Mathematics | Cambridge Core

Welcome to the mathematics research hub for papers categorised under MSC 2010 classifications as Quantum Theory. Papers on this page are organised in collections from 81- through 81V, although not all collections may have papers published in that area at this time. Visit the MSC2010 database from MathScinet for a full list of codes.

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81-XX: Quantum theory 81Pxx: Axiomatics, foundations, philosophy 81Qxx: General mathematical topics and methods in quantum theory 81Rxx: Groups and algebras in quantum theory 81Sxx: General quantum mechanics and problems of quantization 81Txx: Quantum field theory; related classical field theories 81Uxx: Scattering theory 81Vxx: Applications to specific physical systems

Quantum theory (81-XX)

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Article
The Landau-Zener Transition and the Surface Hopping Method for the 2D Dirac Equation for Graphene
Ali Faraj, Shi Jin
Communications in Computational Physics, Volume 21, Issue 2

Article
A Time-Space Adaptive Method for the Schrödinger Equation
Katharina Kormann
Communications in Computational Physics, Volume 20, Issue 1

Article
Accurate and Efficient Numerical Methods for Computing Ground States and Dynamics of Dipolar Bose-Einstein Condensates via the Nonuniform FFT
Weizhu Bao, Qinglin Tang, Yong Zhang
Communications in Computational Physics, Volume 19, Issue 5

Article
Numerical Path Integral Approach to Quantum Dynamics and Stationary Quantum States
Ilkka Ruokosenmäki, Tapio T. Rantala
Communications in Computational Physics, Volume 18, Issue 1

Article
Non-variational computation of the eigenstates of Dirac operators with radially symmetric potentials
Lyonell Boulton, Nabile Boussaid
LMS Journal of Computation and Mathematics, Volume 13

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Axiomatics, foundations, philosophy (81Pxx)

General mathematical topics and methods in quantum theory (81Qxx)

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Article
Scattering and pairing by exchange interactions
Jean-Bernard Bru, Walter de Siqueira Pedra, Alan Ramer dos Santos
Forum of Mathematics, Sigma, Volume 13

Article
log-Hölder continuity of the rotation number
ANTON GORODETSKI, VICTOR KLEPTSYN
Ergodic Theory and Dynamical Systems, First View

Article
Enhanced superconductivity at a corner for the linear BCS equation
Barbara Roos, Robert Seiringer
Forum of Mathematics, Sigma, Volume 13

Article
Graphing, homotopy groups of spheres, and spaces of long links and knots
Robin Koytcheff
Forum of Mathematics, Sigma, Volume 13

Article
Localization in the random XXZ quantum spin chain
Alexander Elgart, Abel Klein
Forum of Mathematics, Sigma, Volume 12

Article
Inhomogeneous isotropic quantum spin chain associated with the difference Lamé equation
Jan Felipe van Diejen
Forum of Mathematics, Sigma, Volume 12

Article
Dual formulation of constrained solutions of the multi-state Choquard equation
Gershon Wolansky
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Pressure of a dilute spin-polarized Fermi gas: Lower bound
Asbjørn Bækgaard Lauritsen, Robert Seiringer
Forum of Mathematics, Sigma, Volume 12

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Groups and algebras in quantum theory (81Rxx)

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Article
Density and unitarity of the Burau representation from a non-semisimple TQFT
Nathan Geer, Aaron Lauda, Bertrand Patureau-Mirand, Joshua Sussan
Canadian Journal of Mathematics, First View

Article
Wreath Macdonald operators
Daniel Orr, Mark Shimozono, Joshua Wen
Forum of Mathematics, Sigma, Volume 13

Article
Corrigendum: Conformal blocks for Galois covers of algebraic curves
Jiuzu Hong, Shrawan Kumar
Compositio Mathematica, Volume 161, Issue 4

