부산대학교 도서관

Contents:\ Volume 1.\ Part I. Group representations:\ I. M.\ Gelʹfand, M. I.\ Graev and A. M.\ Vershik, The commutative model of the principal representation of the current group ${\rm SL}(2,{\bf R})^X$ with respect to a unipotent subgroup (pp.\ 3--22); A. M.\ Vershik, Infinite-dimensional metagonal and metaplectic groups (pp.\ 23--27); D. P.\ Zhelobenko, Reduction algebras and Gelʹfand-Zetlin bases (pp.\ 29--37); N. Ya.\ Vilenkin and L. M.\ Klyosova [L. M.\ Klesova], Functions of the discrete spectrum in harmonic analysis on hyperboloids (pp.\ 39--45); N. Ya.\ Vilenkin and A. P.\ Pavlyuk, Representations of some semisimple Lie groups and special functions of the matrix argument (pp.\ 47--54); R. L.\ Shapiro, On some realizations of the ${\rm IU}(n+1)$ group (pp.\ 55--59); A.-A. A.\ Jucys, Symmetric group representations and noncanonical bases in the subduction $U_{k(k+1)/2}\supset U_k$ (pp.\ 61--65); Yu.\ F.\ Smirnov, V. N.\ Tolstoy [V. N.\ Tolstoĭ], M.\ Havlíček, Č.\ Burdík and A. A.\ Sakharuk, The Dyson-type boson realizations for representations of the semisimple Lie algebras and superalgebras (pp.\ 67--76); V. N.\ Tolstoy [V. N.\ Tolstoĭ], Yu.\ F.\ Smirnov and Z.\ Pluhař, The Clebsch-Gordan coefficients of the ${\rm SU}(3)$ group and their symmetry properties (pp.\ 77--86); A. F.\ Nikiforov, S. K.\ Suslov and V. B.\ Uvarov, Classical orthogonal polynomials of a discrete variable in the theory of group representations (pp.\ 87--96); S. J.\ Ališauskas [Sigitas\ Ališauskas], Boundary value problems in the Wigner-Racah calculus of the compact Lie groups (pp.\ 97--102); E.\ Norvaišas, Clebsch-Gordan coefficients of the $\roman U_6$ group in the basis $\roman U_6\supset \roman U_3$ (pp.\ 103--106); V. P.\ Karassiov [V. P.\ Karasev], The Wigner-Racah algebras of ${\rm SU}(n)$ and polynomial bases of the representations ${\scr D}(\dot O_{n-1}J\dot O_{m-n-1})$ of ${\rm SU}(m)$ (pp.\ 107--114); I. V.\ Andreev, Invariant gluonic tensors of rank five (pp.\ 115--123); I. V.\ Andreev and B. O.\ Shpekpaev, Gluonic invariants (pp.\ 125--134). \par Part II. Coherent states:\ R. J.\ Glauber, Quantum amplifiers, attenuators, and their irreversible behavior (pp.\ 137--148); Michael Martin\ Nieto, Coherent states with classical motion: from an analytic method complementary to group theory (pp.\ 149--166); I. V.\ Polubarinov, Phase space representations in quantum field theory (pp.\ 167--187); A. V.\ Gorokhov, Coherent states on Lie groups and path integrals (pp.\ 189--199); V. V.\ Dodonov, V. I.\ Manʹko and V. V.\ Semyonov [V. V.\ Semenov], The density matrix of canonically transformed Hamiltonians in the Fock basis (pp.\ 201--211); R. G.\ Agayeva [R. G.\ Agaeva], Calculation of collisionless current and thermoelectromotive force by the coherent-state method (pp.\ 213--222); S. G.\ Krivoshlykov, N. I.\ Petrov and I. N.\ Sissakian [I. N.\ Sisakyan], Coherent properties of optical fields in inhomogeneous media (pp.\ 223--230); V. V.\ Dodonov, V. I.\ Manʹko and S. M.\ Chumakov, The density matrix and excitation of a singular nonstationary oscillator at finite temperature (pp.\ 231--255). \par Part III. Symmetries in nuclear and atomic physics:\ V.\ Vanagas, Symplectic models of the nucleus (pp.\ 259--282); R. M.\ Asherova, Yu.\ I.\ Nechaev and Yu.\ F.\ Smirnov, The application of the ${\rm Sp}(2,{\bf R})$ group in the deformed nuclei theory and in the scattering problem (pp.