Class information for:
Level 1: LIMITING ABSORPTION PRINCIPLE//MOURRE ESTIMATE//RELATIVISTIC SCHRODINGER OPERATORS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
11187 1001 21.2 34%


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
11187 1                   LIMITING ABSORPTION PRINCIPLE//MOURRE ESTIMATE//RELATIVISTIC SCHRODINGER OPERATORS 1001

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 LIMITING ABSORPTION PRINCIPLE authKW 508799 3% 60% 28
2 MOURRE ESTIMATE authKW 152507 1% 50% 10
3 RELATIVISTIC SCHRODINGER OPERATORS authKW 122009 1% 67% 6
4 MOURRE THEORY authKW 95319 0% 63% 5
5 SCATTERING THEORY authKW 85775 3% 9% 33
6 ASYMPTOTIC COMPLETENESS authKW 81332 1% 33% 8
7 ANNALES DE L INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE journal 70949 4% 6% 37
8 LIMITING ABSORPTION authKW 68631 0% 75% 3
9 RESOLVENT ESTIMATES authKW 62730 1% 17% 12
10 ASYMPTOTICS OF GENERALIZED EIGENFUNCTIONS authKW 61007 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 Mathematics 18523 58% 0% 585
2 Physics, Mathematical 8217 26% 0% 256
3 Mathematics, Applied 2770 22% 0% 217
4 Physics, Multidisciplinary 524 12% 0% 120
5 Physics, Particles & Fields 38 3% 0% 30
6 Education, Scientific Disciplines 0 0% 0% 3
7 Physics, Atomic, Molecular & Chemical -0 1% 0% 12
8 Mechanics -1 1% 0% 8
9 Multidisciplinary Sciences -1 0% 0% 1
10 Mathematics, Interdisciplinary Applications -2 0% 0% 2

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 6629 42182 2% 7% 20
2 CNRSUJFUMR 5582 30503 0% 100% 1
3 CNRSUMR 6629UN 30503 0% 100% 1
4 DFG TRAINING GRP ANAL DESIGN SIMULAT NANOTE 30503 0% 100% 1
5 MATEMAT FAG M HYSTO 30503 0% 100% 1
6 MATEMAT FAG M HYSTO 1 30503 0% 100% 1
7 MATH JEAN LERAY MATH 30503 0% 100% 1
8 MATH JUSSIEU PHYS MATH GEOMETRIE 30503 0% 100% 1
9 MEXICO HBEREICH MATH 30503 0% 100% 1
10 SCIUMR 6629 30503 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 70949 4% 6% 37
2 REVIEWS IN MATHEMATICAL PHYSICS 22433 2% 3% 25
3 ANNALES HENRI POINCARE 22432 3% 3% 27
4 COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 19119 4% 2% 39
5 JOURNAL OF FUNCTIONAL ANALYSIS 16302 6% 1% 59
6 COMMUNICATIONS IN MATHEMATICAL PHYSICS 15784 6% 1% 65
7 HELVETICA PHYSICA ACTA 8111 2% 1% 20
8 JOURNAL OF MATHEMATICAL PHYSICS 7772 6% 0% 64
9 ASYMPTOTIC ANALYSIS 7431 2% 1% 17
10 PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES 7008 2% 1% 17

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 LIMITING ABSORPTION PRINCIPLE 508799 3% 60% 28 Search LIMITING+ABSORPTION+PRINCIPLE Search LIMITING+ABSORPTION+PRINCIPLE
2 MOURRE ESTIMATE 152507 1% 50% 10 Search MOURRE+ESTIMATE Search MOURRE+ESTIMATE
3 RELATIVISTIC SCHRODINGER OPERATORS 122009 1% 67% 6 Search RELATIVISTIC+SCHRODINGER+OPERATORS Search RELATIVISTIC+SCHRODINGER+OPERATORS
4 MOURRE THEORY 95319 0% 63% 5 Search MOURRE+THEORY Search MOURRE+THEORY
5 SCATTERING THEORY 85775 3% 9% 33 Search SCATTERING+THEORY Search SCATTERING+THEORY
6 ASYMPTOTIC COMPLETENESS 81332 1% 33% 8 Search ASYMPTOTIC+COMPLETENESS Search ASYMPTOTIC+COMPLETENESS
7 LIMITING ABSORPTION 68631 0% 75% 3 Search LIMITING+ABSORPTION Search LIMITING+ABSORPTION
8 RESOLVENT ESTIMATES 62730 1% 17% 12 Search RESOLVENT+ESTIMATES Search RESOLVENT+ESTIMATES
9 ASYMPTOTICS OF GENERALIZED EIGENFUNCTIONS 61007 0% 100% 2 Search ASYMPTOTICS+OF+GENERALIZED+EIGENFUNCTIONS Search ASYMPTOTICS+OF+GENERALIZED+EIGENFUNCTIONS
10 MICROLOCAL MORSE DECOMPOSITION 61007 0% 100% 2 Search MICROLOCAL+MORSE+DECOMPOSITION Search MICROLOCAL+MORSE+DECOMPOSITION

