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for journal 'PTP'
author 'J.* Providencia' : 85
total : 85

Search Results : 85 articles were found.

  1. Progress of Theoretical Physics Vol. 58 No. 1 (1977) pp. 223-230 : (4)
    Collective Hamiltonian in the Adiabatic Approximation
    A. Alves, L. P. de Brito, M. H. Caldeira, J. M. Domingos, P. Martins, H. Pascoal, J. da Providência, M. C. Ruivo, E. M. Silva, C. A. de Sousa, and J. N. Urbano
  2. Progress of Theoretical Physics Vol. 75 No. 4 (1986) pp. 862-879 : (4)
    Nuclear Fluid Dynamics at a Finite Temperarute
    J. P. da Providência
  3. Progress of Theoretical Physics Vol. 79 No. 6 (1988) pp. 1273-1278 : (4)
    Quantization of the Adiabatic TDHF Theory of Large Amplitude Collective Motion
    Joāo da Providência and Tsutomu Une
  4. Progress of Theoretical Physics Vol. 81 No. 6 (1989) pp. 1198-1216 : (4)
    Equation of Collective Submanifold for Mixed States
    Masatoshi Yamamura, João da Providência, Atsushi Kuriyama and Carlos Fiolhais
  5. Progress of Theoretical Physics Vol. 83 No. 4 (1990) pp. 749-765 : (4)
    On the Random Phase Approximation Based on the Thermo Field Dynamics Formalism
    Masatoshi Yamamura, João da Providência, Atsushi Kuriyama and Carlos Fiolhais
  6. Progress of Theoretical Physics Vol. 84 No. 3 (1990) pp. 452-469 : (4)
    Description of Mixed States Based on the Time-Dependent Hartree-Fock Theory. I
    Atsushi Kuriyama, João da Providência and Masatoshi Yamamura
  7. Progress of Theoretical Physics Vol. 84 No. 6 (1990) pp. 1115-1125 : (4)
    Description of Mixed States Based on the Time-Dependent Hartree-Fock Theory. II
    Atsushi Kuriyama, João da Providência and Masatoshi Yamamura
  8. Progress of Theoretical Physics Vol. 85 No. 5 (1991) pp. 939-944 : (4)
    Two Types of Schrödinger Time Evolution in the Formalism of Thermo Field Dynamics and Their Equivalence to the Liouville-von Neumann Equation
    João da Providência, Masatoshi Yamamura and Atsushi Kuriyama
  9. Progress of Theoretical Physics Vol. 86 No. 2 (1991) pp. 419-428 : (4)
    Application of the Canonical Theory of Mixed State to the Description of Bound States of the Nucleus. I
    Atsushi Kuriyama João da Providência and Masatoshi Yamamura
  10. Progress of Theoretical Physics Vol. 87 No. 1 (1992) pp. 135-149 : (4)
    Description of Mixed States Based on the Time-Dependent Hartree-Fock Theory. III
    Atsushi Kuriyama, João da Providência and Masatoshi Yamamura
  11. Progress of Theoretical Physics Vol. 87 No. 4 (1992) pp. 911-925 : (4)
    Application of the Canonical Theory of Mixed State to the Description of Bound State of the Nucleus. II
    Atsushi Kuriyama, João da Providência and Masatoshi Yamamura
  12. Progress of Theoretical Physics Vol. 87 No. 6 (1992) pp. 1377-1386 : (4)
    On the Canonical Equivalence of Classical Boson Expansions for Mixed States
    Masatoshi Yamamura, Atsushi Kuriyama and João da Providência
  13. Progress of Theoretical Physics Vol. 94 No. 6 (1995) pp. 1039-1059 : (4)
    Thermal Effect in Lipkin Model. I
    Atsushi Kuriyama, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  14. Progress of Theoretical Physics Vol. 95 No. 1 (1996) pp. 79-96 : (4)
    Note on Boson Expansion and Boson Coherent State for the $su$(2)-Spin System
    Atsushi Kuriyama, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  15. Progress of Theoretical Physics Vol. 95 No. 2 (1996) pp. 339-351 : (4)
    Thermal Effect in Lipkin Model. II
    Atsushi Kuriyama, João da Providência, Constan\cciaProvidência, Yasuhiko Tsue and Masatoshi Yamamura
  16. Progress of Theoretical Physics Vol. 96 No. 1 (1996) pp. 125-144 : (4)
    Thermal Effect in the Lipkin Model. III
    Atsushi Kuriyama, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  17. Progress of Theoretical Physics Vol. 96 No. 2 (1996) pp. 387-406 : (4)
    Three Forms of Boson Expansions for the $su(2)$-Spin System and Their $c$-Number Counterparts
    Atsushi Kuriyama, Jo&ão da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  18. Progress of Theoretical Physics Vol. 98 No. 2 (1997) pp. 381-392 : (4)
    Three Forms of Coherent States in the $su(2)$-Spin System and Related Classical Counterparts
    Atsushi Kuriyama, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  19. Progress of Theoretical Physics Vol. 98 No. 4 (1997) pp. 893-915 : (4)
    A Boson System Interacting with an External Harmonic Oscillator
