{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,12]],"date-time":"2026-06-12T01:18:24Z","timestamp":1781227104799,"version":"3.54.1"},"reference-count":45,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2015,1,16]],"date-time":"2015-01-16T00:00:00Z","timestamp":1421366400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/doi.wiley.com\/10.1002\/tdm_license_1.1"},{"start":{"date-parts":[[2015,1,16]],"date-time":"2015-01-16T00:00:00Z","timestamp":1421366400000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of the London Mathematical Society"],"published-print":{"date-parts":[[2015,2]]},"DOI":"10.1112\/jlms\/jdu068","type":"journal-article","created":{"date-parts":[[2015,1,19]],"date-time":"2015-01-19T20:54:47Z","timestamp":1421700887000},"page":"159-179","source":"Crossref","is-referenced-by-count":5,"title":["Equidistribution of phase shifts in semiclassical potential scattering"],"prefix":"10.1112","volume":"91","author":[{"given":"Jesse","family":"Gell-Redman","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Andrew","family":"Hassell","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Steve","family":"Zelditch","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"311","published-online":{"date-parts":[[2015,1,16]]},"reference":[{"key":"10.1112\/jlms\/jdu068-BIB1|jlms0159-cit-C1","author":"Abramowitz","year":"1964","journal-title":"Handbook of mathematical functions with formulas, graphs, and mathematical tables"},{"key":"10.1112\/jlms\/jdu068-BIB2|jlms0159-cit-C2","doi-asserted-by":"crossref","first-page":"1505","DOI":"10.1080\/03605300500299588","article-title":"Structure of the semi-classical amplitude for general scattering relations","volume":"30","author":"Alexandrova","year":"2005","journal-title":"Comm. Partial Differential Equations"},{"key":"10.1112\/jlms\/jdu068-BIB3|jlms0159-cit-C3","first-page":"267","article-title":"Resolvent and scattering matrix at the maximum of the potential","volume":"34","author":"Alexandrova","year":"2008","journal-title":"Serdica Math. J."},{"key":"10.1112\/jlms\/jdu068-BIB4|jlms0159-cit-C4","first-page":"989","article-title":"Asymptotics of the spectrum of the s-matrix in potential scattering","volume":"25","author":"Birman","year":"1980","journal-title":"Soviet Phys. Dokl."},{"key":"10.1112\/jlms\/jdu068-BIB5|jlms0159-cit-C5","doi-asserted-by":"crossref","first-page":"344","DOI":"10.1007\/BF01029260","article-title":"Asymptotic behavior of limit phases for scattering by potentials without spherical symmetry","volume":"51","author":"Birman","year":"1982","journal-title":"Theoret. Math. Phys."},{"key":"10.1112\/jlms\/jdu068-BIB6|jlms0159-cit-C6","doi-asserted-by":"crossref","first-page":"693","DOI":"10.1007\/s00220-012-1551-7","article-title":"The spectral density of the scattering matrix for high energies","volume":"316","author":"Bulger","year":"2012","journal-title":"Comm. Math. Phys."},{"key":"10.1112\/jlms\/jdu068-BIB7|jlms0159-cit-C7","doi-asserted-by":"crossref","first-page":"517","DOI":"10.4171\/JST\/54","article-title":"The spectral density of the scattering matrix of the magnetic Schr\u00f6dinger operator for high energies","author":"Bulger","year":"2013","journal-title":"J. Spectr. Theory"},{"key":"10.1112\/jlms\/jdu068-BIB8|jlms0159-cit-C8","doi-asserted-by":"crossref","first-page":"563","DOI":"10.1007\/s00220-009-0937-7","article-title":"The scattering matrix and associated formulas in Hamiltonian mechanics","volume":"293","author":"Buslaev","year":"2010","journal-title":"Comm. Math. Phys."