\ 283--292); V. G.\ Zelevinsky [V. G.\ Zelevinskiĭ], Collective excitations of spherical nuclei: group models and problems of microscopic justification (pp.\ 293--301); V. G.\ Zelevinsky [V. G.\ Zelevinskiĭ], A microscopic approach to the description of fluctuation and dissipation of nuclear collective motion (pp.\ 303--310); V. Č.\ Šimonis [V.\ Šimonis] and J. M.\ Kaniauskas [J.\ Kaniauskas], Dynamic symmetry ${\rm SO}(4,1)$ of the hydrogen atom in momentum space and generalized spherical functions (pp.\ 311--316); J. M.\ Kaniauskas [J.\ Kaniauskas], V. Č.\ Šimonis [V.\ Šimonis] and Z. B.\ Rudzikas, Group theoretical methods of investigation of approximate symmetries of complex atoms (pp.\ 317--324); I. M.\ Pavlichenkov, The Bargmann representation of the Lie groups in nuclear physics (pp.\ 325--330). \par Part IV. Symmetries of differential equations, their integrability, and the inverse scattering method:\ D. R.\ Lebedev and A. O.\ Radul, Generalized internal long wave equations: construction, Hamiltonian structure, and conservation laws (pp.\ 333--351); V. K.\ Melʹnikov, Symmetries, nonlinear transformations, and equations integrable by the inverse scattering method (pp.\ 353--372); S. G.\ Gindikin, Manifolds of rational curves and nonlinear equations (pp.\ 373--383); B. S.\ Getmanov, Two-dimensional Lorentz-invariant field theory models with higher integrals of motion: complex scalar fields (pp.\ 385--397); A. N.\ Leznov and I. A.\ Fedoseev, Two-dimensional exactly integrable dynamical systems in the quantum region (pp.\ 399--406); V. G.\ Makhanʹkov and O. K.\ Pashaev, A new integrable model of QFT in the state space with indefinite metrics (pp.\ 407--414); B. G.\ Konopelʹchenko, Group-theoretical and Hamiltonian structures of the integrable nonlinear equations in $1+1$ and $2+1$ dimensions (pp.\ 415--428); V. A.\ Andreyev [V. A.\ Andreev], Bäcklund transformations of Painlevé equations (pp.\ 429--434); E. V.\ Doktorov, A sigma-model associated with the Ernst equation (pp.\ 435--442); A. N.\ Leznov, The internal symmetry group and methods of field theory for integrating exactly soluble dynamic systems (pp.\ 443--457); H. J.\ de Vega, The inverse scattering method and functional integrals (pp.\ 459--468); F. V.\ Kusmartsev and É.\ I.\ Rashba, Self-trapping from degenerate bands and plasma caviton formation: spontaneous symmetry breaking (pp.\ 469--475); L. M.\ Berkovič [L. M.\ Berkovich] and M. L.\ Nechaevsky [M. L.\ Nechaevskiĭ], On the group properties and integrability of the Fowler-Emden equations (pp.\ 477--488); W. I.\ Fushchich [V. I.\ Fushchich], N. I.\ Serov and W. M.\ Shtelen [V. M.\ Shtelenʹ], Some exact solutions of many-dimensional nonlinear d'Alembert, Liouville, eikonal, and Dirac equations (pp.\ 489--496); A. G.\ Nikitin, W. I.\ Fushchich [V. I.\ Fushchich] and V. A.\ Vladimirov, New symmetries and conservation laws for electromagnetic fields (pp.\ 497--505); G. A.\ Kotelʹnikov, Definition of group symmetry of differential equations (pp.\ 507--516); G. A.\ Kotelʹnikov, Invariance of the Schrödinger homogeneous equation relative to the Lie algebra of the conformal group ${\rm C}_{15}$ (pp.\ 517--520); G. A.\ Kotelʹnikov, Invariance of Maxwell homogeneous equations relative to the Galilei transformations (pp.\ 521--535); Yu.\ A.\ Danilov and G. I.