    Atsushi Kuriyama, João da Providência,* Yasuhiko Tsue** and Masatoshi Yamamura
  20. Progress of Theoretical Physics Vol. 99 No. 5 (1998) pp. 819-829 : (4)
    Modification of the Conventional Holstein-Primakoff Boson Representation for the $\boldsymbol{su(1,1)}$-Algebra and Its Classical Counterpart
    Atsushi Kuriyama, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  21. Progress of Theoretical Physics Vol. 100 No. 5 (1998) pp. 993-1011 : (4)
    A Possible Description of Many-Body System Composed of Three Kinds of Boson Operators
    Atsushi Kuriyama, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  22. Progress of Theoretical Physics Vol. 100 No. 6 (1998) pp. 1181-1202 : (4)
    A Boson System Interacting with an External Harmonic Oscillator
    Atsushi Kuriyama, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  23. Progress of Theoretical Physics Vol. 101 No. 1 (1999) pp. 139-145 : (4)
    On the $\mbf q$-Boson Realization of the $\mbf su_q$(2) and $\mbf su_q$(1,1) Algebras
    João da Providência, Masatoshi Yamamura and Atsushi Kuriyama
  24. Progress of Theoretical Physics Vol. 101 No. 5 (1999) pp. 1001-1016 : (4)
    Instability of Thermal Equilibrium State of the Lipkin Model
    Atsushi Kuriyama, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  25. Progress of Theoretical Physics Vol. 103 No. 2 (2000) pp. 285-303 : (4)
    On the Schwinger Boson Representation of an Extended $\mbf\mbfplus (M+1)(N+1)$-Dimensional Algebra Containing the $\mbf\mbfplus su(M+1)$- and the $\mbf\mbfplus su(N,1)$-Algebra
    Atsushi Kuriyama, João da Providência and Masatoshi Yamamura
  26. Progress of Theoretical Physics Vol. 103 No. 2 (2000) pp. 305-319 : (4)
    A Possible Description of Many-Body System Composed of Four Kinds of Boson Operators
    Atsushi Kuriyama, João da Providência and Masatoshi Yamamura
  27. Progress of Theoretical Physics Vol. 103 No. 4 (2000) pp. 733-745 : (4)
    The Lipkin Model in a New Boson Realization
    Atsushi Kuriyama, Constança Providência, João da Providência and Masatoshi Yamamura
  28. Progress of Theoretical Physics Vol. 104 No. 1 (2000) pp. 143-153 : (4)
    On the Coupling of Two $\mbf\mbfplus su(1,1)$ Spins in the Holstein-Primakoff Type Boson Representation
    Atsushi Kuriyama, Constança Providência, João da Providência and Masatoshi Yamamura
  29. Progress of Theoretical Physics Vol. 104 No. 1 (2000) pp. 155-172 : (4)
    A Note on a Boson Realization in Many-Boson System
    Atsushi Kuriyama, Constança Providência, João da Providência and Masatoshi Yamamura
  30. Progress of Theoretical Physics Vol. 104 No. 1 (2000) pp. 259-263 : (4)
    An Orthogonal Set Constituted by Eight Kinds of Boson Operators
    Atsushi Kuriyama, João da Providência and Masatoshi Yamamura
  31. Progress of Theoretical Physics Vol. 104 No. 3 (2000) pp. 555-574 : (4)
    Imperfect Bose System and Its Mixed State Representation. I
    Atsushi Kuriyama, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  32. Progress of Theoretical Physics Vol. 105 No. 5 (2001) pp. 717-728 : (4)
    Utility of $\boldsymbol{su(1,1)}$-Algebra in a Schematic Nuclear $\boldsymbol{su(2)}$-Model
    Hideaki Akaike, Yasuhiko Tsue, Constança Providência, João da Providência, Atsushi Kuriyama and Masatoshi Yamamura
  33. Progress of Theoretical Physics Vol. 105 No. 5 (2001) pp. 729-749 : (4)
    Pairing Model and Mixed State Representation. I
    Atsushi Kuriyama, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  34. Progress of Theoretical Physics Vol. 105 No. 6 (2001) pp. 933-960 : (4)
    A Possible Boson Realization of Generalized Lipkin Model for Many-Fermion System
    Atsushi Kuriyama, Constança Providência, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  35. Progress of Theoretical Physics Vol. 106 No. 4 (2001) pp. 751-763 : (4)
    Deformed Boson Scheme including Conventional $\boldsymbol q$-Deformation in Time-Dependent Variational Method. I
    Atsushi Kuriyama, Constança Providência, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  36. Progress of Theoretical Physics Vol. 106 No. 4 (2001) pp. 765-781 : (4)
    Deformed Boson Scheme including Conventional $\boldsymbol q$-Deformation in Time-Dependent Variational Method. II
    Atsushi Kuriyama, Constança Providência, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  37. Progress of Theoretical Physics Vol. 107 No. 1 (2002) pp. 43-63 : (4)
    Pairing Model and Mixed State Representation. II
    Atsushi Kuriyama, João da Providência, Yasuhiko Tsue, and Masatoshi Yamamura
