Class information for:
Level 1: GROSS PITAEVSKII HIERARCHY//MEAN FIELD LIMIT//UMR 8088

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
13336 844 24.2 44%


Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes
The table includes all classes above and classes immediately below the current class.


Cluster id Level Cluster label #P
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
549 3       MATHEMATICS//STURM LIOUVILLE OPERATOR//ANNALES HENRI POINCARE 18286
1111 2             ANNALES HENRI POINCARE//COMMUNICATIONS IN MATHEMATICAL PHYSICS//SCHRODINGER OPERATOR 9740
13336 1                   GROSS PITAEVSKII HIERARCHY//MEAN FIELD LIMIT//UMR 8088 844

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 GROSS PITAEVSKII HIERARCHY authKW 361779 1% 100% 10
2 MEAN FIELD LIMIT authKW 151502 2% 25% 17
3 UMR 8088 address 150700 3% 17% 25
4 BROWN RAVENHALL OPERATOR authKW 144712 0% 100% 4
5 BBGKY HIERARCHY authKW 132896 2% 28% 13
6 QUANTUM DE FINETTI THEOREM authKW 129204 1% 71% 5
7 MANY BODY QUANTUM DYNAMICS authKW 115768 0% 80% 4
8 BROWN AND RAVENHALL authKW 108534 0% 100% 3
9 MAGNETIC THOMAS FERMI THEORY authKW 108534 0% 100% 3
10 QUANTUM MANY PARTICLE SYSTEM authKW 108534 0% 100% 3

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 Physics, Mathematical 22992 46% 0% 388
2 Mathematics 3310 28% 0% 235
3 Mathematics, Applied 2420 22% 0% 186
4 Physics, Multidisciplinary 737 15% 0% 126
5 Physics, Particles & Fields 419 8% 0% 69
6 Physics, Atomic, Molecular & Chemical 58 5% 0% 39
7 Mathematics, Interdisciplinary Applications 39 2% 0% 17
8 Mechanics 25 3% 0% 25
9 Optics 8 3% 0% 24
10 Physics, Nuclear 2 1% 0% 11

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 UMR 8088 150700 3% 17% 25
2 UMR8088 100490 1% 56% 5
3 MATH UMR 8088 81399 0% 75% 3
4 PHYS MS 61 54264 0% 50% 3
5 UMR 7534 52825 3% 6% 23
6 DIPARTIMENTO MATEMAT PURA PLICATA R CACCIOPPO 48236 0% 67% 2
7 CERMICS 43269 3% 5% 25
8 ANDRZEJ SOLTAN THEORET PHYS 36178 0% 100% 1
9 COURSE GEN EDUC PL MATH 36178 0% 100% 1
10 DIP MATEMAT L TONELLI 36178 0% 100% 1

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 ANNALES HENRI POINCARE 70735 5% 4% 44
2 COMMUNICATIONS IN MATHEMATICAL PHYSICS 54819 13% 1% 111
3 LETTERS IN MATHEMATICAL PHYSICS 17254 5% 1% 39
4 REVIEWS IN MATHEMATICAL PHYSICS 15364 2% 2% 19
5 JOURNAL OF MATHEMATICAL PHYSICS 10135 8% 0% 67
6 ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 6839 3% 1% 22
7 DOCUMENTA MATHEMATICA 6259 1% 2% 8
8 COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 3338 2% 1% 15
9 JOURNAL OF STATISTICAL PHYSICS 3315 3% 0% 27
10 COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS 3240 1% 1% 12

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 GROSS PITAEVSKII HIERARCHY 361779 1% 100% 10 Search GROSS+PITAEVSKII+HIERARCHY Search GROSS+PITAEVSKII+HIERARCHY
2 MEAN FIELD LIMIT 151502 2% 25% 17 Search MEAN+FIELD+LIMIT Search MEAN+FIELD+LIMIT
3 BROWN RAVENHALL OPERATOR 144712 0% 100% 4 Search BROWN+RAVENHALL+OPERATOR Search BROWN+RAVENHALL+OPERATOR
4 BBGKY HIERARCHY 132896 2% 28% 13 Search BBGKY+HIERARCHY Search BBGKY+HIERARCHY
5 QUANTUM DE FINETTI THEOREM 129204 1% 71% 5 Search QUANTUM+DE+FINETTI+THEOREM Search QUANTUM+DE+FINETTI+THEOREM
6 MANY BODY QUANTUM DYNAMICS 115768 0% 80% 4 Search MANY+BODY+QUANTUM+DYNAMICS Search MANY+BODY+QUANTUM+DYNAMICS
7 BROWN AND RAVENHALL 108534 0% 100% 3 Search BROWN+AND+RAVENHALL Search BROWN+AND+RAVENHALL
8 MAGNETIC THOMAS FERMI THEORY 108534 0% 100% 3 Search MAGNETIC+THOMAS+FERMI+THEORY Search MAGNETIC+THOMAS+FERMI+THEORY
9 QUANTUM MANY PARTICLE SYSTEM 108534 0% 100% 3 Search QUANTUM+MANY+PARTICLE+SYSTEM Search QUANTUM+MANY+PARTICLE+SYSTEM
10 MANY BODY QUANTUM MECHANICS 96472 0% 67% 4 Search MANY+BODY+QUANTUM+MECHANICS Search MANY+BODY+QUANTUM+MECHANICS

