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, 2014 In elementary quantum mechanics there are two important models that are exactly solvable, which means that the solution of the eigenvalue problem (from now on short for eigenvalue—eigenfunction problem) can be found in closed form.
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1972
Hydrogen, the simplest of all the elements, has been investigated most extensively both experimentally and theoretically. The knowledge obtained from this study has acted as a guide to the study of more complex elements. In this chapter we limit our considerations to hydrogen; in the next two chapters we discuss more complicated elements.
Henry Semat, John R. Albright
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Hydrogen, the simplest of all the elements, has been investigated most extensively both experimentally and theoretically. The knowledge obtained from this study has acted as a guide to the study of more complex elements. In this chapter we limit our considerations to hydrogen; in the next two chapters we discuss more complicated elements.
Henry Semat, John R. Albright
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2013
The hydrogen atom is a concrete example of the general case of a two-body problem, in which two interacting bodies are considered without any external forces.
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The hydrogen atom is a concrete example of the general case of a two-body problem, in which two interacting bodies are considered without any external forces.
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1994
We have here a two-body problem, of an electron of charge -e and mass m, and a proton of charge +e and mass M. By using CM and relative coordinates and working in the CM frame, we can reduce the problem to the dynamics of a single particle whose mass µ = mM /(m + M) is the reduced mass and whose coordinate r is the relative coordinate of the two ...
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We have here a two-body problem, of an electron of charge -e and mass m, and a proton of charge +e and mass M. By using CM and relative coordinates and working in the CM frame, we can reduce the problem to the dynamics of a single particle whose mass µ = mM /(m + M) is the reduced mass and whose coordinate r is the relative coordinate of the two ...
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2016
The explanation of spectroscopic data was one of the first great victories of quantum theory. In modern science and technology, the mastery of atomic physics is responsible for decisive progress ranging from laser technology to the exploration of the cosmos.
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The explanation of spectroscopic data was one of the first great victories of quantum theory. In modern science and technology, the mastery of atomic physics is responsible for decisive progress ranging from laser technology to the exploration of the cosmos.
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Reactions of Hydrogen Atom with Hydrogen Peroxide
The Journal of Physical Chemistry A, 2007Rate coefficients are calculated using canonical variational transition state theory with multidimensional tunneling (CVT/SCT) for the reactions H + H2O2 --> H2O + OH (1a) and H + H2O2 --> HO2 + H2 (1b). Reaction barrier heights are determined using two theoretical approaches: (i) comparison of parametrized rate coefficient calculations employing CVT ...
Donald G. Truhlar +4 more
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The hydrogen atom in the hydrogen molecule
International Journal of Quantum Chemistry, 2009Accurate two-electron wavefunctions which are localized in the sense that they are least distorted from a product of hydrogen atom wave functions, have been calculated for the X, 1∑+ and the b3∑+ states of H2 at nuclear separations of 1.0 to 4.0 bohrs. The calculations were done in the full configuration interaction approximation.
Meredith M. Clayton, William H. Adams
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2018
In a history of quantum mechanics, it was first successfully applied to the motion of an electron in a hydrogen atom along with a harmonic oscillator. Unlike the case of a one-dimensional harmonic oscillator we dealt with in Chap. 2 however, with a hydrogen atom we have to consider three-dimensional motion of an electron. Accordingly, it takes somewhat
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In a history of quantum mechanics, it was first successfully applied to the motion of an electron in a hydrogen atom along with a harmonic oscillator. Unlike the case of a one-dimensional harmonic oscillator we dealt with in Chap. 2 however, with a hydrogen atom we have to consider three-dimensional motion of an electron. Accordingly, it takes somewhat
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2013
Contents The structure of hydrogenic atoms 150 The separation of variables 151 Brief illustration 17.1: The angular part of the hydrogenic wavefunction 153 The radial solutions 153 The atomic orbitals and their energies 155 The ...
Peter Atkins +2 more
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Contents The structure of hydrogenic atoms 150 The separation of variables 151 Brief illustration 17.1: The angular part of the hydrogenic wavefunction 153 The radial solutions 153 The atomic orbitals and their energies 155 The ...
Peter Atkins +2 more
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