  38. Progress of Theoretical Physics Vol. 107 No. 1 (2002) pp. 65-86 : (4)
    Deformed Boson Scheme including Conventional $\boldsymbol q$-Deformation in Time-Dependent Variational Method. III
    Atsushi Kuriyama, Constança Providência, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  39. Progress of Theoretical Physics Vol. 107 No. 2 (2002) pp. 443-448 : (4)
    Note on the Deformed Boson Scheme in Time-Dependent Variational Method
    Atsushi Kuriyama, Constança Providência, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  40. Progress of Theoretical Physics Vol. 107 No. 6 (2002) pp. 1273-1278 : (4)
    On the Multiboson Coherent State in Deformed Boson Scheme
    Atsushi Kuriyama, Constança Providência, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  41. Progress of Theoretical Physics Vol. 107 No. 6 (2002) pp. 1279-1284 : (4)
    Two Contrastive Boson-Pair Coherent States in Deformed Boson Scheme
    Atsushi Kuriyama, Constança Providência, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  42. Progress of Theoretical Physics Vol. 108 No. 2 (2002) pp. 323-346 : (4)
    Deformed Boson Scheme including Conventional $\boldsymbol{q}$-Deformation in Time-Dependent Variational Method. IV
    Atsushi Kuriyama, Constança Providência, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  43. Progress of Theoretical Physics Vol. 108 No. 3 (2002) pp. 533-543 : (4)
    Even-Odd Effect on the Thermal Equilibrium State of the Pairing Model. I
    Atsushi Kuriyama, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  44. Progress of Theoretical Physics Vol. 108 No. 3 (2002) pp. 545-558 : (4)
    Even-Odd Effect on the Thermal Equilibrium State of the Pairing Model. II
    Atsushi Kuriyama, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  45. Progress of Theoretical Physics Vol. 108 No. 4 (2002) pp. 783-787 : (4)
    Note on the Deformed Boson Scheme in Four Kinds of Boson Operators
    Atsushi Kuriyama, Constança Providência, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  46. Progress of Theoretical Physics Vol. 109 No. 1 (2003) pp. 77-86 : (4)
    The $su(1,1)$-Algebraic Boson Model in the Deformed Boson Scheme
    Atsushi Kuriyama, Constança Providência, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  47. Progress of Theoretical Physics Vol. 109 No. 5 (2003) pp. 875-879 : (4)
    On the Boson Number Operator in the Deformed Boson Scheme
    Atsushi Kuriyama, Constança Providência, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  48. Progress of Theoretical Physics Vol. 109 No. 6 (2003) pp. 943-958 : (4)
    A Possible Form of the Orthogonal Set in Six Kinds of Boson Operators
    Atsushi Kuriyama, Constança Providência, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  49. Progress of Theoretical Physics Vol. 109 No. 6 (2003) pp. 959-968 : (4)
    Note on the Orthogonal Set in Six Kinds of Boson Operators
    Atsushi Kuriyama, Constança Providência, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  50. Progress of Theoretical Physics Vol. 110 No. 3 (2003) pp. 517-548 : (4)
    Deformed Boson Scheme Stressing Even-Odd Boson Number Difference. I
    Atsushi Kuriyama, Constança Providência, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  51. Progress of Theoretical Physics Vol. 110 No. 4 (2003) pp. 757-768 : (4)
    Imperfect Bose System and Its Mixed State Representation. II
    Atsushi Kuriyama, João da Providência, Masahiko Tsue and Masatoshi Yamamura
  52. Progress of Theoretical Physics Vol. 110 No. 6 (2003) pp. 1071-1085 : (4)
    Deformed Boson Scheme Stressing Even-Odd Boson Number Difference. II
    Atsushi Kuriyama, Constança Providência, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  53. Progress of Theoretical Physics Vol. 111 No. 4 (2004) pp. 509-523 : (4)
    Deformed Boson Scheme Stressing Even-Odd Boson Number Difference. III
    Atsushi Kuriyama, Constança Providência, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  54. Progress of Theoretical Physics Vol. 112 No. 3 (2004) pp. 383-397 : (2)
    The Heisenberg Antiferromagnet
    João da Providência, Masatoshi Yamamura, Constança Providência, Marta Brajczewska and João da Providência, Jr
  55. Progress of Theoretical Physics Vol. 112 No. 6 (2004) pp. 997-1012 : (4)
    Coupling Schemes for an $n$ $su(2)$ Spin System
    Masatoshi Yamamura, Constança Providência, João da Providência, Yasuhiko Tsue and João da Providência, Jr.
