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1

BCS Model Hamiltonian of the Theory of Superconductivity as a Quadratic Form

Journal:

Ukrainian Mathematical Journal

Year:

2004

Language:

english

File:

PDF, 378 KB

english, 2004

2

On N. N. Bogolyubov's works in classical and quantum statistical mechanics

Yu. A. Mitropolskii, D. Ya. Petrina

Journal:

Ukrainian Mathematical Journal

Year:

1993

Language:

english

File:

PDF, 3.39 MB

english, 1993

3

On the model Hamiltonian of the theory of superconductivity

D. Ya. Petrina, V. P. Yatsishin

Journal:

Theoretical and Mathematical Physics

Year:

1972

Language:

english

File:

PDF, 1.00 MB

english, 1972

4

Solution of a classical problem of electrostatics by a computational procedure

Journal:

USSR Computational Mathematics and Mathematical Physics

Year:

1984

Language:

english

File:

PDF, 767 KB

english, 1984

5

Recycling of used lubricants in a carbon-tape shop

S. I. Spiridonova, Yu. N. Mel'nikov, L. S. Petrina, A. Ya. Batuev

Journal:

Year:

1987

Language:

english

File:

PDF, 181 KB

english, 1987

6

Existence of equilibrium states of systems of hard spheres in the Boltzmann-Enskog limit within the frame work of the grand canonical ensemble

D. Ya. Petrina, E. D. Petrina

Journal:

Ukrainian Mathematical Journal

Year:

1997

Language:

english

File:

PDF, 455 KB

english, 1997

7

Spectrum and states of the bcs hamiltonian in a finite domain. I. Spectrum

Journal:

Ukrainian Mathematical Journal

Year:

2000

Language:

english

File:

PDF, 2.95 MB

english, 2000

8

Boltzmann-Enskog limit for equilibrium states of systems of hard spheres in the framework of a canonical ensemble

M. Lampis, D. Ya. Petrina

Journal:

Ukrainian Mathematical Journal

Year:

1997

Language:

english

File:

PDF, 439 KB

english, 1997

9

Stochastic dynamics and Boltzmann hierarchy. III

D. Ya Petrina, K. D. Petrina

Journal:

Ukrainian Mathematical Journal

Year:

1998

Language:

english

File:

PDF, 1.36 MB

english, 1998

10

Stochastic dynamics and Boltzmann hierarchy. I

D. Ya. Petrina, K. D. Petrina

Journal:

Ukrainian Mathematical Journal

Year:

1998

Language:

english

File:

PDF, 1.26 MB

english, 1998

11

Stochastic dynamics as a limit of Hamiltonian dynamics of hard spheres

M. Lampis, D. Ya. Petrina, K. D. Petrina

Journal:

Ukrainian Mathematical Journal

Year:

1999

Language:

english

File:

PDF, 1019 KB

english, 1999

12

Methods for derivation of the stochastic Boltzmann hierarchy

Journal:

Ukrainian Mathematical Journal

Year:

2000

Language:

english

File:

PDF, 2.04 MB

english, 2000

13

Stochastic dynamics and Boltzmann hierarchy. II

D. Ya. Petrina, K. D. Petrina

Journal:

Ukrainian Mathematical Journal

Year:

1998

Language:

english

File:

PDF, 2.01 MB

english, 1998

14

Stochastic dynamics as a limit of Hamiltonian dynamics of hard spheres

M. Lampis, D. Ya. Petrina, K. D. Petrina

Journal:

Ukrainian Mathematical Journal

Year:

1999

Language:

english

File:

PDF, 1.03 MB

english, 1999

15

Stochastic Dynamics and Hierarchy for the Boltzmann Equation with Arbitrary Differential Scattering Cross Section

M. Lampis, D. Ya. Petrina

Journal:

Ukrainian Mathematical Journal

Year:

2004

Language:

english

File:

PDF, 297 KB

english, 2004

16

Analog of the Liouville Equation and BBGKY Hierarchy for a System of Hard Spheres with Inelastic Collisions

D. Ya. Petrina, G. L. Caraffini

Journal:

Ukrainian Mathematical Journal

Year:

2005

Language:

english

File:

PDF, 452 KB

english, 2005

17

New second branch of the spectrum of the BCS Hamiltonian and a “pseudogap”

Journal:

Ukrainian Mathematical Journal

Year:

2005

Language:

english

File:

PDF, 437 KB

english, 2005

18

Solutions of the BBGKY hierarchy for a system of hard spheres with inelastic collisions

D. Ya. Petrina, G. L. Caraffini

Journal:

Ukrainian Mathematical Journal

Year:

2006

Language:

english

File:

PDF, 338 KB

english, 2006

19

Spectrum and states of the BCS Hamiltonian with sources

Journal:

Ukrainian Mathematical Journal

Year:

2008

Language:

english

File:

PDF, 315 KB

english, 2008

20

Spectrum and States of the BCS Hamiltonian in a Finite Domain. II. Spectra of Excitations

Journal:

Ukrainian Mathematical Journal

Year:

2001

Language:

english

File:

PDF, 293 KB

english, 2001

21

Spatially-Homogeneous Boltzmann Hierarchy as Averaged Spatially-Inhomogeneous Stochastic Boltzmann Hierarchy

M. Lampis, D. Ya. Petrina

Journal:

Ukrainian Mathematical Journal

Year:

2002

Language:

english

File:

PDF, 209 KB

english, 2002

22

Equilibrium and Nonequilibrium States of the Model Fröhlich–Peierls Hamiltonian

Journal:

Ukrainian Mathematical Journal

Year:

2003

Language:

english

File:

PDF, 207 KB

english, 2003

23

Mathematical description of the evolution of infinite systems of classical statistical physics. I. Locally perturbed one-dimensional systems

Journal:

Theoretical and Mathematical Physics

Year:

1979

Language:

english

File:

PDF, 1.08 MB

english, 1979

24

Thermodynamic limit of nonequilibrium states of a three-dimensional system of elastic spheres

V. I. Gerasimenko, D. Ya. Petrina

Journal:

Theoretical and Mathematical Physics

Year:

1985

Language:

english

File:

PDF, 1004 KB

english, 1985

25

Existence of the Boltzmann-Grad limit for an infinite system of hard spheres

V. I. Gerasimenko, D. Ya. Petrina

Journal:

Theoretical and Mathematical Physics

Year:

1990

Language:

english

File:

PDF, 1.33 MB

english, 1990

26

Statistical mechanics of quantum-classical systems. Nonequilibrium systems

V. I. Gerasimenko, D. Ya. Petrina

Journal:

Theoretical and Mathematical Physics

Year:

1980

Language:

english

File:

PDF, 769 KB

english, 1980

27

Mathematical description of the equilibrium state of classical systems on the basis of the canonical ensemble formalism

N. N. Bogolyubov, D. Ya. Petrina, B. I. Khatset

Journal:

Theoretical and Mathematical Physics

Year:

1969

Language:

english

File:

PDF, 1.06 MB

english, 1969

28

Distribution functions of systems of charged particles in a spatially inhomogeneous medium

Journal:

Theoretical and Mathematical Physics

Year:

1984

Language:

english

File:

PDF, 657 KB

english, 1984

29

Linearization and exact solutions of a class of Boltzmann equations

A. V. Mishchenko, D. Ya. Petrina

Journal:

Theoretical and Mathematical Physics

Year:

1988

Language:

english

File:

PDF, 815 KB

english, 1988

30

Kirkwood-Salzburg equations for the coefficient functions of the S matrix

D. Ya. Petrina, V. I. Skripnik

Journal:

Theoretical and Mathematical Physics

Year:

1971

Language:

english

File:

PDF, 550 KB

english, 1971

31

Connection between the approximating Hamiltonian method and theta-function integration

E. D. Belokolos, D. Ya. Petrina

Journal:

Theoretical and Mathematical Physics

Year:

1984

Language:

english

File:

PDF, 438 KB

english, 1984

32

Projection-iteration method of solution of the equations of quantum field theory and its connection with the theory of renormalization. The equations of quantum field theory and improperly posed problems of mathematical physics

D. Ya. Petrina, A. L. Rebenko

Journal:

Theoretical and Mathematical Physics

Year:

1980

Language:

english

File:

PDF, 1000 KB

english, 1980

33

S matrix in constructive quantum field theory

S. S. Ivanov, D. Ya. Petrina, A. L. Rebenko

Journal:

Theoretical and Mathematical Physics

Year:

1975

Language:

english

File:

PDF, 797 KB

english, 1975

34

On solutions of Bogolyubov's kinetic equations quantum statistics

Journal:

Theoretical and Mathematical Physics

Year:

1972

Language:

english

File:

PDF, 662 KB

english, 1972

35

On a class of model systems that admit a lowering of powers in the Hamiltonian in the thermodynamic limit. II

N. N. Bogolyubov, D. Ya. Petrina

Journal:

Theoretical and Mathematical Physics

Year:

1978

Language:

english

File:

PDF, 573 KB

english, 1978

36

On a class of model systems that admit a lowering of powers in the Hamiltonian in the thermodynamic limit. I

N. N. Bogolyubov, D. Ya. Petrina

Journal:

Theoretical and Mathematical Physics

Year:

1977

Language:

english

File:

PDF, 771 KB

english, 1977

37

On equations for the coefficient functions of the S matrix in quantum field theory

S. S. Ivanov, D. Ya. Petrina, A. L. Rebenko

Journal:

Theoretical and Mathematical Physics

Year:

1974

Language:

english

File:

PDF, 477 KB

english, 1974

38

Hamiltonians of quantum statistics and the model Hamiltonian of the theory of superconductivity

Journal:

Theoretical and Mathematical Physics

Year:

1970

Language:

english

File:

PDF, 901 KB

english, 1970

39

N. N. Bogolyubov's research in mathematics and theoretical physics

V. S. Vladimirov, Yu. A. Mitropol'skii, O. S. Parasyuk, D. Ya. Petrina, A. M. Samoilenko

Journal:

Ukrainian Mathematical Journal

Year:

1989

Language:

english

File:

PDF, 805 KB

english, 1989

40

Completeness of perturbation theory amplitudes in amplitude space

Journal:

Ukrainian Mathematical Journal

Year:

1967

Language:

english

File:

PDF, 879 KB

english, 1967

41

Many-Particle Dynamics and Kinetic Equations || The Initial Value Problem for L∞ Data: Thermodynamic Limit

Cercignani, C., Gerasimenko, V. I., Petrina, D. Ya.

Year:

1997

Language:

english

File:

PDF, 2.74 MB

english, 1997

42

Many-Particle Dynamics and Kinetic Equations || On the Derivation of Kinetic Equations from the BBGKY Hierarchy

Cercignani, C., Gerasimenko, V. I., Petrina, D. Ya.

Year:

1997

Language:

english

File:

PDF, 1.88 MB

english, 1997

43

Many-Particle Dynamics and Kinetic Equations || Introduction

Cercignani, C., Gerasimenko, V. I., Petrina, D. Ya.

Year:

1997

Language:

english

File:

PDF, 789 KB

english, 1997

44

Many-Particle Dynamics and Kinetic Equations || || Front_matter

Cercignani, C., Gerasimenko, V. I., Petrina, D. Ya.

Year:

1997

Language:

english

File:

PDF, 1.11 MB

english, 1997

45

Many-Particle Dynamics and Kinetic Equations || The Initial Value Problem for the BBGKY Hierarchy of a System of a Finite Number of Particles

Cercignani, C., Gerasimenko, V. I., Petrina, D. Ya.

Year:

1997

Language:

english

File:

PDF, 2.72 MB

english, 1997

46

Many-Particle Dynamics and Kinetic Equations || The BBGKY Hierarchy

Cercignani, C., Gerasimenko, V. I., Petrina, D. Ya.

Year:

1997

Language:

english

File:

PDF, 4.05 MB

english, 1997

47

Many-Particle Dynamics and Kinetic Equations || The Derivation of the Boltzmann Equation

Cercignani, C., Gerasimenko, V. I., Petrina, D. Ya.

Year:

1997

Language:

english

File:

PDF, 3.42 MB

english, 1997

48

Many-Particle Dynamics and Kinetic Equations ||

Cercignani, C., Gerasimenko, V. I., Petrina, D. Ya.

Year:

1997

Language:

english

File:

PDF, 1.11 MB

english, 1997

49

Mathematical problems of statistical mechanics of a system of elastic balls

Petrina, D Ya, Gerasimenko, V I

Journal:

Russian Mathematical Surveys

Year:

1990

Language:

english

File:

PDF, 2.58 MB

english, 1990

50

[de Gruyter Expositions in Mathematics] Stochastic Dynamics and Boltzmann Hierarchy || Chapter 1. System of hard spheres

Petrina, D. Ya.

Year:

2009

Language:

english

File:

PDF, 217 KB

english, 2009

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