\ Kuznetsov, Nonlinear equations and differential invariants (pp.\ 537--540). \par Part V. Stochastisation and nonintegrability:\ S. M.\ Apenko, D. A.\ Kirzhnits and Yu.\ E.\ Lozovik, Dynamic chaos, Anderson localization, and confinement (pp.\ 543--546); S. G.\ Matinyan, G. K.\ Savvidy [G. K.\ Savvidi] and N. G.\ Ter-Arutunyan-Savvidy [N. G.\ Ter-Arutyunyan-Savvidi], Stochasticity of Yang-Mills classical mechanics and its elimination by the Higgs mechanism (pp.\ 547--552); Boris V.\ Chirikov [B. V.\ Chirikov], The nature and properties of dynamic chaos (pp.\ 553--564); E. S.\ Nicolaevsky [E. S.\ Nikolaevskiĭ] and L. N.\ Shchur, Symmetry of the Hamiltonian, intersection of separatrices, and nonintegrability of the Yang-Mills fields (pp.\ 565--573). \par Part VI. Generalities of quantum theory:\ I. V.\ Polubarinov, Quantum mechanics and Hopf fiber bundles (pp.\ 577--589); V. V.\ Dodonov and V. I.\ Manʹko, Universal invariants of quantum systems and generalized uncertainty relations (pp.\ 591--612); M. B.\ Mensky [M. B.\ Menskiĭ], A group-theoretical approach to a path integral (pp.\ 613--630); Z.\ Perjés, Twistor internal symmetry groups (pp.\ 631--643); J.-P.\ Amiet and P.\ Huguenin, Wigner functions of unitary transformations (pp.\ 645--659); V. P.\ Karassiov [V. P.\ Karasev], The generating invariant formalism in many-body systems analysis (pp.\ 661--671); V. B.\ Serebrennikov and A. E.\ Shabad, Quantum-mechanical generators of groups of hidden broken symmetry and their classical limits (pp.\ 673--690); V. B.\ Serebrennikov and A. E.\ Shabad, Dynamic groups in problems with central dynamics (pp.\ 691--703); V. V.\ Dodonov and V. I.\ Manʹko, Wigner functions of a damped quantum oscillator (pp.\ 705--717). \par Volume 2.\ Part VII. Gravitation and cosmology:\ M. A.\ Markov, Asymptotic freedom and entropy in a perpetually oscillating universe (pp.\ 3--9); V. A.\ Berezin, V. A.\ Kuzʹmin and I. I.\ Tkachev, Vacuum bubbles in the early Universe and general relativity (pp.\ 11--25); V. P.\ Frolov, The density matrix and generating functional for quantum processes in black holes (pp.\ 27--39); V. P.\ Frolov and A. I.\ Zelʹnikov, Vacuum polarization of massive fields near a rotating black hole (pp.\ 41--48); A. A.\ Bogush and V. S.\ Otchik, Representations of ${\rm SO}(4,1)$ and the Hawking effect in de Sitter space (pp.\ 49--58); U.\ Bleyer and H.-H.\ von Borzeszkowski, On gauge-invariant theories of gravitation (pp.\ 59--66); V. M.\ Nikolaenko, ${\rm U}(1)$ gauge model with a gravitational topological charge (pp.\ 67--71); A. V.\ Smilga, Spontaneous generation of the Newton constant in the renormalizable theory of gravity (pp.\ 73--77); V. I.\ Strazhev and P. L.\ Shkolʹnikov, Polarization symmetry of the gravitational field (pp.\ 79--85); J.\ Bičak, The symmetries of an asymptotically flat space-time and gravitational radiation (pp.\ 87--94); S. I.\ Babichenko and V. N.\ Rudenko, Restoration of external action on a gravitational antenna (pp.\ 95--111). \par Part VIII. Quantum field theory and elementary particles:\ E. S.\ Fradkin and M. Ya.\ Palʹchik, New results in conformal invariant quantum field theory (pp.\ 115--133); A.\ Cabo and A. E.\ Shabad, Effective action for a nonabelian field with a nonvanishing source (pp.\ 135--152); A.\ Cabo and A. E.\ Shabad, Quantum theory of a gauge field with a nonvanishing external source. I. Canonical formalism and Furry picture (pp.