  56. Progress of Theoretical Physics Vol. 113 No. 1 (2005) pp. 153-168 : (4)
    On the Eigenvalue Problem of the $su(1,1)$-Algebra and the Coupling Scheme of Two $su(1,1)$-Spins
    Seiya Nishiyama, Constança Providência, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  57. Progress of Theoretical Physics Vol. 113 No. 3 (2005) pp. 555-562 : (4)
    A Note on the Eigenvalue Problem in the su(1,1)-Algebra
    Seiya Nishiyama, Constança Providência, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  58. Progress of Theoretical Physics Vol. 113 No. 3 (2005) pp. 563-580 : (4)
    A Possible Boson Realization of the $so(4)$- and the $so(3,1)$-Algebra
    Seiya Nishiyama, Constança Providência, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  59. Progress of Theoretical Physics Vol. 114 No. 1 (2005) pp. 57-75 : (4)
    The Lipkin Model in the $su(M+1)$-Algebra for Many-Fermion System and Its Counterpart in the Schwinger Boson Representation
    Constança Providência, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  60. Progress of Theoretical Physics Vol. 115 No. 1 (2006) pp. 129-141 : (4)
    On Parametric Resonance in Quantum Many-Body System
    Yasuhiko Tsue, João da Providência, Atsushi Kuriyama and Masatoshi Yamamura
  61. Progress of Theoretical Physics Vol. 115 No. 1 (2006) pp. 143-153 : (4)
    Boson Realization of the $su(3)$-Algebra. I
    Constança Providência, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  62. Progress of Theoretical Physics Vol. 115 No. 1 (2006) pp. 155-164 : (4)
    Boson Realization of the $su(3)$-Algebra. II
    Constança Providência, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  63. Progress of Theoretical Physics Vol. 115 No. 3 (2006) pp. 547-559 : (4)
    Boson Realization of the $su(3)$-Algebra. III
    Constança Providência, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  64. Progress of Theoretical Physics Vol. 115 No. 3 (2006) pp. 561-566 : (4)
    Boson Realization of the $su(3)$-Algebra. IV
    Constança Providência, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  65. Progress of Theoretical Physics Vol. 115 No. 4 (2006) pp. 739-757 : (4)
    A New Boson Realization of the Two-Level Pairing Model in a Many-Fermion System and Its Classical Counterpart
    Constança Providência, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  66. Progress of Theoretical Physics Vol. 115 No. 4 (2006) pp. 759-764 : (4)
    A Note on the Two-Level Pairing Model Obeying the $su(2) \otimes su(2)$-Algebra
    Constança Providência, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  67. Progress of Theoretical Physics Vol. 116 No. 1 (2006) pp. 87-105 : (4)
    The Lipkin Model in Many-Fermion System as an Example of the $su(1,1) \otimes\ su(1,1)$-Algebraic Model
    Constança Providência, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  68. Progress of Theoretical Physics Vol. 117 No. 3 (2007) pp. 431-449 : (4)
    Semi-Classical Approach to the Two-Level Pairing Model
    Yasuhiko Tsue, Constança Providência, João da Providência and Masatoshi Yamamura
  69. Progress of Theoretical Physics Vol. 117 No. 5 (2007) pp. 835-851 : (4)
    Classical and Quantal Descriptions of Small Amplitude Fluctuations around Equilibriums in the Two-Level Pairing Model
    Yasuhiko Tsue, Constança Providência, João da Providência and Masatoshi Yamamura
  70. Progress of Theoretical Physics Vol. 117 No. 5 (2007) pp. 853-860 : (4)
    A Refined Numerical Result on the First Excitation Energy in the Two-Level Pairing Model
    Yasuhiko Tsue, Constança Providência, João da Providência and Masatoshi Yamamura
  71. Progress of Theoretical Physics Vol. 121 No. 6 (2009) pp. 1237-1287 : (c)
