References

Sommerfeld1896

A. Sommerfeld, Mathematische Theorie der Diffraction, Mathematische Annalen 47 (1896), 317–374.

Carslaw1899

H. S. Carslaw, Some multiform solutions of the partial differential equations of physical mathematics and their applications, Proceedings of the London Mathematical Society (1) 30 (1898–1899), 121–161. DOI: 10.1112/plms/s1-30.1.121. The printed contents distinguish Carslaw's paper from Sommerfeld's following note, pp. 161–163.

Carslaw1920

H. S. Carslaw, Diffraction of waves by a wedge of any angle, Proceedings of the London Mathematical Society (2) 18 (1920), 291–306. DOI: 10.1112/plms/s2-18.1.291.

Dowker1977

J. S. Dowker, Quantum field theory on a cone, Journal of Physics A: Mathematical and General 10 (1977), 115–124.

Dowker1987

J. S. Dowker, Casimir effect around a cone, Physical Review D 36 (1987), 3095–3101. DOI: 10.1103/PhysRevD.36.3095.

CheegerTaylor1

J. Cheeger and M. Taylor, On the diffraction of waves by conical singularities. I, Communications on Pure and Applied Mathematics 35 (1982), 275–331.

CheegerTaylor2

J. Cheeger and M. Taylor, On the diffraction of waves by conical singularities. II, Communications on Pure and Applied Mathematics 35 (1982), 487–529. DOI: 10.1002/cpa.3160350403.

KayStuder

B. S. Kay and U. M. Studer, Boundary conditions for quantum mechanics on cones and fields around cosmic strings, Communications in Mathematical Physics 139 (1991), 103–139. DOI: 10.1007/BF02102731.

DerezinskiRichard

J. Dereziński and S. Richard, On Schrödinger operators with inverse square potentials on the half-line, Annales Henri Poincaré 18 (2017), 869–928. DOI: 10.1007/s00023-016-0520-7. https://arxiv.org/abs/1604.03340.

BGP

C. Bär, N. Ginoux, and F. Pfäffle, Wave Equations on Lorentzian Manifolds and Quantization, ESI Lectures in Mathematics and Physics, European Mathematical Society, Zürich, 2007. https://arxiv.org/abs/0806.1036.

AharonovBohm

Y. Aharonov and D. Bohm, Significance of electromagnetic potentials in the quantum theory, Physical Review 115 (1959), 485–491. DOI: 10.1103/PhysRev.115.485.

Watson

G. N. Watson, A Treatise on the Theory of Bessel Functions, 2nd edition, Cambridge University Press, 1944.

DLMF

F. W. J. Olver, A. B. Olde Daalhuis, D. W. Lozier, B. I. Schneider, R. F. Boisvert, C. W. Clark, B. R. Miller, B. V. Saunders, H. S. Cohl, and M. A. McClain, eds., NIST Digital Library of Mathematical Functions. Used: Bessel integral representations and Bessel-transform formulas, especially 10.22 and 10.32. https://dlmf.nist.gov/.

ReedSimonII

M. Reed and B. Simon, Methods of Modern Mathematical Physics II: Fourier Analysis, Self-Adjointness, Academic Press, New York, 1975.

Enter companion manuscripts. The following are unpublished registered manuscript records by N. Cheung. Identifiers and source labels specify the cited contracts; their inclusion does not assert independent verification of every result in a record. Where a full title was not supplied, the registered identifier is used as the title.

CheungIB

N. Cheung, I-B-v1: A Finite Enter Spacetime: Calibrated Destructive Time Readout on a Prescribed Conical Product, version 1, Enter Calculus Companion. Used: prescribed cone, local causal certificate, geometric holonomy, finite instrument and limitations. https://enter.grok.me/browse/I-B.

CheungXAST

N. Cheung, X-A-ST, version 1, Enter Calculus Companion. Used: :host, :signature-ledger, :table, :noeinstein. https://enter.grok.me/browse/X-A-ST.

CheungXBST

N. Cheung, X-B-ST: One scalar retarded map on the X-A-ST host, version 1, Enter Calculus Companion. Used: :host, :supported, :retarded; the separate quantum-order boundary is not transferred. https://enter.grok.me/browse/X-B-ST.

CheungXCST

N. Cheung, X-C-ST: Second-order scalar completion on the inherited X-A-ST/X-B-ST host, version 1, Enter Calculus Companion. Used: :host, :moller, :maps, :support. https://enter.grok.me/browse/X-C-ST.

CheungXDST

N. Cheung, X-D-ST: The sharp-width limit of the completed scalar tests, version 1, Enter Calculus Companion. Used: :host, :propagation, :convergence. https://enter.grok.me/browse/X-D-ST.

