On the inversion of eigenvalue problems.
Eigenvalue problem of inverse scattering in quantum mechanics considered in terms of orthonormal and biorthonormal wave functions
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Eigenvalue problem of inverse scattering in quantum mechanics considered in terms of orthonormal and biorthonormal wave functions
Electronic wave functions for diatomic lithium hydride molecules, using quantum mechanical calculations
Two triplet P states of helium isoelectronic series investigated via 50-term variational wave functions with isotopic shift determinations
Long range interaction of two H atoms calculated with electrostatic Hellmann-Feynman theorem, determining part of second order molecular wave function
Theoretically determined frequencies and absorption intensities are reported for the vibrational spectrum of the covalent HOOOH and hydrogen bonded HO---HOO intermediates that may form in the reaction of the hydroxyl and hydroperoxyl radicals. Basis sets of DZP quality, augmented by diffuse and second sets of polarization functions have been used with CASSCF wave functions. The calculated harmonic vibrational frequencies of HOOOH have been corrected with empirical factors and presented in the form of a 'stick' spectrum. The oxygen backbone vibrations, predicted to occur at 519, 760, and 870 cm(exp -1), are well separated from most interferences, and may be the most useful for the species' identification. In the case of the hydrogen bonded isomer, emphasis has been placed upon prediction of the shifts in the intramolecular vibrational frequencies that take place upon formation of the complex. In particular, the HO stretch and HOO bend of HO2 are predicted to have shifts of -59 and 53 cm(exp -1), respectively, which should facilitate their identification. It is also noted that the antisymmetric stretching frequency of the oxygen backbone in HOOOH exhibits a strong sensitivity to the degree of electron correlation, such as has been previously observed for the same mode in ozone.
Approximate variation principle for calculating energies and wave functions in electron impact experiments
Excitation of hydrogen molecule from ground state to B and C electronic states by electron impact, using one-center wave functions of Huzinaga together with Born approximation
Generalization of Sternheimer potential to include wave functions involving spin in nonfactorable way, exhibiting approximate Hamiltonian
The ADAPT-VQE algorithm is a promising method for generating a compact ansatz based on derivatives of the underlying cost function, and it yields accurate predictions of electronic energies for molecules. In this work, we report the implementation and performance of ADAPT-VQE with our recently developed sparse wave function circuit solver (SWCS) in terms of accuracy and efficiency for molecular systems with up to 52 spin orbitals. The SWCS can be tuned to balance computational cost and accuracy, which extends the application of ADAPT-VQE for molecular electronic structure calculations to larger basis sets and a larger number of qubits. Using this tunable feature of the SWCS, we propose an alternative optimization procedure for ADAPT-VQE to reduce the computational cost of the optimization. Furthermore, by preoptimizing a quantum simulation with a parametrized ansatz generated with ADAPT-VQE/SWCS, we aim to utilize the power of classical high-performance computing in order to minimize the work required on noisy intermediate-scale quantum hardware, which offers a promising path toward demonstrating quantum advantage for chemical applications.
Conditions under which optimal wave functions satisfy various time-dependent Hellmann-Feynman theorems
Calculations of vibrational wave functions and excitation cross sections of carbon dioxide molecules, and infrared laser experiments
Heitler-London wave functions used to determine internuclear distance and velocity of electron exchange in H-H collisions
Projected Hartree-Fock energy spectra using basis wave functions with harmonic oscillator and Wood-Saxon radial dependence
Variational wave functions of 2 P states of helium isoelectronic series, finding isotope shifts
Renormalizing approximate wave functions so that amplitude is correct by means of matrix, with applications to Born approximation
Integration scheme for variational r sub ij wave functions containing unlinked four-electron correlated terms for atoms up to neon
Wave function expansion of diatomic molecules in series of orbital angular momentum eigenfunctions
Quantum mechanical potential energy curve of lowest normal state of diatomic helium computed in valence bond scheme, using 17-term wave function of Slater orbitals