Core articles
The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 SOHINGER, V , (2015) A RIGOROUS DERIVATION OF THE DEFOCUSING CUBIC NONLINEAR SCHRODINGER EQUATION ON T-3 FROM THE DYNAMICS OF MANY-BODY QUANTUM SYSTEMS.ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE. VOL. 32. ISSUE 6. P. 1337 -1365 49 83% 3
2 CHEN, XW , HOLMER, J , (2016) CORRELATION STRUCTURES, MANY-BODY SCATTERING PROCESSES, AND THE DERIVATION OF THE GROSS-PITAEVSKII HIERARCHY.INTERNATIONAL MATHEMATICS RESEARCH NOTICES. VOL. . ISSUE 10. P. 3051 -3110 40 77% 3
3 BENEDIKTER, N , PORTA, M , SCHLEIN, B , (2014) MEAN-FIELD EVOLUTION OF FERMIONIC SYSTEMS.COMMUNICATIONS IN MATHEMATICAL PHYSICS. VOL. 331. ISSUE 3. P. 1087 -1131 33 100% 9
4 STAFFILANI, G , SOHINGER, V , GRESSMAN, P , (2014) ON THE UNIQUENESS OF SOLUTIONS TO THE PERIODIC 3D GROSS-PITAEVSKII HIERARCHY.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 266. ISSUE 7. P. 4705-4764 41 77% 10
5 GRILLAKIS, M , MACHEDON, M , MARGETIS, D , (2017) EVOLUTION OF THE BOSON GAS AT ZERO TEMPERATURE: MEAN-FIELD LIMIT AND SECOND-ORDER CORRECTION.QUARTERLY OF APPLIED MATHEMATICS. VOL. 75. ISSUE 1. P. 69 -104 39 80% 0
6 BOCCATO, C , CENATIEMPO, S , SCHLEIN, B , (2017) QUANTUM MANY-BODY FLUCTUATIONS AROUND NONLINEAR SCHRODINGER DYNAMICS.ANNALES HENRI POINCARE. VOL. 18. ISSUE 1. P. 113 -191 31 100% 0
7 CHEN, T , TALIAFERRO, K , (2014) DERIVATION IN STRONG TOPOLOGY AND GLOBAL WELL-POSEDNESS OF SOLUTIONS TO THE GROSS-PITAEVSKII HIERARCHY.COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS. VOL. 39. ISSUE 9. P. 1658 -1693 33 94% 5
8 CHEN, T , HAINZL, C , PAVLOVIC, N , SEIRINGER, R , (2015) UNCONDITIONAL UNIQUENESS FOR THE CUBIC GROSS-PITAEVSKII HIERARCHY VIA QUANTUM DE FINETTI.COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS. VOL. 68. ISSUE 10. P. 1845 -1884 31 94% 5
9 CHEN, XW , HOLMER, J , (2016) FOCUSING QUANTUM MANY-BODY DYNAMICS: THE RIGOROUS DERIVATION OF THE 1D FOCUSING CUBIC NONLINEAR SCHRODINGER EQUATION.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. VOL. 221. ISSUE 2. P. 631 -676 33 77% 3
10 CHEN, X , HOLMER, J , (2016) ON THE KLAINERMAN-MACHEDON CONJECTURE FOR THE QUANTUM BBGKY HIERARCHY WITH SELF-INTERACTION.JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY. VOL. 18. ISSUE 6. P. 1161 -1200 37 76% 1

Classes with closest relation at Level 1


Rank Class id link
1 18560 PAULI FIERZ MODEL//NON RELATIVISTIC QED//NELSON MODEL
2 20434 BETHE SOMMERFELD CONJECTURE//ASYMPTOTIC BEHAVIOR OF VIRTUAL EIGENVALUES//VIRTUAL EIGENVALUES
3 20516 SLATER SUM//GENERAL RELATIVISTIC THOMAS FERMI TREATMENT//ICRANET
4 18463 APPROXIMATING HAMILTONIAN METHOD//GENERALIZED BOSE EINSTEIN CONDENSATION//BOGOLIUBOV WEAKLY IMPERFECT GAS
5 15155 STRONG MAGNETIC FIELD//QUANTUM FLUID DYNAMICS//DOUBLE ELECTRON SYSTEM
6 13318 STAT MECH MATH PHYS//STAT MECH MATH PHYS THEORET CHEM//ANNALES DE L INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE
7 25965 SERV PHYS GEN PHYS PARTICULES ELEMENTAI//UMR 9502//CENTRAL POTENTIALS
8 17097 SELF CONSISTENT CLUSTER EMBEDDING CALCULATION//FREE CLUSTER CALCULATION//ORBITAL FREE DENSITY FUNCTIONAL THEORY
9 11187 LIMITING ABSORPTION PRINCIPLE//MOURRE ESTIMATE//RELATIVISTIC SCHRODINGER OPERATORS
10 15104 THIN FILM EQUATION//QUANTUM DRIFT DIFFUSION MODEL//QUANTUM HYDRODYNAMICS

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