},{"key":"10.1112\/jlms\/jdu068-BIB9|jlms0159-cit-C9","article-title":"Sur le comportement semi-classique de l\u2019amplitude de diffusion d\u2019un hamiltonien quantique (French) [On the semiclassical behavior of the scattering amplitude of a quantum Hamiltonian]","author":"Chazarain","year":"1981","journal-title":"Goulaouic-Meyer-Schwartz Seminar, 1980-1981"},{"key":"10.1112\/jlms\/jdu068-BIB10|jlms0159-cit-C10","doi-asserted-by":"crossref","first-page":"209","DOI":"10.1007\/s00220-013-1841-8","article-title":"Approximation and equidistribution of phase shifts: spherical symmetry","volume":"326","author":"Datchev","year":"2014","journal-title":"Comm. Math. Phys."},{"key":"10.1112\/jlms\/jdu068-BIB11|jlms0159-cit-C11","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511662195","author":"Dimassi","year":"1999","journal-title":"Spectral asymptotics in the semi-classical limit"},{"key":"10.1112\/jlms\/jdu068-BIB12|jlms0159-cit-C12","doi-asserted-by":"crossref","first-page":"1055","DOI":"10.1088\/0951-7715\/5\/5\/003","article-title":"Semiclassical quantization of chaotic billiards: a scattering theory approach","volume":"5","author":"Doron","year":"1992","journal-title":"Nonlinearity"},{"key":"10.1112\/jlms\/jdu068-BIB13|jlms0159-cit-C13","doi-asserted-by":"crossref","first-page":"207","DOI":"10.1002\/cpa.3160270205","article-title":"Oscillatory integrals, Lagrange immersions and unfolding of singularities","volume":"27","author":"Duistermaat","year":"1974","journal-title":"Comm. Pure Appl. Math."},{"key":"10.1112\/jlms\/jdu068-BIB14|jlms0159-cit-C14","doi-asserted-by":"crossref","first-page":"323","DOI":"10.1007\/BF01217809","article-title":"Breit-Wigner formulas for the scattering phase and the total scattering cross-section in the semi-classical limit","volume":"121","author":"G\u00e9rard","year":"1989","journal-title":"Comm. Math. Phys."},{"key":"10.1112\/jlms\/jdu068-BIB15|jlms0159-cit-C15","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511721441.001","article-title":"An introduction","author":"Grigis","year":"1994","journal-title":"Microlocal analysis for differential operators"},{"key":"10.1112\/jlms\/jdu068-BIB16|jlms0159-cit-C16","first-page":"69","article-title":"Sojourn times and asymptotic properties of the scattering matrix","volume":"12","author":"Guillemin","year":"1976\/77 supplement","journal-title":"Proceedings of the Oji Seminar on Algebraic Analysis and the RIMS Symposium on Algebraic Analysis (Kyoto Univ., Kyoto, 1976)"},{"key":"10.1112\/jlms\/jdu068-BIB17|jlms0159-cit-C17","author":"Guillemin","year":"2010","journal-title":"Semi-classical analysis"},{"key":"10.1112\/jlms\/jdu068-BIB18|jlms0159-cit-C18","doi-asserted-by":"crossref","first-page":"241","DOI":"10.1007\/BF02788243","article-title":"The spectral projections and the resolvent for scattering metrics","volume":"79","author":"Hassell","year":"1999","journal-title":"J. Anal. Math."},{"key":"10.1112\/jlms\/jdu068-BIB19|jlms0159-cit-C19","doi-asserted-by":"crossref","first-page":"586","DOI":"10.1016\/j.aim.2007.08.006","article-title":"The semiclassical resolvent and the propagator for non-trapping scattering metrics","volume":"217","author":"Hassell","year":"2008","journal-title":"Adv. Math."},{"key":"10.1112\/jlms\/jdu068-BIB20|jlms0159-cit-C20","doi-asserted-by":"crossref","first-page":"282","DOI":"10.1007\/BF01646269","article-title":"The S-matrix in classical mechanics","volume":"8","author":"Hunziker","year":"1968","journal-title":"Comm. Math. Phys."},{"issue":"(2)","key":"10.1112\/jlms\/jdu068-BIB21|jlms0159-cit-C21","doi-asserted-by":"crossref","first-page":"557","DOI":"10.1103\/PhysRev.102.557","article-title":"Determination of the potential from scattering data","volume":"102","author":"Keller","year":"1956","journal-title":"Phys. Rev."