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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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Hyperpolarizability of the hydrogen atom
Physical Review A, 1987The frequency dependence of the hyperpolarizability (\ensuremath{\gamma}) of the nonrelativistic hydrogen atom is calculated for a range of third-order nonlinear optical processes using an expansion in Sturmian functions. It is shown that the quantitative relations between the various nonlinear optical processes are made much clearer when \ensuremath ...
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2012
Some of the problems that were the center of discussions during the long genesis of the quantum theory were the atomic structure and the radiated spectral lines, in particular the emission lines of Hydrogen. A convincing explanation of this problem had to wait to the advent of the quantum theory.
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Some of the problems that were the center of discussions during the long genesis of the quantum theory were the atomic structure and the radiated spectral lines, in particular the emission lines of Hydrogen. A convincing explanation of this problem had to wait to the advent of the quantum theory.
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1973
In non-relativistic theory the hydrogen atom is one of the few cases for which the Schrodinger equation may be solved exactly. For this to be possible the proton and electron are assumed to be spinless, and the only role that the proton plays is to provide an attractive Coulombic potential; the finite mass of the proton may, of course, be taken into ...
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In non-relativistic theory the hydrogen atom is one of the few cases for which the Schrodinger equation may be solved exactly. For this to be possible the proton and electron are assumed to be spinless, and the only role that the proton plays is to provide an attractive Coulombic potential; the finite mass of the proton may, of course, be taken into ...
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Nature, 1980
Silvera and Walraven's report (Phys. Rev. Left. 44, 164; 1980), that they have succeeded in stabilizing bulk atomic hydrogen, suggests that the preparation of superfluid hydrogen may become a practical proposition in the not too distant future.
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Silvera and Walraven's report (Phys. Rev. Left. 44, 164; 1980), that they have succeeded in stabilizing bulk atomic hydrogen, suggests that the preparation of superfluid hydrogen may become a practical proposition in the not too distant future.
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Quantum Mechanics of the Hydrogen Atom
1983In this chapter, we shall solve the Schrodinger equation of the hydrogen atom. For our calculations, we will not initially restrict ourselves to the Coulomb potential of the electron in the field of the nucleus of charge Z, V(r) = − Ze 2/(4πe0 r), but rather will use a general potential V(r), which is symmetric with respect to a centre.
Hans Christoph Wolf, Hermann Haken
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Bohr’s Model of the Hydrogen Atom
1983In the following chapters we shall take up the detailed analysis of the spectra of atoms in every wavelength region. The most important sources of information about the electronic structure and composition of atoms are spectra in the visible, infrared, ultraviolet, x-ray, microwave and radio frequency ranges.
Hans Christoph Wolf, Hermann Haken
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