefSCVector get_cartesian_gradient ()
           Return the cartesian gradient.
       RefSymmSCMatrix get_cartesian_hessian ()
           Return the cartesian hessian.
       Ref< MolecularCoor > molecularcoor ()
       Ref< NonlinearTransform > change_coordinates ()
           An optimizer can call change coordinates periodically to give the function an
           opportunity to change its coordinate system.
       void print_natom_3 (const RefSCVector &, const char *t=0, std::ostream &o=ExEnv::out0())
           const
           Nicely print n x 3 data that are stored in a vector.
       void print_natom_3 (double **, const char *t=0, std::ostream &o=ExEnv::out0()) const
       void print_natom_3 (double *, const char *t=0, std::ostream &o=ExEnv::out0()) const

       Public Member Functions inherited from sc::Function
       virtual RefSCVector gradient ()
       int gradient_needed () const
       int do_gradient (int)
       virtual void set_desired_gradient_accuracy (double)
       virtual double actual_gradient_accuracy () const
       virtual double desired_gradient_accuracy () const
       AccResultRefSCVector & gradient_result ()
       int hessian_needed () const
       int do_hessian (int)
       virtual void set_desired_hessian_accuracy (double)
       virtual double actual_hessian_accuracy () const
       virtual double desired_hessian_accuracy () const
       AccResultRefSymmSCMatrix & hessian_result ()
       virtual int value_implemented () const
           Information about the availability of values, gradients, and hessians.
       virtual int gradient_implemented () const
       RefSCVector get_x () const
       const RefSCVector & get_x_no_copy () const
       Function (StateIn &)
       Function (const Function &)
       Function (const Ref< KeyVal > &, double funcacc=DBL_EPSILON, double gradacc=DBL_EPSILON,
           double hessacc=DBL_EPSILON)
           The keyval constructor reads the following keywords:
       Function & operator= (const Function &)
       Ref< SCMatrixKit > matrixkit () const
           Return the SCMatrixKit used to construct vectors and matrices.
       RefSCDimension dimension () const
           Return the SCDimension of the problem.
       virtual double value ()
           Return the value of the function.
       int value_needed () const
           Returns nonzero if the current value is not up-to-date.
       int do_value (int)
           If passed a nonzero number, compute the value the next time compute() is called.
       AccResultdouble & value_result ()
       virtual double actual_value_accuracy () const
           Return the accuracy with which the value has been computed.
       virtual double desired_value_accuracy () const
           Return the accuracy with which the value is to be computed.

       Public Member Functions inherited from sc::SavableState
       SavableState & operator= (const SavableState &)
       void save_state (StateOut &)
           Save the state of the object as specified by the StateOut object.
       void save_object_state (StateOut &)
           This can be used for saving state when the exact type of the object is known for both
           the save and the restore.
       virtual void save_vbase_state (StateOut &)
           Save the virtual bases for the object.

       Public Member Functions inherited from sc::DescribedClass
       DescribedClass (const DescribedClass &)
       DescribedClass & operator= (const DescribedClass &)
       ClassDesc * class_desc () const  throw ()
           This returns the unique pointer to the ClassDesc corresponding to the given type_info
           object.
       const char * class_name () const
           Return the name of the object's exact type.
       int class_version () const
           Return the version of the class.

       Public Member Functions inherited from sc::RefCount
       int lock_ptr () const
           Lock this object.
       int unlock_ptr () const
           Unlock this object.
       void use_locks (bool inVal)
           start and stop using locks on this object
       refcount_t nreference () const
           Return the reference count.
       refcount_t reference ()
           Increment the reference count and return the new count.
       refcount_t dereference ()
           Decrement the reference count and return the new count.
       int managed () const
       void unmanage ()
           Turn off the reference counting mechanism for this object.
       int managed () const
           Return 1 if the object is managed. Otherwise return 0.

       Public Member Functions inherited from sc::Identity
       Identifier identifier ()
           Return the Identifier for this argument.