},{"key":"10.1112\/jlms\/jdu068-BIB22|jlms0159-cit-C22","doi-asserted-by":"crossref","first-page":"323","DOI":"10.1007\/BF01428204","article-title":"Generic properties of geodesic flows","volume":"197","author":"Klingenberg","year":"1972","journal-title":"Math. Ann."},{"key":"10.1112\/jlms\/jdu068-BIB23|jlms0159-cit-C23","doi-asserted-by":"crossref","first-page":"261","DOI":"10.1002\/cpa.3160290303","article-title":"High frequency asymptotics for the scattering matrix and the inverse problem of acoustical scattering","volume":"29","author":"Majda","year":"1976","journal-title":"Comm. Pure Appl. Math."},{"key":"10.1112\/jlms\/jdu068-BIB24|jlms0159-cit-C24","author":"Melrose","year":"1995","journal-title":"Geometric scattering theory"},{"key":"10.1112\/jlms\/jdu068-BIB25|jlms0159-cit-C25","first-page":"85","article-title":"Spectral and scattering theory for the Laplacian on asymptotically Euclidian spaces","author":"Melrose","year":"1994","journal-title":"Spectral and scattering theory (Sanda, 1992)"},{"issue":"(3)","key":"10.1112\/jlms\/jdu068-BIB26|jlms0159-cit-C26","doi-asserted-by":"crossref","first-page":"5038","DOI":"10.1103\/PhysRevA.38.5038","article-title":"Classical inverse problem for finite scattering region","volume":"38","author":"Mijatovi\u0107","year":"1988","journal-title":"Phys. Rev. A"},{"key":"10.1112\/jlms\/jdu068-BIB27|jlms0159-cit-C27","doi-asserted-by":"crossref","first-page":"173","DOI":"10.1007\/s002200050753","article-title":"Spectral shift function for trapping energies in the semiclassical limit","volume":"208","author":"Nakamura","year":"1999","journal-title":"Comm. Math. Phys."},{"key":"10.1112\/jlms\/jdu068-BIB28|jlms0159-cit-C28","doi-asserted-by":"crossref","first-page":"1725","DOI":"10.1090\/S0002-9947-2013-06077-1","article-title":"The spectrum of the scattering matrix near resonant energies in the semiclassical limit","volume":"366","author":"Nakamura","year":"2014","journal-title":"Trans. Amer. Math. Soc."},{"issue":"(3)","key":"10.1112\/jlms\/jdu068-BIB29|jlms0159-cit-C29","doi-asserted-by":"crossref","first-page":"1688","DOI":"10.1103\/PhysRevA.23.1688","article-title":"Canonical scattering transformation in classical mechanics","volume":"23","author":"Narnhofer","year":"1981","journal-title":"Phys. Rev. A"},{"key":"10.1112\/jlms\/jdu068-BIB30|jlms0159-cit-C30","doi-asserted-by":"crossref","first-page":"141","DOI":"10.1007\/BF02384831","article-title":"Small angle scattering and X-ray transform in classical mechanics","volume":"37","author":"Novikov","year":"1999","journal-title":"Ark. Mat."},{"key":"10.1112\/jlms\/jdu068-BIB31|jlms0159-cit-C31","doi-asserted-by":"crossref","first-page":"505","DOI":"10.1007\/BF01161919","article-title":"Spectrum of the Poincar\u00e9 map for periodic reflecting rays in generic domains","volume":"194","author":"Petkov","year":"1987","journal-title":"Math. Z."},{"key":"10.1112\/jlms\/jdu068-BIB32|jlms0159-cit-C32","author":"Petkov","year":"1992","journal-title":"Geometry of reflecting rays and inverse spectral problems"},{"key":"10.1112\/jlms\/jdu068-BIB33|jlms0159-cit-C33","author":"Reed","year":"1979","journal-title":"Methods of modern mathematical physics. III"},{"key":"10.1112\/jlms\/jdu068-BIB34|jlms0159-cit-C34","doi-asserted-by":"crossref","first-page":"1017","DOI":"10.1080\/03605308408820355","article-title":"Semiclassical bounds for resolvents of Schr\u00f6dinger operators and asymptotics for scattering phases","volume":"9","author":"Robert","year":"1984","journal-title":"Comm. Partial Differential Equations"},{"key":"10.1112\/jlms\/jdu068-BIB35|jlms0159-cit-C35","doi-asserted-by":"crossref","first-page":"155","DOI":"10.5802\/aif.1162","article-title":"Asymptotic behavior of scattering amplitudes in semi-classical and low energy limits","volume":"39","author":"Robert","year":"1989","journal-title":"Ann. Inst. Fourier (Grenoble)"},{"key":"10.1112\/jlms\/jdu068-BIB36|jlms0159-cit-C36","doi-asserted-by":"crossref","first-page":"37","DOI":"10.1007\/BF01877595","article-title":"Wave operators for classical particle scattering","volume":"23","author":"Simon","year":"1971","journal-title":"Comm. Math. Phys."