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Quantum Mechanics

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The article was published on 1961-01-01 and is currently open access. It has received 20079 citations till now. The article focuses on the topics: Adiabatic quantum computation.

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Bound states and resonances of the hydroperoxyl radical HO2: An accurate quantum mechanical calculation using filter diagonalization

TL;DR: In this article, the bound and resonance spectra of the non-rotating odd O2 exchange symmetry HO2 radical were calculated by using filter diagonalization of a sparse matrix of the system Hamiltonian with absorbing boundary conditions.
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Theory of shifts of vibration-rotation lines of diatomic molecules in noble gas matrices. intermolecular forces in crystals.

TL;DR: In this article, it was shown that the observed shift of infrared lines of diatomic molecules trapped in noble gas crystals can be considered to be made up of a vibrational shift of the band center with a superimposed rotational shift dependent on the rotational quantum number J. This dependence was analyzed using an extension of the principle of corresponding states, thus introducing vdependent Lennard-Jones force constants e and σ.
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Limit on the cosmological variation of mp/me from the inversion spectrum of ammonia.

TL;DR: The limit on the space-time variation of the ratio of the proton mass to the electron mass, mu=m(p)/m(e), is obtained, based on comparison of quasar absorption spectra of NH3 with CO, HCO+ and HCN rotational spectra.
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Nonadiabatic processes involving quantum‐like and classical‐like coordinates with applications to nonadiabatic electron transfers

TL;DR: In this paper, a semiclassical analysis is used to treat the contribution of the former to the Franck-Condon factor in the reaction rate expression, thereby avoiding the usual harmonic oscillator approximation.
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Exactly solvable supersymmetric quantum mechanics

TL;DR: In this paper, a class of supersymmetric quantum mechanics whose eigenvalue problem is (in part) exactly solvable is presented. In concrete realizations, the class includes supersymetric quantum mechanical models associated with one-dimensional or radial Schrodinger operators with potentials of a special type, called shape-invariant potentials.