Article
Constructing skew left braces whose additive group has trivial centre
Adolfo Ballester-Bolinches, Ramón Esteban-Romero, Paz Jiménez-Seral, Vicent Pérez-Calabuig
Canadian Mathematical Bulletin, Volume 68, Issue 3

Article
From actions of an abelian group on itself to left braces
A. BALLESTER–BOLINCHES, R. ESTEBAN–ROMERO, L. A. KURDACHENKO, V. PÉREZ–CALABUIG
Mathematical Proceedings of the Cambridge Philosophical Society, Volume 178, Issue 1

Article
Singularities of nilpotent Slodowy slices and collapsing levels of W-algebras
Tomoyuki Arakawa, Jethro van Ekeren, Anne Moreau
Forum of Mathematics, Sigma, Volume 12

Article
Laurent family of simple modules over quiver Hecke algebras
Masaki Kashiwara, Myungho Kim, Se-jin Oh, Euiyong Park
Compositio Mathematica, Volume 160, Issue 8

Article
Connes fusion of spinors on loop space
Peter Kristel, Konrad Waldorf
Compositio Mathematica, Volume 160, Issue 7

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General quantum mechanics and problems of quantization (81Sxx)

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Article
Some Fock spaces with depth two action
Michael Anshelevich, Jacob Mashburn
Canadian Journal of Mathematics, First View

Article
Propagation of anisotropic Gabor wave front sets
Patrik Wahlberg
Proceedings of the Edinburgh Mathematical Society, Volume 67, Issue 3

Article
Thermalization in Kitaev’s quantum double models via tensor network techniques
Angelo Lucia, David Pérez-García, Antonio Pérez-Hernández
Forum of Mathematics, Sigma, Volume 11

Article
A SHORT NOTE ON THE FRAME SET OF ODD FUNCTIONS
MARKUS FAULHUBER
Bulletin of the Australian Mathematical Society, Volume 98, Issue 3

Article
A NOTE ON MARKOVIAN QUANTUM DYNAMICS
L. CHEN, H. X. MENG, H. X. CAO, Y. F. HUANG, Y. YANG
The ANZIAM Journal, Volume 58, Issue 3-4

Article
A Model of a Quantum Particle in a Quantum Environment: A Numerical Study
Raffaele Carlone, Rodolfo Figari, Claudia Negulescu
Communications in Computational Physics, Volume 18, Issue 1

Article
QUANTUM TANAKA FORMULA IN TERMS OF QUANTUM BROWNIAN MOTION
YULAN ZHOU, CAISHI WANG
Bulletin of the Australian Mathematical Society, Volume 83, Issue 3

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Quantum field theory; related classical field theories (81Txx)

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Article
Quantum K theory of Grassmannians, Wilson line operators and Schur bundles
Wei Gu, Leonardo Mihalcea, Eric Sharpe, Hao Zou
Forum of Mathematics, Sigma, Volume 13

Article
The algebraic structure of Dyson–Schwinger equations with multiple insertion places
Nicholas Olson-Harris, Karen Yeats
Canadian Mathematical Communications, Volume 1

Article
Local topological order and boundary algebras
Corey Jones, Pieter Naaijkens, David Penneys, Daniel Wallick, Masaki Izumi
Forum of Mathematics, Sigma, Volume 13

Article
A bialgebra theory of Gel’fand-Dorfman algebras with applications to Lie conformal bialgebras
Yanyong Hong, Chengming Bai, Li Guo
Canadian Journal of Mathematics, First View

Article
Asymptotic behaviour of large-scale solutions of Hitchin’s equations in higher rank
Takuro Mochizuki, Szilárd Szabó
Moduli, Volume 2

Article
Large N limit of the Yang–Mills measure on compact surfaces II: Makeenko–Migdal equations and the planar master field
Antoine Dahlqvist, Thibaut Lemoine
Forum of Mathematics, Sigma, Volume 13