\ 153--165); A.\ Cabo and A. E.\ Shabad, Quantum theory of a gauge field with a nonvanishing external source. II. Propagators and spectra in a nonabelian external field (pp.\ 167--185); I. A.\ Batalin and G. A.\ Vilkovisky [G. A.\ Vilkoviskiĭ], Closure of the gauge algebra, generalized Lie equations, and Feynman rules (pp.\ 187--205); D. M.\ Gitman and I. V.\ Tyutin, Canonical quantization of singular theories (pp.\ 207--237); A. O.\ Barvinsky [A. O.\ Barvinskiĭ], The double-dimensional regularization and gauge theories without ghosts (pp.\ 239--255); G. V.\ Grigoryan, R. P.\ Grigoryan and I. V.\ Tyutin, Symmetries of renormalized theories with symmetrical classical action (pp.\ 257--264); E. A.\ Tolkachev, Dual transformations in nonabelian gauge field theory (pp.\ 265--269); A. A.\ Bogush, A. M.\ Fedorovykh and L. F.\ Zhirkov, Some properties of local gauge transformation parameters in nonabelian field theory (pp.\ 271--277); A. S.\ Schwarz [A. S.\ Shvarts] and Yu.\ S.\ Tyupkin, Grand unification, strings, and mirror particles (pp.\ 279--289); G. M.\ Henkin [G. M.\ Khenkin], Yang-Mills-Higgs-Dirac fields and holomorphic vector bundles (pp.\ 291--302); M. A.\ Soloviev [M. A.\ Solovʹev], On the group of gauge transformations and Singer's theorem (pp.\ 303--308); V. N.\ Pervushin, On topological vacuum degeneracy in gauge theories (pp.\ 309--316); O. K.\ Kalashnikov, An asymptotically free ${\rm SU}(5)$ model of grand unification (pp.\ 317--371); M. V.\ Burova, O. K.\ Kalashnikov and V. B.\ Vologodsky [V. B.\ Vologodskiĭ], Mass hierarchy of scalar bosons in the ${\rm SU}(5)$ model (pp.\ 373--383); E. S.\ Fradkin and S. E.\ Konsteĭn [S. E.\ Konshteĭn], An asymptotically free ${\rm SU}(5)$ model of grand unification with four generations (pp.\ 385--411); A.\ Bohm [Arno\ Bohm], Hadronic rotational bands and constrained Hamiltonian mechanics of the quantum relativistic rotator (pp.\ 413--428); V. V.\ Khrushchov, On the properties of the scalar constituents of hadrons with respect to the ${\rm SU}(2)_{\rm L}\times {\rm U}(1)$ group (pp.\ 429--436); S. I.\ Kruglov and V. I.\ Strazhev, On the spacetime analog of the gauge theory with internal symmetry (pp.\ 437--442); A.\ Cabo and A. E.\ Shabad, The Lorentz-covariant formulation of temperature: Green's function method in relativistic statistics (pp.\ 443--458). \par Volume 3.\ Part IX. Supersymmetry, supergravity, and superalgebras:\ Yu.\ I.\ Manin, Supersymmetry and supergravity in the superspace of null supergeodesics (pp.\ 461--468); B.\ Julia, Infinite-dimensional groups acting on (super)-gravity phase space (pp.\ 469--484); A. S.\ Galʹperin, V. I.\ Ogievetsky [V. I.\ Ogievetskiĭ] and E.\ Sokatchev, On a versatile model of supergravity (pp.\ 485--491); B. M.\ Zupnik, Unconstrained conformal superfields in $N=1$ supergravities with different off-mass structures (pp.\ 493--499); B. M.\ Zupnik, Extended conformal supergravity in chiral superspace (pp.\ 501--509); P.\ van Nieuwenhuizen, Supergravity on three-spheres (pp.\ 511--530); E. S.\ Fradkin and A. A.\ Tseytlin, Quantum properties of higher-dimensional and dimensionally reduced supersymmetric theories (pp.\ 531--544); G. V.\ Grigoryan, R. P.\ Grigoryan and I. V.\ Tyutin, Renormalization of the $N=4$ supergauge theory (pp.\ 545--557); K. S.\ Stelle, The finiteness of the $N=4$ supersymmetric Yang-Mills theory (pp.