Fetching the paper…
Reading the bibliography…
Symmetries impose structure on the Hilbert space of a quantum mechanical model.
E. Wigner, “On Unitary Representations of the Inhomogeneous Lorentz Group,” Annals of Mathematics 40
1939
Earlier work this paper cites.
George Allen Baker, “Degeneracy of the n-Dimensional, Isotropic, Harmonic Oscillator,” Phys. Rev. 103
1956
Earlier work this paper cites.
Eugene Paul Wigner, Group theory and its application to the quantum mechanics of atomic spectra (Academic Press, New York, 1959)
1959
Earlier work this paper cites.
Rodney Loudon, “One-Dimensional Hydrogen Atom,” American Journal of Physics 27
1959
Earlier work this paper cites.
M. Girardeau, “Relationship between Systems of Impenetrable Bosons and Fermions in One Dimension,” Journal of Mathematical Physics 1
1960
Earlier work this paper cites.
Elliott H. Lieb and Werner Liniger, “Exact Analysis of an Interacting Bose Gas. I. The General Solution and the Ground State,” Phys. Rev. 130
1963
Earlier work this paper cites.
R. F. Streater and A. S. Wightman, PCT, spin and statistics, and all that , The mathematical physics monograph series (W.A. Benjamin, New York, 1964)
1964
Earlier work this paper cites.
James D. Louck, “Group Theory of Harmonic Oscillators in n-Dimensional Space,” Journal of Mathematical Physics 6
1965
Earlier work this paper cites.
Jean-Marc Lévy-Leblond, “Nonrelativistic particles and wave equations,” Commun.Math. Phys. 6
1967
Earlier work this paper cites.
C. N. Yang, “Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction,” Phys. Rev. Lett. 19
1967
Earlier work this paper cites.
Roman Jackiw, “Introducing scale symmetry,” Physics Today 25
1972
Earlier work this paper cites.
Brian G. Wybourne, Classical groups for physicists (Wiley, New York, 1974)
1974
Earlier work this paper cites.
G. B. Shaw, “Degeneracy in the particle-in-a-box problem,” J. Phys. A: Math. Nucl. Gen. 7
1974
Earlier work this paper cites.
J. M. Leinaas and J. Myrheim, “On the theory of identical particles,” Nuovo Cim B 37
1977
Earlier work this paper cites.
Frank Wilczek, “Quantum Mechanics of Fractional-Spin Particles,” Phys. Rev. Lett. 49
1982
Earlier work this paper cites.
O. Bohigas, M. J. Giannoni, and C. Schmit, “Characterization of Chaotic Quantum Spectra and Universality of Level Fluctuation Laws,” Phys. Rev. Lett. 52
1984
Earlier work this paper cites.
Arno Bohm and Manuel Gadella, Dirac Kets, Gamow Vectors and Gel’fand Triplets , Lecture Notes in Physics No. 348 (Springer-Verlag Berlin Heidelberg, 1989)
1989
Earlier work this paper cites.
Martin C. Gutzwiller, Chaos in Classical and Quantum Mechanics , Interdisciplinary Applied Mathematics No. 1 (Springer-Verlag New York, 1990)
1990
Earlier work this paper cites.
Rudolf Haag, Local quantum physics: fields, particles, algebras , Texts and monographs in physics (Springer-Verlag, Berlin ; New York, 1992)
1992
Cited alongside, same era.
Michael Reck, Anton Zeilinger, Herbert J. Bernstein, and Philip Bertani, “Experimental realization of any discrete unitary operator,” Phys. Rev. Lett. 73
1994
Cited alongside, same era.
Steven Weinberg, The Quantum Theory of Fields , 1st ed. (Cambridge University Press, Cambridge ; New York, 1995)
1995
Cited alongside, same era.
Fred Cooper, Avinash Khare, and Uday Sukhatme, “Supersymmetry and quantum mechanics,” Physics Reports 251
1995
Cited alongside, same era.
F. Leyvraz, A. Frank, R. Lemus, and M. V. Andrés, “Accidental degeneracy in a simple quantum system: A new symmetry group for a particle in an impenetrable square-well potential,” American Journal of Physics 65
1997
Jean-Sébastien Caux and Jorn Mossel, “Remarks on the notion of quantum integrability,” J. Stat. Mech. 2011
2011
Later among the works it cites.
G. Zürn, F. Serwane, T. Lompe, A. N. Wenz, M. G. Ries, J. E. Bohn, and S. Jochim, “Fermionization of Two Distinguishable Fermions,” Phys. Rev. Lett. 108
2012
Later among the works it cites.
