- 1956
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Proof of the dispersion relations in quantum field theory.
- 1957
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Microscopic theory of superconductivity was formulated.
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Hypothesis of nuclear density fluctuations in nuclei, the “flucton” was offered and proven.
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The existence of the unitarity limit in weak interactions was pointed out
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The hypothesis of neutrino oscillations was proposed
- 1958
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Hartree–Fock–Bogolyubov variational principle was propos
- 1958–1963
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Theory of superconducting pairing correlations in nuclear matter and atomic nuclei was formulated
- 1963
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Melnikov’s method for determination of the existence or the absence of chaos in perturbed Hamiltonian systems was formulated
- 1965
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Introduction of color of quarks as a new quantum number
- 1966
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Fundamental results were obtained in classical and quantum dynamics of relativistic strings