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 ADACHI, T , (2007) LOCAL RESOLVENT ESTIMATES FOR N-BODY STARK HAMILTONIANS.LETTERS IN MATHEMATICAL PHYSICS. VOL. 82. ISSUE 1. P. 1-8 24 100% 0
2 NAUMKIN, I , WEDER, R , (2015) HIGH-ENERGY AND SMOOTHNESS ASYMPTOTIC EXPANSION OF THE SCATTERING AMPLITUDE FOR THE DIRAC EQUATION AND APPLICATION.MATHEMATICAL METHODS IN THE APPLIED SCIENCES. VOL. 38. ISSUE 12. P. 2427 -2465 25 74% 0
3 ADACHI, T , (2007) ASYMPTOTIC COMPLETENESS FOR N-BODY QUANTUM SYSTEMS WITH LONG-RANGE INTERACTIONS IN A TIME-PERIODIC ELECTRIC FIELD.COMMUNICATIONS IN MATHEMATICAL PHYSICS. VOL. 275. ISSUE 2. P. 443-477 22 96% 0
4 GOLENIA, S , JECKO, T , (2013) WEIGHTED MOURRE'S COMMUTATOR THEORY, APPLICATION TO SCHRODINGER OPERATORS WITH OSCILLATING POTENTIAL.JOURNAL OF OPERATOR THEORY. VOL. 70. ISSUE 1. P. 109 -144 25 69% 1
5 BALLESTEROS, M , WEDER, R , (2016) AHARONOV-BOHM EFFECT AND HIGH-MOMENTA INVERSE SCATTERING FOR THE KLEIN-GORDON EQUATION.ANNALES HENRI POINCARE. VOL. 17. ISSUE 10. P. 2905 -2950 20 80% 0
6 NAUMKIN, I , WEDER, R , (2016) TIME DELAY FOR THE DIRAC EQUATION.LETTERS IN MATHEMATICAL PHYSICS. VOL. 106. ISSUE 10. P. 1345 -1378 17 89% 0
7 HUNZIKER, W , SIGAL, IM , (2000) THE QUANTUM N-BODY PROBLEM.JOURNAL OF MATHEMATICAL PHYSICS. VOL. 41. ISSUE 6. P. 3448 -3510 31 69% 47
8 ADACHI, T , KIMURA, T , SHIMIZU, Y , (2010) SCATTERING THEORY FOR TWO-BODY QUANTUM SYSTEMS WITH SINGULAR POTENTIALS IN A TIME-PERIODIC ELECTRIC FIELD.JOURNAL OF MATHEMATICAL PHYSICS. VOL. 51. ISSUE 3. P. - 18 95% 0
9 VALENCIA, GD , WEDER, R , (2012) HIGH-VELOCITY ESTIMATES AND INVERSE SCATTERING FOR QUANTUM N-BODY SYSTEMS WITH STARK EFFECT.JOURNAL OF MATHEMATICAL PHYSICS. VOL. 53. ISSUE 10. P. - 22 71% 2
10 ADACHI, T , ISHIDA, A , (2011) SCATTERING IN AN EXTERNAL ELECTRIC FIELD ASYMPTOTICALLY CONSTANT IN TIME.JOURNAL OF MATHEMATICAL PHYSICS. VOL. 52. ISSUE 6. P. - 17 94% 0

Classes with closest relation at Level 1


Rank Class id link
1 13318 STAT MECH MATH PHYS//STAT MECH MATH PHYS THEORET CHEM//ANNALES DE L INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE
2 14498 PRIME ORBIT THEOREM//1D DIRAC//RESONANCES
3 20434 BETHE SOMMERFELD CONJECTURE//ASYMPTOTIC BEHAVIOR OF VIRTUAL EIGENVALUES//VIRTUAL EIGENVALUES
4 30984 RADIATING SOLUTIONS//VOLUME SINGULAR INTEGRAL EQUATION//EVOLUTIONARY EQUATIONS
5 18560 PAULI FIERZ MODEL//NON RELATIVISTIC QED//NELSON MODEL
6 32684 BOUNDARY MINIMUM POINT//LAMIE//UNITE MIXTE RECH PHYS THEOR
7 8884 INVERSE CONDUCTIVITY PROBLEM//DIRICHLET TO NEUMANN MAP//CALDERON PROBLEM
8 10806 DISPERSIVE ESTIMATES//NON FREDHOLM OPERATORS//ORBITAL STABILITY
9 18570 UNIQUE CONTINUATION//STRONG UNIQUE CONTINUATION//SIZE ESTIMATES
10 26798 EUH PARK SEKIGAWA IDENTITY//PAPPUS FORMULAE//SINGER THORPE BASIS

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