Sarah Post, Satoshi Tsujimoto, and Luc Vinet, “Families of superintegrable Hamiltonians constructed from exceptional polynomials,” Journal of Physics A: Mathematical and Theoretical 45
2012
Later among the works it cites.
G. Zürn, A. N. Wenz, S. Murmann, A. Bergschneider, T. Lompe, and S. Jochim, “Pairing in Few-Fermion Systems with Attractive Interactions,” Phys. Rev. Lett. 111
2013
Later among the works it cites.
A. N. Wenz, G. Zürn, S. Murmann, I. Brouzos, T. Lompe, and S. Jochim, “From Few to Many: Observing the Formation of a Fermi Sea One Atom at a Time,” Science 342
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
A. Bohm and N. L. Harshman, “Quantum theory in the rigged Hilbert space — Irreversibility from causality,” in Irreversibility and Causality Semigroups and Rigged Hilbert Spaces , Lecture Notes in Physics (Springer, Berlin, Heidelberg, 1998) pp. 179–237
1998
Cited alongside, same era.
Diptiman Sen, “Perturbation theory for singular potentials in quantum mechanics,” Int. J. Mod. Phys. A 14
1999
Cited alongside, same era.
Paolo Zanardi, “Virtual Quantum Subsystems,” Phys. Rev. Lett. 87
2001
Cited alongside, same era.
Grigori Olshanski, “The problem of harmonic analysis on the infinite-dimensional unitary group,” Journal of Functional Analysis 205
2003
Cited alongside, same era.
Paolo Zanardi and Seth Lloyd, “Universal control of quantum subspaces and subsystems,” Phys. Rev. A 69
2004
Cited alongside, same era.
Paolo Zanardi, Daniel A. Lidar, and Seth Lloyd, “Quantum Tensor Product Structures are Observable Induced,” Phys. Rev. Lett. 92
2004
Cited alongside, same era.
Bill Sutherland, Beautiful Models: 70 Years of Exactly Solved Quantum Many-Body Problems , first edition edition ed. (World Scientific Publishing Company, River Edge, N.J, 2004)
2004
Cited alongside, same era.
2013
Later among the works it cites.
Jasmina Jeknić-Dugić, Momir Arsenijević, and Miroljub Dugić, Quantum Structures: A View of the Quantum World (LAP Lambert Academic Publishing, 2013)
2013
Later among the works it cites.
2013
Later among the works it cites.
Xi-Wen Guan, Murray T. Batchelor, and Chaohong Lee, “Fermi gases in one dimension: From Bethe ansatz to experiments,” Rev. Mod. Phys. 85
2013
Later among the works it cites.
F. Benatti, R. Floreanini, and K. Titimbo, “Entanglement of Identical Particles,” Open Syst. Inf. Dyn. 21
2014
Later among the works it cites.
N. L. Harshman, “Spectroscopy for a few atoms harmonically trapped in one dimension,” Phys. Rev. A 89
2014
Later among the works it cites.
Frank Wilczek, A Beautiful Question: Finding Nature’s Deep Design (Penguin Press, New York, 2015)
2015
Later among the works it cites.
Olimpia Lombardi and Sebastian Fortin, “The role of symmetry in the interpretation of quantum mechanics,” EJTP 12
2015
Later among the works it cites.
N. L. Harshman, “Symmetry and Natural Quantum Structures for Three-Particles in One-Dimension,” in Quantum Structural Studies (World Scientific, Singapore, 2016) pp. 373–400
2016
Later among the works it cites.
Sebastian Fortin and Olimpia Lombardi, “A Top-down View of the Classical Limit of Quantum Mechanics,” in Quantum Structural Studies (World Scientific, Singapore, 2016) pp. 435–468
2016
Later among the works it cites.
Denis Ullmo, “Bohigas-Giannoni-Schmit conjecture,” Scholarpedia 11
2016
Later among the works it cites.
Molte Emil Strange Andersen, N. L. Harshman, and Nikolaj Thomas Zinner, “Hybrid model of separable, zero-range, few-body interactions in one-dimensional harmonic traps,” Phys. Rev. A 96
2017
Later among the works it cites.
Ignacio S. Gomez, Marcelo Losada, and Olimpia Lombardi, “About the Concept of Quantum Chaos,” Entropy 19
2017
Later among the works it cites.
N. L. Harshman, Maxim Olshanii, A. S. Dehkharghani, A. G. Volosniev, Steven Glenn Jackson, and N. T. Zinner, “Integrable Families of Hard-Core Particles with Unequal Masses in a One-Dimensional Harmonic Trap,” Phys. Rev. X 7
2017
Later among the works it cites.