The DOI matches its Crossref record; 9 of the 9 references it cites were found in a registry or an index.
Coherent states for arbitrary Lie group
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Citations
Cites
The Quantum Theory of Optical Coherence
Glauber, R. J. (1963) · Physical Review · doi:10.1103/physrev.130.2529 · Cited by 4,077
Special Functions and the Theory of Group Representations
Vilenkin, N. (1968) · Translations of Mathematical Monographs · doi:10.1090/mmono/022 · Cited by 2,072
On a Hilbert space of analytic functions and an associated integral transform part I
Bargmann, V. (1961) · Communications on Pure and Applied Mathematics · doi:10.1002/cpa.3160140303 · Cited by 1,859
Irreducible Unitary Representations of the Lorentz Group
Bargmann, V. (1947) · The Annals of Mathematics · doi:10.2307/1969129 · Cited by 1,251
Fundamentals of quantum optics
L.R. (1969) · Nuclear Physics A · doi:10.1016/0375-9474(69)90295-4 · Cited by 901
Fundamentals of Quantum Optics
Klauder, J. R., Sudarshan, E. C. G., & Miller, M. M. (1969) · Physics Today · doi:10.1063/1.3035319 · Cited by 842
Gruppentheorie und Quantenmechanik: H. Weyl S. Hirzel, Leipzig 1928 VIII+288 Seiten, RM 20
Guth, E. (1929) · Monatshefte für Mathematik und Physik · doi:10.1007/bf02307700 · Cited by 481
Gruppentheorie und Quantenmechanik
Weyl, H. (1928) · International Linear Collider · Cited by 427
Quantum mechanical commutation relations and theta functions
Cartier, P. (1966) · Proceedings of symposia in pure mathematics · doi:10.1090/pspum/009/0216825 · Cited by 96
Cited by
Coherent states: Theory and some applications
Zhang, W.-M., Feng, D. H., & Gilmore, R. (1990) · Reviews of Modern Physics · doi:10.1103/revmodphys.62.867 · Cited by 1,521
Riemannian structure on manifolds of quantum states
Provost, J. P., & Vallee, G. (1980) · Communications in Mathematical Physics · doi:10.1007/bf02193559 · Cited by 886
Ma, J., Wang, X., Sun, C. P., & Nori, F. (2011) · Physics Reports · doi:10.1016/j.physrep.2011.08.003 · Cited by 846
`Nonclassical' states in quantum optics: a `squeezed' review of the first 75 years
Dodonov, V. V. (2002) · Journal of Optics B: Quantum and Semiclassical Optics · doi:10.1088/1464-4266/4/1/201 · Cited by 830
LargeNlimits as classical mechanics
Yaffe, L. G. (1982) · Reviews of Modern Physics · doi:10.1103/revmodphys.54.407 · Cited by 465
Toward a Definition of Complexity for Quantum Field Theory States
Chapman, S., Heller, M. P., Marrochio, H., & Pastawski, F. (2018) · Physical Review Letters · doi:10.1103/physrevlett.120.121602 · Cited by 403
Multiphoton quantum optics and quantum state engineering
Dell’Anno, F., De Siena, S., & Illuminati, F. (2006) · Physics Reports · doi:10.1016/j.physrep.2006.01.004 · Cited by 310
Security of Continuous-Variable Quantum Key Distribution via a Gaussian de Finetti Reduction
Leverrier, A. (2017) · Physical Review Letters · doi:10.1103/physrevlett.118.200501 · Cited by 265
Symmetry reduction for quantized diffeomorphism-invariant theories of connections
Bojowald, M., & Kastrup, H. A. (2000) · Classical and Quantum Gravity · doi:10.1088/0264-9381/17/15/311 · Cited by 168
Geometric Canonical Phase Factors and Path Integrals
Kuratsuji, H. (1988) · Physical Review Letters · doi:10.1103/physrevlett.61.1687 · Cited by 43
Metadata
- Authors
- Perelomov, A. M.
- Venue
- Communications in Mathematical Physics
- Published
- 1972-09
- Volume
- 26
- Issue
- 3
- Pages
- 222-236
- ISSN
- 0010-3616 (ISSN-L)
- 1432-0916
- OpenAlex
- W2101546653
- Cited by
- 1,304
- References
- 9
- FWCI
- 8.97
- Type
- journal article
- Language
- en
- Open access
- green
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