    Many-Quark Model with $su(4)$ Algebraic Structure
    Yasuhiko Tsue, Constança Providência, João da Providência and Masatoshi Yamamura
  72. Progress of Theoretical Physics Vol. 122 No. 3 (2009) pp. 693-711 : (c)
    Note on Many-Quark Model with $su(4)$ Algebraic Structure
    Yasuhiko Tsue, Constança Providência, João da Providência and Masatoshi Yamamura
  73. Progress of Theoretical Physics Vol. 122 No. 4 (2009) pp. 911-926 : (c)
    On the Exact Eigenstates and the Ground States Based on the Boson Realization for Many-Quark Model with $su(4)$ Algebraic Structure
    Yasuhiko Tsue, Constança Providência, João da Providência and Masatoshi Yamamura
  74. Progress of Theoretical Physics Vol. 122 No. 4 (2009) pp. 1065 : (c)
    Note on Many-Quark Model with $su(4)$ Algebraic Structure
    Yasuhiko Tsue, Constança Providência, João da Providência and Masatoshi Yamamura
  75. Progress of Theoretical Physics Vol. 123 No. 6 (2010) pp. 1013-1028 : (c)
    First-Order Quark-Hadron Phase-Transition in a NJL-Type Model for Nuclear and Quark Matter
    Yasuhiko Tsue, João da Providência, Constança Providência and Masatoshi Yamamura
  76. Progress of Theoretical Physics Vol. 126 No. 1 (2011) pp. 115-134 : (c)
    On the Color-Singlet States in Many-Quark Model with the $su(4)$-Algebraic Structure. I
    Yasuhiko Tsue, Constança Providência, João da Providência and Masatoshi Yamamura
  77. Progress of Theoretical Physics Vol. 126 No. 2 (2011) pp. 293-311 : (c)
    On the Color-Singlet States in Many-Quark Model with the $su(4)$-Algebraic Structure. II
    Yasuhiko Tsue, Constança Providência, João da Providência and Masatoshi Yamamura
  78. Progress of Theoretical Physics Vol. 126 No. 2 (2011) pp. 313-330 : (c)
    On the Color-Singlet States in Many-Quark Model with the $su(4)$-Algebraic Structure. III
    Yasuhiko Tsue, Constança Providência, João da Providência and Masatoshi Yamamura
  79. Progress of Theoretical Physics Vol. 127 No. 1 (2012) pp. 117-143 : (c)
    Background of the $su(2)$-Algebraic Many-Fermion Models in the Boson Realization
    Yasuhiko Tsue, Constança Providência, João da Providência and Masatoshi Yamamura
  80. Progress of Theoretical Physics Vol. 127 No. 2 (2012) pp. 303-314 : (c)
    Note on the Minimum Weight States in the $su(2)$-Algebraic Many-Fermion Model
    Yasuhiko Tsue, Constança Providência, João da Providência and Masatoshi Yamamura
  81. Progress of Theoretical Physics Vol. 127 No. 4 (2012) pp. 751-768 : (c)
    Re-Formation of Many-Quark Model with the $su(4)$-Algebraic Structure in the Schwinger Boson Realization
    Yasuhiko Tsue, Constança Providência, João da Providência and Masatoshi Yamamura
  82. Progress of Theoretical Physics Vol. 127 No. 4 (2012) pp. 769-779 : (c)
    Color-Singlet Three-Quark States in the $su(4)$-Algebraic Many-Quark Model
    Yasuhiko Tsue, Constança Providência, João da Providência and Masatoshi Yamamura
  83. Progress of Theoretical Physics Vol. 128 No. 3 (2012) pp. 507-522 : (c)
    Effective Potential Approach to Quark Ferromagnetization in High Density Quark Matter
    Yasuhiko Tsue, João da Providência, Constança Providência and Masatoshi Yamamura
  84. Progress of Theoretical Physics Vol. 128 No. 4 (2012) pp. 693-715 : (c)
    The BCS-Bogoliubov and the $su(2)$-Algebraic Approach to the Pairing Model in Many-Fermion System
    Yasuhiko Tsue, Constança Providência, João da Providência and Masatoshi Yamamura
  85. Progress of Theoretical Physics Vol. 128 No. 4 (2012) pp. 717-726 : (c)
    A Role of the Quasiparticle in the Conservation of the Fermion Number
    Yasuhiko Tsue, Constança Providência, João da Providência and Masatoshi Yamamura

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