\ 559--571); M. I.\ Èĭdes, A. V.\ Smilga and M. I.\ Vysotsky [M. I.\ Vysotskiĭ], The massless gluino and pseudoscalar mesons (pp.\ 573--577); I. V.\ Volovich, Constraint equations in supersymmetric gauge theories and vector bundles over twistors (pp.\ 579--585); A. A.\ Rosly [A. A.\ Roslyĭ], Super Yang-Mills constraints as integrability conditions (pp.\ 587--593); E. A.\ Ivanov [Evgeniĭ\ Alekseevich Ivanov\asup 2] and S. O.\ Krivonos, The ${\rm U}(1)$-supersymmetric extension of the Liouville equation (pp.\ 595--606); A. N.\ Leznov and V. V.\ Khrushchov, The supersymmetric Liouville equation in the quantum case (pp.\ 607--612); N. G.\ Pletnyov [N. G.\ Pletnëv] and V. V.\ Serebryakov, Superanalogies of constant-curvature space (pp.\ 613--622); B. L.\ Feĭgin and D. A.\ Leĭtes, New Lie superalgebras of string theories (pp.\ 623--629); B. L.\ Feĭgin, D. A.\ Leĭtes and V. V.\ Serganova, Kac-Moody superalgebras (pp.\ 631--637); V. V.\ Serganova, Outer automorphisms and real forms of Kac-Moody superalgebras (pp.\ 639--642); A. U.\ Klimyk and A. M.\ Gavrilik [O. M.\ Gavrilik], On the representations of noncompact global symmetry groups of the extended $N=6$ supergravity (pp.\ 643--648). \par Part X. Space groups and phase transitions:\ O. V.\ Kovalev, Methods of irreducible corepresentations and induced representations in crystal physics (pp.\ 651--666); W.\ Sikora, Applications of the symmetry analysis method to structural and magnetic phase transitions in hexagonal manganites, ${\rm ErB}_4$ and ${\rm FeSiO}_4$ compounds (pp.\ 667--673); R. A.\ Èvarestov and V. P.\ Smirnov, Use of the space group factor decomposition in solid state theory (pp.\ 675--683); V. A.\ Koptsik, Color symmetry and scaling in phase transitions and critical phenomena theory (pp.\ 685--703); J. N.\ Kotzev, V. A.\ Koptsik and K. A.\ Rustamov, ``Chromomorphism'' of color groups and classification of phase transitions (pp.\ 705--713); V. A.\ Koptsik, I. L.\ Fedoseeva and Zh.\ N. M.\ Kuzhukeev, Eight-color space $P$-symmetry groups (programmed derivation) (pp.\ 715--723); J. L.\ Birman and A. I.\ Solomon, Dynamical groups and the coexistence of superconductivity, charge density waves, and magnetism (pp.\ 725--732); L. L.\ Boyle, Space group representations for crystal structure types (pp.\ 733--737); E. N.\ Ovchinnikova and R. N.\ Kuzʹmin, A group-theoretical approach to the analysis of the Mössbauer diffraction pattern (pp.\ 739--743); J. N.\ Kotzev and M. I.\ Aroyo, On the coupling coefficients for systems with anti\-unitary symmetry (pp.\ 745--752); A. G.\ Zhilich, A. A.\ Kiselev [A.\ Kiseliovas] and V. P.\ Smirnov, Space symmetry of orientationally disordered molecular crystals (pp.\ 753--762); L.\ Michel, The Landau theory of second-order phase transitions and the invariant theory (pp.\ 763--774); E. I.\ Kats and M. I.\ Monastyrsky [M. I.\ Monastyrskiĭ], Ordering in diskotic liquid crystals (pp.\ 775--786); Yu.\ A.\ Nepomnyashchy [Yu.\ A.\ Nepomnyashchiĭ], On the nature of the $\lambda$-transition parameter (pp.\ 787--793); V. I.\ Manʹko and D. A.\ Trifonov, Matrix elements of finite transformations of Lie groups in the bases of coherent and Fock states (pp.\ 795--810); V. I.\ Manʹko, Integrals of motion and the symmetry of quantum systems (pp.\ 811--825). \par \{The papers of mathematical interest that appear to be in final form are being reviewed individually.\}\