},{"key":"10.1112\/jlms\/jdu068-BIB37|jlms0159-cit-C37","first-page":"155","article-title":"Phase analysis in the problem of scattering by a radial potential","volume":"147","author":"Sobolev","year":"1985","journal-title":"Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI)"},{"key":"10.1112\/jlms\/jdu068-BIB38|jlms0159-cit-C38","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4419-7052-7","author":"Taylor","year":"2011","journal-title":"Partial differential equations II. Qualitative studies of linear equations"},{"key":"10.1112\/jlms\/jdu068-BIB39|jlms0159-cit-C39","first-page":"6","article-title":"Quasiclassical approximation in stationary scattering problems","volume":"11","author":"Va\u0131\u02d8nberg","year":"1977","journal-title":"Funktsional. Anal. i Prilo\u017ehen."},{"key":"10.1112\/jlms\/jdu068-BIB40|jlms0159-cit-C40","doi-asserted-by":"crossref","first-page":"205","DOI":"10.1007\/s002200000207","article-title":"Semiclassical estimates in asymptotically Euclidean scattering","volume":"212","author":"Vasy","year":"2000","journal-title":"Comm. Math. Phys."},{"key":"10.1112\/jlms\/jdu068-BIB41|jlms0159-cit-C41","doi-asserted-by":"crossref","first-page":"395","DOI":"10.1090\/S0002-9947-1990-0987170-X","article-title":"Time-delay operators in semiclassical limit. II. Short-range potentials","volume":"322","author":"Wang","year":"1990","journal-title":"Trans. Amer. Math. Soc."},{"key":"10.1112\/jlms\/jdu068-BIB42|jlms0159-cit-C42","doi-asserted-by":"crossref","DOI":"10.1090\/surv\/158","author":"Yafaev","year":"2010","journal-title":"Mathematical scattering theory: analytic theory"},{"key":"10.1112\/jlms\/jdu068-BIB43|jlms0159-cit-C43","doi-asserted-by":"crossref","first-page":"221","DOI":"10.1080\/03605309208820840","article-title":"Kuznecov sum formulae and Szeg\u0151 limit formulae on manifolds","volume":"17","author":"Zelditch","year":"1992","journal-title":"Comm. Partial Differential Equations"},{"key":"10.1112\/jlms\/jdu068-BIB44|jlms0159-cit-C44","doi-asserted-by":"crossref","first-page":"305","DOI":"10.5802\/aif.1568","article-title":"Index and dynamics of quantized contact transformations","volume":"47","author":"Zelditch","year":"1997","journal-title":"Ann. Inst. Fourier (Grenoble)"},{"key":"10.1112\/jlms\/jdu068-BIB45|jlms0159-cit-C45","doi-asserted-by":"crossref","DOI":"10.1090\/gsm\/138","author":"Zworski","year":"2012","journal-title":"Semiclassical analysis"}],"container-title":["Journal of the London Mathematical Society"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1112%2Fjlms%2Fjdu068","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/onlinelibrary.wiley.com\/wol1\/doi\/10.1112\/jlms\/jdu068\/fullpdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,7,20]],"date-time":"2021-07-20T11:09:52Z","timestamp":1626779392000},"score":1,"resource":{"primary":{"URL":"http:\/\/doi.wiley.com\/10.1112\/jlms\/jdu068"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,1,16]]},"references-count":45,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2015,2]]}},"URL":"https:\/\/doi.org\/10.1112\/jlms\/jdu068","archive":["Portico"],"relation":{},"ISSN":["0024-6107"],"issn-type":[{"value":"0024-6107","type":"print"}],"subject":[],"published":{"date-parts":[[2015,1,16]]}}}