CheungVB

N. Cheung, V: Admissible currents, retarded response, and finite Enter readout (local adaptation on a prescribed conical spacetime), source record -B-v1.tex, Enter Calculus Companion. Used: the bulk retarded-response contract and its separate initial-surface term. https://enter.grok.me/browse/V-B.

CheungIXAST

N. Cheung, IX-A-ST: Boundary-sensitive admission of sharp Cauchy insertions on a prescribed conical Enter spacetime, version 1, Enter Calculus Companion. Used: :support, the saturated laboratory, and the free-evolution contract. https://enter.grok.me/browse/IX-A-ST.

CheungIXBST

N. Cheung, IX-B-ST: Source-locked triangle calibration on a prescribed conical Enter spacetime, version 1, Enter Calculus Companion. Used: the supported scalar and presentation-transfer boundaries. https://enter.grok.me/browse/IX-B-ST.

CheungIXCST

N. Cheung, IX-C-ST: A supported partial product for one sharp ordered word, version 1, Enter Calculus Companion. Used: the retained scalar comparison prescription and its distinction from a partial product. https://enter.grok.me/browse/IX-C-ST.

CheungIXDST

N. Cheung, IX-D-ST, version 1, Enter Calculus Companion. Used only for the distinction between supported saturation and a global intrinsic Green-operator theorem. https://enter.grok.me/browse/IX-D-ST.

CheungIIIB

N. Cheung, III-B: Classical relational descent in a conical Enter laboratory, source record -B-v1.tex, Enter Calculus Companion. Used: :Cauchy, in its supported laboratory scope. https://enter.grok.me/browse/III-B.

CheungVIIFST

N. Cheung, VII-F-ST: A particle-supported slicing certificate with a finite spacetime Enter interface, version 1, Enter Calculus Companion. Used only to distinguish its :holonomy from cone holonomy. https://enter.grok.me/browse/VII-F-ST.

CheungVIIIST

N. Cheung, VIII-ST: Affine matching, persistent cellulation, and certified flow on a prescribed conical Enter spacetime, version 1, Enter Calculus Companion. Used: :spinless, :matching; no spin structure or gauge apex condition is imported. https://enter.grok.me/browse/VIII-ST.

CheungXIB

N. Cheung, XI-B, version 1, Enter Calculus Companion. Used: :Green, :graviton; the flat multiplet is not transferred wholesale. https://enter.grok.me/browse/XI-B.

CheungXGST

N. Cheung, X-G-ST, version 1, Enter Calculus Companion. Used: :host; its global matrix Green operators belong to the declared flat completion. https://enter.grok.me/browse/X-G-ST.

CheungEn09

N. Cheung, En09-A, version 1, Enter Calculus Companion. Used: the finite interface discipline and :no-return. https://enter.grok.me/browse/En09-A.

CheungOai282A

N. Cheung, Oai282-A, version 1, Enter Calculus Companion. Used: :coverage, :invisible; neither is a Green-operator construction. https://enter.grok.me/browse/Oai282-A.

CheungOai283A

N. Cheung, Oai283-A, version 1, Enter Calculus Companion. Used: the complete finite transport contract and resource-accounted comparison, not a continuum kernel estimate. https://enter.grok.me/browse/Oai283-A.

CheungXVIOOneST

N. Cheung, XVI-O1-ST, source record -O1-ST-v5.tex, version 5, Enter Calculus Companion. Used: integrity-aware supplied-report and residual-retention discipline only. https://enter.grok.me/browse/XVI-O1-ST.

CheungXAConvST

N. Cheung, X-A-conv-ST, version 1, Enter Calculus Companion. Cited for its retained convolution boundary, not as a premise selecting a Green extension. https://enter.grok.me/browse/X-A-conv-ST.

CheungXIE

N. Cheung, XI-E, version 1, Enter Calculus Companion. Used only to distinguish its named flat-background Hadamard algebra from a conical state or product construction. https://enter.grok.me/browse/XI-E.

CheungEm02E

N. Cheung, Em02-E, Enter Calculus Companion, series record. Named only as an excluded identification; no theorem from this record is used in a proof. https://enter.grok.me/browse/Em02-E.

CheungXVIN

N. Cheung, Landmark XVI-N, Enter Calculus Companion, series record. Frozen classical insertion; not discharged by this paper. https://enter.grok.me/browse/XVI-N.

CheungXVIO

N. Cheung, Landmark XVI-O, Enter Calculus Companion, series record. Read-only status reference; no O.1 update. https://enter.grok.me/browse/XVI-O.

CheungXVB

N. Cheung, XV-B, Enter Calculus Companion, series record. Named only as an unchanged downstream boundary. https://enter.grok.me/browse/XV-B.