   Protected Member Functions
       void init_sym_info ()
       int form_occupations (int *&newocc, const int *oldocc)

       Protected Member Functions inherited from sc::Wavefunction
       double min_orthog_res ()
       double max_orthog_res ()
       void copy_orthog_info (const Ref< Wavefunction > &)

       Protected Member Functions inherited from sc::MolecularEnergy
       void failure (const char *)
       virtual void set_energy (double)
           This is just a wrapper around set_value().
       virtual void set_gradient (RefSCVector &)
           These are passed gradients and hessian in cartesian coordinates.
       virtual void set_hessian (RefSymmSCMatrix &)
       void x_to_molecule ()
       void molecule_to_x ()

       Protected Member Functions inherited from sc::Function
       virtual void set_value (double)
       virtual void set_matrixkit (const Ref< SCMatrixKit > &)
           Set the SCMatrixKit that should be used to construct the requisite vectors and
           matrices.
       virtual void set_dimension (const RefSCDimension &)
       virtual void set_actual_value_accuracy (double)
       virtual void set_actual_gradient_accuracy (double)
       virtual void set_actual_hessian_accuracy (double)
       RefSCVector & get_x_reference ()
           Get read/write access to the coordinates for modification.
       void do_change_coordinates (const Ref< NonlinearTransform > &)
           Change the coordinate system and apply the given transform to intermediates matrices
           and vectors.

       Protected Member Functions inherited from sc::SavableState
       SavableState (const SavableState &)
       SavableState (StateIn &)
           Each derived class StateIn CTOR handles the restore corresponding to calling
           save_object_state, save_vbase_state, and save_data_state listed above.

       Protected Member Functions inherited from sc::RefCount
       RefCount (const RefCount &)
       RefCount & operator= (const RefCount &)

       Protected Member Functions inherited from sc::Compute
       virtual void compute ()=0
           Recompute at least the results that have compute true and are not already computed.

   Protected Attributes
       ResultRefSymmSCMatrix density_
       AccResultRefSCMatrix oso_eigenvectors_
       AccResultRefDiagSCMatrix eigenvalues_
       int nirrep_
       int * nvecperirrep_
       double * occupations_
       double * alpha_occupations_
       double * beta_occupations_

       Protected Attributes inherited from sc::Wavefunction
       int debug_

       Protected Attributes inherited from sc::MolecularEnergy
       Ref< PointGroup > initial_pg_
       int print_molecule_when_changed_

       Protected Attributes inherited from sc::Function
       Ref< SCMatrixKit > matrixkit_
           Used to construct new matrices.
       RefSCVector x_
           The variables.
       RefSCDimension dim_
           The dimension of x_.
       AccResultdouble value_
           The value of the function at x_.
       AccResultRefSCVector gradient_
           The gradient at x_.
       AccResultRefSymmSCMatrix hessian_
           The hessian at x_.

   Additional Inherited Members
       Static Public Member Functions inherited from sc::SavableState
       static void save_state (SavableState *s, StateOut &)
       static SavableState * restore_state (StateIn &si)
           Restores objects saved with save_state.
       static SavableState * key_restore_state (StateIn &si, const char *keyword)
           Like restore_state, but keyword is used to override values while restoring.
       static SavableState * dir_restore_state (StateIn &si, const char *objectname, const char
           *keyword=0)

Detailed Description

       A OneBodyWavefunction is a MolecularEnergy that solves an effective one-body problem.

Constructor & Destructor Documentation

   sc::OneBodyWavefunction::OneBodyWavefunction (const Ref< KeyVal > &)
       The KeyVal constructor.

       eigenvector_accuracy
           Gives the accuracy to which eigenvectors are initially computed. The default 1.0e-7.
           Accuracies are usually adjusted as needed anyway, so it should not be necessary to
           change this.

Member Function Documentation

   virtual double sc::OneBodyWavefunction::alpha_occupation (int irrep, int vectornum) [virtual]
       Returns the alpha occupation. The irreducible representation and the vector number within
       that representation are given as arguments.

       Reimplemented in sc::HSOSSCF, sc::OSSSCF, sc::TCSCF, and sc::UnrestrictedSCF.

   double sc::OneBodyWavefunction::alpha_occupation (int vectornum)
       Returns the alpha occupation. The vector number in the MO basis is given as an argument.

   virtual double sc::OneBodyWavefunction::beta_occupation (int irrep, int vectornum) [virtual]
       Returns the beta occupation. The irreducible representation and the vector number within
       that representation are given as arguments.

