Class information for:
Level 1: DOPPLER//TRAPPED MODES//POINT INTERACTIONS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
7203 1394 21.6 45%


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
7203 1                   DOPPLER//TRAPPED MODES//POINT INTERACTIONS 1394

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 DOPPLER address 840915 5% 56% 69
2 TRAPPED MODES authKW 720142 4% 60% 55
3 POINT INTERACTIONS authKW 418357 3% 47% 41
4 DOPPLER MATH PHYS PL MATH address 285105 2% 48% 27
5 QUANTUM WAVEGUIDE authKW 235558 2% 49% 22
6 AUGMENTED SCATTERING MATRIX authKW 153322 1% 100% 7
7 QUANTUM GRAPHS authKW 148027 2% 26% 26
8 DELTA INTERACTION authKW 127432 1% 73% 8
9 MECH ENGN PROBLEMS address 112169 2% 20% 25
10 DIRICHLET LAPLACIAN authKW 96653 1% 28% 16

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 17386 31% 0% 437
2 Mathematics, Applied 3825 22% 0% 301
3 Mathematics 3710 23% 0% 324
4 Physics, Multidisciplinary 3122 23% 0% 317
5 Mechanics 2381 15% 0% 210
6 Physics, Fluids & Plasmas 750 6% 0% 86
7 Acoustics 363 3% 0% 47
8 Engineering, Ocean 268 1% 0% 17
9 Mathematics, Interdisciplinary Applications 47 2% 0% 25
10 Engineering, General 16 1% 0% 19

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 DOPPLER 840915 5% 56% 69
2 DOPPLER MATH PHYS PL MATH 285105 2% 48% 27
3 MECH ENGN PROBLEMS 112169 2% 20% 25
4 ANAL DYNAM MODELING 93446 1% 53% 8
5 PHYS MATH MATH PL 87613 0% 100% 4
6 MATH MODELLING WAVE PHENOMENA 76911 1% 29% 12
7 VO 72385 1% 18% 18
8 HIGHER MATH 58227 2% 10% 27
9 ATOM MOL ENGN 54753 0% 50% 5
10 CAMGSD MATEMAT 49281 0% 75% 3

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 RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS 20341 2% 3% 27
2 QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS 18243 2% 3% 31
3 JOURNAL OF MATHEMATICAL PHYSICS 10793 6% 1% 89
4 JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 10748 5% 1% 65
5 REPORTS ON MATHEMATICAL PHYSICS 10131 2% 2% 22
6 JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 7506 5% 0% 74
7 ST PETERSBURG MATHEMATICAL JOURNAL 7504 1% 3% 12
8 ANNALES HENRI POINCARE 7140 1% 2% 18
9 JOURNAL OF SPECTRAL THEORY 7048 1% 5% 7
10 JOURNAL OF FLUID MECHANICS 5801 5% 0% 64

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 TRAPPED MODES 720142 4% 60% 55 Search TRAPPED+MODES Search TRAPPED+MODES
2 POINT INTERACTIONS 418357 3% 47% 41 Search POINT+INTERACTIONS Search POINT+INTERACTIONS
3 QUANTUM WAVEGUIDE 235558 2% 49% 22 Search QUANTUM+WAVEGUIDE Search QUANTUM+WAVEGUIDE
4 AUGMENTED SCATTERING MATRIX 153322 1% 100% 7 Search AUGMENTED+SCATTERING+MATRIX Search AUGMENTED+SCATTERING+MATRIX
5 QUANTUM GRAPHS 148027 2% 26% 26 Search QUANTUM+GRAPHS Search QUANTUM+GRAPHS
6 DELTA INTERACTION 127432 1% 73% 8 Search DELTA+INTERACTION Search DELTA+INTERACTION
7 DIRICHLET LAPLACIAN 96653 1% 28% 16 Search DIRICHLET+LAPLACIAN Search DIRICHLET+LAPLACIAN
8 SCHRODINGER OPERATOR 80536 3% 8% 44 Search SCHRODINGER+OPERATOR Search SCHRODINGER+OPERATOR
9 SINGULAR VERTEX 78223 0% 71% 5 Search SINGULAR+VERTEX Search SINGULAR+VERTEX
10 SINGULAR INTERACTION 77869 1% 44% 8 Search SINGULAR+INTERACTION Search SINGULAR+INTERACTION

