Class information for:
Level 1: STAT MECH MATH PHYS//STAT MECH MATH PHYS THEORET CHEM//ANNALES DE L INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
13318 845 22.1 41%


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
13318 1                   STAT MECH MATH PHYS//STAT MECH MATH PHYS THEORET CHEM//ANNALES DE L INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE 845

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 STAT MECH MATH PHYS address 621175 2% 90% 19
2 STAT MECH MATH PHYS THEORET CHEM address 196732 1% 78% 7
3 ANNALES DE L INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE journal 147462 6% 8% 49
4 EIGENVALUE CROSSING authKW 144536 1% 67% 6
5 BORN OPPENHEIMER APPROXIMATION authKW 121403 2% 20% 17
6 SEMI CLASSICAL MEASURES WIGNER MEASURES authKW 108405 0% 100% 3
7 LANDAU ZENER FORMULA authKW 96358 0% 67% 4
8 CNRS UJF 5582 address 81302 0% 75% 3
9 AGMON DISTANCE authKW 72270 0% 100% 2
10 BLOCH BUNDLE authKW 72270 0% 100% 2

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 18081 41% 0% 345
2 Mathematics 3868 30% 0% 253
3 Mathematics, Applied 1818 19% 0% 163
4 Physics, Multidisciplinary 1701 22% 0% 183
5 Physics, Particles & Fields 62 4% 0% 32
6 Multidisciplinary Sciences 14 1% 0% 8
7 Mathematics, Interdisciplinary Applications 5 1% 0% 9
8 Physics, Atomic, Molecular & Chemical 4 2% 0% 19
9 Education, Scientific Disciplines 0 0% 0% 2
10 Mathematical & Computational Biology -1 0% 0% 1

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 STAT MECH MATH PHYS 621175 2% 90% 19
2 STAT MECH MATH PHYS THEORET CHEM 196732 1% 78% 7
3 CNRS UJF 5582 81302 0% 75% 3
4 CAQP 72270 0% 100% 2
5 CNRS FR3399 72270 0% 100% 2
6 PROJET MICMAC ENPC 72270 0% 100% 2
7 UA 760 48179 0% 67% 2
8 AGM MATH 36135 0% 100% 1
9 ANESTOC MATEMAT 36135 0% 100% 1
10 CMLS MATH 36135 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 DE L INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE 147462 6% 8% 49
2 COMMUNICATIONS IN MATHEMATICAL PHYSICS 40929 11% 1% 96
3 ASYMPTOTIC ANALYSIS 39584 4% 3% 36
4 ANNALES HENRI POINCARE 32825 4% 3% 30
5 REVIEWS IN MATHEMATICAL PHYSICS 28755 3% 3% 26
6 JOURNAL OF MATHEMATICAL PHYSICS 12702 9% 0% 75
7 COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 9295 3% 1% 25
8 LETTERS IN MATHEMATICAL PHYSICS 4513 2% 1% 20
9 HELVETICA PHYSICA ACTA 3452 1% 1% 12
10 ANNALS OF PHYSICS 3076 2% 0% 20

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 EIGENVALUE CROSSING 144536 1% 67% 6 Search EIGENVALUE+CROSSING Search EIGENVALUE+CROSSING
2 BORN OPPENHEIMER APPROXIMATION 121403 2% 20% 17 Search BORN+OPPENHEIMER+APPROXIMATION Search BORN+OPPENHEIMER+APPROXIMATION
3 SEMI CLASSICAL MEASURES WIGNER MEASURES 108405 0% 100% 3 Search SEMI+CLASSICAL+MEASURES+WIGNER+MEASURES Search SEMI+CLASSICAL+MEASURES+WIGNER+MEASURES
4 LANDAU ZENER FORMULA 96358 0% 67% 4 Search LANDAU+ZENER+FORMULA Search LANDAU+ZENER+FORMULA
5 AGMON DISTANCE 72270 0% 100% 2 Search AGMON+DISTANCE Search AGMON+DISTANCE
6 BLOCH BUNDLE 72270 0% 100% 2 Search BLOCH+BUNDLE Search BLOCH+BUNDLE
7 FOURIER INTEGRAL OPERATOR WITH COMPLEX VALUED PHASE FUNCTION 72270 0% 100% 2 Search FOURIER+INTEGRAL+OPERATOR+WITH+COMPLEX+VALUED+PHASE+FUNCTION Search FOURIER+INTEGRAL+OPERATOR+WITH+COMPLEX+VALUED+PHASE+FUNCTION
8 GAUGE INVARIANT MAGNETIC PERTURBATION THEORY 72270 0% 100% 2 Search GAUGE+INVARIANT+MAGNETIC+PERTURBATION+THEORY Search GAUGE+INVARIANT+MAGNETIC+PERTURBATION+THEORY
9 HUSIMI FUNCTIONS 72270 0% 100% 2 Search HUSIMI+FUNCTIONS Search HUSIMI+FUNCTIONS
10 N LEVEL S MATRIX 72270 0% 100% 2 Search N+LEVEL+S+MATRIX Search N+LEVEL+S+MATRIX