       Reimplemented in sc::HSOSSCF, sc::OSSSCF, sc::TCSCF, and sc::UnrestrictedSCF.

   double sc::OneBodyWavefunction::beta_occupation (int vectornum)
       Returns the beta occupation. The vector number in the MO basis is given as an argument.

   virtual RefDiagSCMatrix sc::OneBodyWavefunction::eigenvalues () [pure virtual]
       Returns the MO basis eigenvalues.

       Implemented in sc::SCF, sc::UnrestrictedSCF, sc::ExtendedHuckelWfn, and sc::HCoreWfn.

   RefSCMatrix sc::OneBodyWavefunction::eigenvectors ()
       Deprecated. Use so_to_mo().t() instead.

   virtual RefSCMatrix sc::OneBodyWavefunction::hcore_guess () [virtual]
       Return a guess vector. The guess transforms the orthogonal SO basis to the MO basis.

   virtual RefSCMatrix sc::OneBodyWavefunction::hcore_guess (RefDiagSCMatrix & val) [virtual]
       Return a guess vector and the eigenvalues. The guess ransforms the orthogonal SO basis to
       the MO basis. Storage for the eigenvalues will be allocated.

   RefSCMatrix sc::OneBodyWavefunction::mo_to_orthog_so ()
       Returns the MO to orthogonal-SO transformation matrix. This returns the same matrix as
       oso_eigenvectors().

   int sc::OneBodyWavefunction::nelectron () [virtual]
       Returns the number of electrons.

       Implements sc::Wavefunction.

   virtual double sc::OneBodyWavefunction::occupation (int irrep, int vectornum) [pure virtual]
       Returns the occupation. The irreducible representation and the vector number within that
       representation are given as arguments.

       Implemented in sc::OSSSCF, sc::TCSCF, sc::CLSCF, sc::HSOSSCF, sc::ExtendedHuckelWfn,
       sc::HCoreWfn, and sc::UnrestrictedSCF.

   double sc::OneBodyWavefunction::occupation (int vectornum)
       Returns the occupation. The vector number in the MO basis is given as an argument.

   virtual RefSCMatrix sc::OneBodyWavefunction::oso_eigenvectors () [pure virtual]
       Returns the orthogonal MO (columns) to orthogonal-SO (rows) transformation matrix.

       Implemented in sc::SCF, sc::ExtendedHuckelWfn, and sc::HCoreWfn.

   void sc::OneBodyWavefunction::print (std::ostream & = ExEnv::out0()) const [virtual]
       Print information about the object.

       Reimplemented from sc::MolecularEnergy.

       Reimplemented in sc::UKS, sc::OSSHF, sc::OSSSCF, sc::SCF, sc::TCHF, sc::TCSCF, sc::UHF,
       and sc::UnrestrictedSCF.

   virtual RefSCMatrix sc::OneBodyWavefunction::projected_eigenvectors (const Ref<
       OneBodyWavefunction > &, int alp = 1) [virtual]
       Projects the density into the current basis set. Returns an orthogonalized SO to MO
       transformation with the orbitals.

   void sc::OneBodyWavefunction::save_data_state (StateOut &) [virtual]
       Save the base classes (with save_data_state) and the members in the same order that the
       StateIn CTOR initializes them. This must be implemented by the derived class if the class
       has data.

       Reimplemented from sc::MolecularEnergy.

       Reimplemented in sc::UKS, sc::OSSHF, sc::OSSSCF, sc::SCF, sc::TCHF, sc::TCSCF, sc::UHF,
       and sc::UnrestrictedSCF.

   void sc::OneBodyWavefunction::set_desired_value_accuracy (double eps) [virtual]
       Overload of Function::set_desired_value_accuracy(). Must update accuracy of the
       eigenvectors and the eigenvalues

       Reimplemented from sc::Function.

       Reimplemented in sc::UnrestrictedSCF.

   virtual int sc::OneBodyWavefunction::spin_unrestricted () [pure virtual]
       Return 1 if the alpha orbitals are not equal to the beta orbitals.

       Implemented in sc::SCF, sc::UnrestrictedSCF, sc::ExtendedHuckelWfn, and sc::HCoreWfn.

   void sc::OneBodyWavefunction::symmetry_changed () [virtual]
       Call this if you have changed the molecular symmetry of the molecule contained by this
       MolecularEnergy.

       Reimplemented from sc::MolecularEnergy.

       Reimplemented in sc::OSSSCF, sc::SCF, sc::TCSCF, and sc::UnrestrictedSCF.

Author

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