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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    JETP letters 66 (1997), S. 487-493 
    ISSN: 1090-6487
    Keywords: 75.10.Dg ; 75.20.Hr ; 75.80.+q ; 75.30.Et
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The influence of the Kondo effect on the state of the crystalline field in the localized-moment regime is studied. It is shown that the exchange interaction leads to an anomalous temperature dependence of the intensity of the inelastic magnetic scattering of neutrons. An unconventional theory is constructed for the magnetoelastic interaction induced by Kondo scattering. The proposed model is in quantitative agreement with the results of neutron and thermodynamic investigations of the compound CeAl3.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    JETP letters 68 (1998), S. 514-520 
    ISSN: 1090-6487
    Keywords: 75.25.+z ; 75.20.Hr
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A theory of quasielastic scattering by a spin liquid with resonating valence bonds is constructed. It is demonstrated that the dependence of the scattering cross section of the spin liquid on the energy transfer has the same shape as the quasielastic peak observed experimentally in heavy-fermion systems. It is shown that a consequence of fact that the excitations of the spin-liquid state obey Fermi statistics is that the total quasielastic scattering cross section oscillates as a function of the momentum transfer.
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Journal of experimental and theoretical physics 85 (1997), S. 399-414 
    ISSN: 1090-6509
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A theory of stabilization of a spin liquid in a Kondo lattice at temperatures close to the temperature of antiferromagnetic instability has been developed. Kondo exchange scattering of conduction electrons leads to emergence of a state of the spin liquid of the resonating valence bonds (RVB) type at T〉T K. Owing to this stabilization, low-energy processes of Kondo scattering with energies below T K are frozen so that the “singlet” state of the Kondo lattice is not realized; instead a strongly correlated spin liquid with developed antiferromagnetic fluctuations occurs. A new version of the Feynman diagram technique has been developed to describe interaction between spin fluctuations and resonant valence bonds in a self-consistent manner. Emergence of a strongly anisotropic RVB spin liquid is discussed.
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Journal of experimental and theoretical physics 85 (1997), S. 1239-1239 
    ISSN: 1090-6509
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Journal of experimental and theoretical physics 86 (1998), S. 1008-1019 
    ISSN: 1090-6509
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A self-consistent microscopic theory of the relaxation of the crystal-field levels of an impurity ion in a state with an integer valence implanted in a normal metal is devised. A microscopic approach based on the Coqblin-Schrieffer-Cooper approach, rather than the formal model of the sf exchange interaction, makes it possible to take into account the specific details of both the crystal-field states of the impurity ion and the electronic band spectrum of the metal. A new method for the soft spectroscopy of electronic states based on measurements of the temperature dependence of the width ΓMM′(T) of transitions between the crystal-field states |M〉 of a paramagnetic ion implanted in the compound being studied is proposed. To make specific use of this method in neutron and optical spectroscopy, a classification of the types of temperature dependence of the natural relaxation width γ M (T) of the levels is devised, and procedures for possible experimental methods are proposed. A nonzero value of the natural relaxation width γ G (T) of the crystal-field ground state | G〉 of an impurity ion at zero temperature is obtained within the proposed self-consistent model, but is beyond the scope of perturbation theory. It is shown that the widely accepted estimate of the characteristic temperature of Kondo systems T*=Γ G(T=0)/2 from the quasielastic scattering width at zero temperature Γ G (T=0)/2 is incorrect in the case of strong relaxation in a system with soft crystal fields. The proposed model is applied to the quantitative analysis of the relaxation of the crystal-field levels of paramagnetic Pr3+ ions implanted in CeAl3 and LaAl3. The results of the calculations are in quantitative agreement with the experimental data.
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    Journal of mathematical sciences 13 (1980), S. 1-23 
    ISSN: 1573-8795
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A number of geometric questions related to the complex theory of the canonical Maslov operator are considered. The investigations center around the following themes: 1) quantization conditions and the problem of finding the asymptotics of eigenvalues; 2) universal characteristics of the theory of the complex canonical operator; 3) complex Hamiltonian fields and their trajectories.
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  • 7
    Electronic Resource
    Electronic Resource
    Springer
    Mathematical notes 31 (1982), S. 132-134 
    ISSN: 1573-8876
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    Springer
    Mathematical notes 4 (1968), S. 721-724 
    ISSN: 1573-8876
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We study the admissible sets of fixed submanifolds under the action of the group Zp in the quasi-complex manifold M2n, n 〈 p.
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  • 9
    Electronic Resource
    Electronic Resource
    Springer
    Functional analysis and its applications 12 (1978), S. 113-121 
    ISSN: 1573-8485
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
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  • 10
    Electronic Resource
    Electronic Resource
    Springer
    Mathematical notes 1 (1967), S. 226-230 
    ISSN: 1573-8876
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
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