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The Journal of Chemical Physics, 1999
The physics of the degenerate four-wave mixing process for resonant transitions between two degenerate energy levels is investigated by direct numerical integration of the time-dependent density matrix equations. The Zeeman structure of the upper and lower energy levels is included in a multistate formulation of the density matrix equations.
Robert P. Lucht, Thomas A. Reichardt
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The physics of the degenerate four-wave mixing process for resonant transitions between two degenerate energy levels is investigated by direct numerical integration of the time-dependent density matrix equations. The Zeeman structure of the upper and lower energy levels is included in a multistate formulation of the density matrix equations.
Robert P. Lucht, Thomas A. Reichardt
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The behavior of quantum states and observables of a quasi-integrable quantum system is studied. Sensitivity of the quantum states and nonperiodicity of the average value of observables at the degenerate points of energy levels are observed. The behavior demonstrates the quantum properties corresponding to the classical resonant tori with rational ...
Yingxin Jin, Kaifen He
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Effective disappearance of degenerating energy levels
Inverse spectral theory provides a theorem on the shifting of a single level, leaving all others unchanged, in a quantum-mechanical system over a finite range in one dimension. We show that the mechanism can be used to remove a pair of states from the spectrum by shifting the energy of one state onto that of a neighboring state. We extend the procedure
V. M. Chabanov+4 more
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Population of Landau energy levels by charged particles of degenerate magnetized Fermi gases
The population of the Landau energy levels (from the zero level to the maximum level) is determined as a function of the quantizing magnetic field strength and the charged-particle concentration, for nonrelativistic proton and electron gases and relativistic electron gases.
G. A. Shul’man
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Orbital angular momentum in triatomic molecules [PDF]
A general method is described for calculating the vibronic energy levels associated with two Born-Oppenheimer states of a triatomic molecule that become degenerate in the linear limit. The method combines Renner's matrix treatment of orbital angular momentum in linear molecules with Hougen, Bunker and Johns' formalism for large amplitude bending ...
Anthony J. Merer, Ch. Jungen
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Zero-field Energy Levels in Near-doubly-degenerate Triplet States
Abstract The zero-field energy levels in neardoubly-degenerate triplet states are discussed on molecules which are distorted so as to lose their trigonal symmetry axes. As an example, the second excited triplet states of a deformed benzene molecule are calculated from the electron spin-spin interactions.
Jiro Higuchi
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Expressions for the energies of the rotational levels associated with a nearly degenerate A1A2 pair of vibronic states in a molecule of symmetry C3v are presented. These expressions take into consideration Coriolis interaction between the levels associated with the A1 vibronic state and the levels associated with the A2 vibronic state.
Jon T. Hougen
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Account is taken of a similar change in the kinetic-energy components of a longitudinal electron motion along the magnetic field within each Landau energy level. The maximum electron energy is found as well as the kinetic energy of a transverse electron motion in the magnetic field.
V. S. Kostko, G. A. Shul’man
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Teaching the Jahn-Teller theorem offers several challenges. For many students, the first encounter comes in coordination chemistry, which can be difficult due to the already complicated nature of transition-metal complexes. Moreover, a deep understanding of the Jahn-Teller theorem requires that one is well acquainted with quantum mechanics and group ...
Adam Johannes Johansson
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