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 JECKO, T , (2014) ON THE MATHEMATICAL TREATMENT OF THE BORN-OPPENHEIMER APPROXIMATION.JOURNAL OF MATHEMATICAL PHYSICS. VOL. 55. ISSUE 5. P. - 28 74% 3
2 HAGEDORN, GA , JOYE, A , (1999) MOLECULAR PROPAGATION THROUGH SMALL AVOIDED CROSSINGS OF ELECTRON ENERGY LEVELS.REVIEWS IN MATHEMATICAL PHYSICS. VOL. 11. ISSUE 1. P. 41 -101 26 100% 20
3 SAVOIE, B , (2015) ON THE ATOMIC ORBITAL MAGNETISM: A RIGOROUS DERIVATION OF THE LARMOR AND VAN VLECK CONTRIBUTIONS.ANNALES HENRI POINCARE. VOL. 16. ISSUE 1. P. 45 -97 21 78% 1
4 MARTINEZ, A , SORDONI, V , (2015) ON THE BORN-OPPENHEIMER APPROXIMATION OF DIATOMIC MOLECULAR RESONANCES.JOURNAL OF MATHEMATICAL PHYSICS. VOL. 56. ISSUE 10. P. - 16 100% 0
5 KLEIN, M , RAMA, J , (2014) TIME ASYMPTOTICS OF E(-ITH(KAPPA)) FOR ANALYTIC MATRICES AND ANALYTIC PERTURBATION THEORY.ASYMPTOTIC ANALYSIS. VOL. 89. ISSUE 3-4. P. 189 -233 19 83% 0
6 IFTIMIE, V , MANTOIU, M , PURICE, R , (2007) MAGNETIC PSEUDODIFFERENTIAL OPERATORS.PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES. VOL. 43. ISSUE 3. P. 585-623 21 84% 25
7 IFTIMIE, V , PURICE, R , (2015) THE PEIERLS-ONSAGER EFFECTIVE HAMILTONIAN IN A COMPLETE GAUGE COVARIANT SETTING: DETERMINING THE SPECTRUM.JOURNAL OF SPECTRAL THEORY. VOL. 5. ISSUE 3. P. 445 -531 16 94% 0
8 CORNEAN, HD , PURICE, R , (2015) SPECTRAL EDGE REGULARITY OF MAGNETIC HAMILTONIANS.JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES. VOL. 92. ISSUE . P. 89 -104 18 82% 0
9 HAGEDORN, GA , JOYE, A , (1998) LANDAU-ZENER TRANSITIONS THROUGH SMALL ELECTRONIC EIGENVALUE GAPS IN THE BORN-OPPENHEIMER APPROXIMATION.ANNALES DE L INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE. VOL. 68. ISSUE 1. P. 85-134 22 100% 31
10 FUJIIE, S , MARTINEZ, A , WATANABE, T , (2016) MOLECULAR PREDISSOCIATION RESONANCES NEAR AN ENERGY-LEVEL CROSSING I: ELLIPTIC INTERACTION.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 260. ISSUE 5. P. 4051 -4085 14 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 11187 LIMITING ABSORPTION PRINCIPLE//MOURRE ESTIMATE//RELATIVISTIC SCHRODINGER OPERATORS
2 20434 BETHE SOMMERFELD CONJECTURE//ASYMPTOTIC BEHAVIOR OF VIRTUAL EIGENVALUES//VIRTUAL EIGENVALUES
3 14256 QUANTUM ERGODICITY//DCAIN//EIGENFUNCTION ESTIMATES
4 14498 PRIME ORBIT THEOREM//1D DIRAC//RESONANCES
5 18560 PAULI FIERZ MODEL//NON RELATIVISTIC QED//NELSON MODEL
6 25210 MASLOV CANONICAL OPERATOR//SPECTRAL CLUSTER//RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS
7 4794 RANDOM SCHRODINGER OPERATORS//INTEGRATED DENSITY OF STATES//ABSOLUTELY CONTINUOUS SPECTRUM
8 13336 GROSS PITAEVSKII HIERARCHY//MEAN FIELD LIMIT//UMR 8088
9 19415 HIGH FREQUENCY WAVES//HIGH FREQUENCY WAVE PROPAGATION//HAMILTONIAN PRESERVING SCHEMES
10 15104 THIN FILM EQUATION//QUANTUM DRIFT DIFFUSION MODEL//QUANTUM HYDRODYNAMICS

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