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 LINTON, CM , MCIVER, P , (2007) EMBEDDED TRAPPED MODES IN WATER WAVES AND ACOUSTICS.WAVE MOTION. VOL. 45. ISSUE 1-2. P. 16 -29 46 88% 85
2 KREJCIRIK, D , KRIZ, J , (2005) ON THE SPECTRUM OF CURVED PLANAR WAVEGUIDES.PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES. VOL. 41. ISSUE 3. P. 757 -791 47 90% 42
3 LANGE, RJ , (2015) DISTRIBUTION THEORY FOR SCHRODINGER'S INTEGRAL EQUATION.JOURNAL OF MATHEMATICAL PHYSICS. VOL. 56. ISSUE 12. P. - 38 84% 1
4 ZOLOTARYUK, AV , ZOLOTARYUK, Y , (2014) INTRINSIC RESONANT TUNNELING PROPERTIES OF THE ONE-DIMENSIONAL SCHRODINGER OPERATOR WITH A DELTA DERIVATIVE POTENTIAL.INTERNATIONAL JOURNAL OF MODERN PHYSICS B. VOL. 28. ISSUE 1. P. - 30 88% 3
5 BORISOV, D , CARDONE, G , (2011) PLANAR WAVEGUIDE WITH "TWISTED" BOUNDARY CONDITIONS: DISCRETE SPECTRUM.JOURNAL OF MATHEMATICAL PHYSICS. VOL. 52. ISSUE 12. P. - 32 86% 7
6 KUCHMENT, P , (2002) GRAPH MODELS FOR WAVES IN THIN STRUCTURES.WAVES IN RANDOM MEDIA. VOL. 12. ISSUE 4. P. R1 -R24 57 54% 104
7 ZOLOTARYUK, AV , (2015) AN EXPLICIT REALIZATION OF RESONANT-TUNNELLING DELTA"-POTENTIALS.JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. VOL. 48. ISSUE 25. P. - 26 93% 1
8 NAZAROV, SA , (2016) DISCRETE SPECTRUM OF CRANKED QUANTUM AND ELASTIC WAVEGUIDES.COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS. VOL. 56. ISSUE 5. P. 864 -880 21 100% 0
9 BIKMETOV, AR , GADYL'SHIN, RR , (2016) ON LOCAL PERTURBATIONS OF WAVEGUIDES.RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS. VOL. 23. ISSUE 1. P. 1 -18 22 92% 0
10 KOCINAC, SLS , MILANOVIC, V , (2012) GENERALIZED POINT INTERACTION AND TUNNELING TIMES.MODERN PHYSICS LETTERS B. VOL. 26. ISSUE 15. P. - 24 89% 2

Classes with closest relation at Level 1


Rank Class id link
1 20434 BETHE SOMMERFELD CONJECTURE//ASYMPTOTIC BEHAVIOR OF VIRTUAL EIGENVALUES//VIRTUAL EIGENVALUES
2 18050 OSCILLATING BOUNDARY//OPERATOR ERROR ESTIMATES//PERIODIC DIFFERENTIAL OPERATORS
3 23220 GEOMETRIC MOMENTUM//GEOMETRIC POTENTIAL//CENTER OF MASS STATES
4 12972 KREIN SPACE//DEFINITIZABLE OPERATOR//ANAL TECH MATH
5 20527 ESCUELA FORMAC BASICA//MULTIPLE BARRIER STRUCTURE//PSEUDO GAUSSIAN POTENTIALS
6 25682 WORLD PAN AMER ABORAT SCI TECHNOL//FIS TEOR FISIFLP//QUANTUM MECHANICAL ANOMALY
7 21774 THIN DOMAINS//CONCENTRATING TERMS//DUMBBELL DOMAINS
8 7223 INVERSE SPECTRAL PROBLEM//INVERSE NODAL PROBLEM//STURM LIOUVILLE OPERATOR
9 11187 LIMITING ABSORPTION PRINCIPLE//MOURRE ESTIMATE//RELATIVISTIC SCHRODINGER OPERATORS
10 13318 STAT MECH MATH PHYS//STAT MECH MATH PHYS THEORET CHEM//ANNALES DE L INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE

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