Article
COUPLED FREE FERMION CONFORMAL FIELD THEORY AND REPRESENTATIONS
BOLIN HAN
Bulletin of the Australian Mathematical Society, Volume 110, Issue 1

Article
A remark on Gibbs measures with log-correlated Gaussian fields
Tadahiro Oh, Kihoon Seong, Leonardo Tolomeo
Forum of Mathematics, Sigma, Volume 12

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Scattering theory (81Uxx)

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Article
ON NONUNIQUENESS FOR THE ANISOTROPIC CALDERÓN PROBLEM WITH PARTIAL DATA
THIERRY DAUDÉ, NIKY KAMRAN, FRANÇOIS NICOLEAU
Forum of Mathematics, Sigma, Volume 8

Article
Forward Scattering and Volterra Renormalization for Acoustic Wavefield Propagation in Vertically Varying Media
Jie Yao, Anne-Cécile Lesage, Fazle Hussain, Donald J. Kouri
Communications in Computational Physics, Volume 20, Issue 2

Article
AN INTEGRABLE AND EXACTLY SOLVABLE NON-HERMITIAN BCS HAMILTONIAN AND GENERALISED EXCLUSION STATISTICS
AMIR MOGHADDAM
Bulletin of the Australian Mathematical Society, Volume 92, Issue 2

Article
Massless Wigner particles in conformal field theory are free
YOH TANIMOTO
Forum of Mathematics, Sigma, Volume 2

Article
CONSTRUCTION OF TWO-DIMENSIONAL QUANTUM FIELD MODELS THROUGH LONGO–WITTEN ENDOMORPHISMS
YOH TANIMOTO
Forum of Mathematics, Sigma, Volume 2

Article
Improved local energy decay for the wave equation on asymptotically Euclidean odd dimensional manifolds in the short range case
Jean-François Bony, Dietrich Häfner
Journal of the Institute of Mathematics of Jussieu, Volume 12, Issue 3

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Applications to specific physical systems (81Vxx)

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Article
Derivation of the Gross-Pitaevskii dynamics through renormalized excitation number operators
Christian Brennecke, Wilhelm Kroschinsky
Forum of Mathematics, Sigma, Volume 13

Article
Quantum systems at the brink: existence of bound states, critical potentials, and dimensionality
Dirk Hundertmark, Michal Jex, Markus Lange
Forum of Mathematics, Sigma, Volume 11

Article
Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron
David Mitrouskas, Krzysztof Myśliwy, Robert Seiringer
Forum of Mathematics, Sigma, Volume 11

Article
On the existence of baby skyrmions stabilized by vector mesons
Carlo Greco
Proceedings of the Edinburgh Mathematical Society, Volume 66, Issue 1

Article
Bose–Einstein condensation for particles with repulsive short-range pair interactions in a Poisson random external potential in $\mathbb{R}^{d}$
Joachim Kerner, Maximilian Pechmann
Journal of Applied Probability, Volume 60, Issue 2

Article
Adiabatic theorem in the thermodynamic limit: Systems with a gap in the bulk
Joscha Henheik, Stefan Teufel
Forum of Mathematics, Sigma, Volume 10

Article
Unconditional uniqueness for the energy-critical nonlinear Schrödinger equation on $\mathbb {T}^{4}$
Xuwen Chen, Justin Holmer
Forum of Mathematics, Pi, Volume 10

Article
A new second-order upper bound for the ground state energy of dilute Bose gases
Giulia Basti, Serena Cenatiempo, Benjamin Schlein
Forum of Mathematics, Sigma, Volume 9

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MSC 2010: Quantum Theory

Quantum theory (81-XX)

Axiomatics, foundations, philosophy (81Pxx)

General mathematical topics and methods in quantum theory (81Qxx)

Groups and algebras in quantum theory (81Rxx)

General quantum mechanics and problems of quantization (81Sxx)

Quantum field theory; related classical field theories (81Txx)

Scattering theory (81Uxx)

Applications to specific physical systems (81Vxx)