Alpay, Daniel; Jorgensen, Palle; Porat, Motke White noise space analysis and multiplicative change of measures. (English) Zbl 07665633 J. Math. Phys. 63, No. 4, Article ID 042102, 23 p. (2022). MSC: 60G15 60H40 28C20 46E22 60H05 PDF BibTeX XML Cite \textit{D. Alpay} et al., J. Math. Phys. 63, No. 4, Article ID 042102, 23 p. (2022; Zbl 07665633) Full Text: DOI arXiv OpenURL
Zafiris, Elias The equiareal Archimedean synchronization method of the quantum symplectic phase space: II. Circle-valued moment map, integrality, and symplectic abelian shadows. (English) Zbl 07507698 Found. Phys. 52, No. 2, Paper No. 43, 32 p. (2022). MSC: 81Pxx 81Sxx 14-XX PDF BibTeX XML Cite \textit{E. Zafiris}, Found. Phys. 52, No. 2, Paper No. 43, 32 p. (2022; Zbl 07507698) Full Text: DOI OpenURL
Sbisà, Fulvio The divergence of Van Hove’s model and its consequences. (English) Zbl 1483.81095 Found. Phys. 51, No. 6, Paper No. 110, 23 p. (2021). MSC: 81T05 81-02 47-02 47A40 81P05 PDF BibTeX XML Cite \textit{F. Sbisà}, Found. Phys. 51, No. 6, Paper No. 110, 23 p. (2021; Zbl 1483.81095) Full Text: DOI arXiv OpenURL
Hudson, Robin A short walk in quantum probability. (English) Zbl 1470.81011 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 376, No. 2118, Article ID 20170226, 13 p. (2018). MSC: 81P05 60F05 81Q35 PDF BibTeX XML Cite \textit{R. Hudson}, Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 376, No. 2118, Article ID 20170226, 13 p. (2018; Zbl 1470.81011) Full Text: DOI OpenURL
Folland, G. B. Some topics in the history of harmonic analysis in the twentieth century. (English) Zbl 1391.42002 Indian J. Pure Appl. Math. 48, No. 1, 1-58 (2017). Reviewer: Radoslav M. Dimitrić (New York) MSC: 42-03 43-03 01A60 PDF BibTeX XML Cite \textit{G. B. Folland}, Indian J. Pure Appl. Math. 48, No. 1, 1--58 (2017; Zbl 1391.42002) Full Text: DOI OpenURL
Albeverio, Sergio; Sengupta, Ambar N. Complex phase space and Weyl’s commutation relations. (English) Zbl 1343.22009 Expo. Math. 34, No. 3, 249-286 (2016). MSC: 22E70 81S10 PDF BibTeX XML Cite \textit{S. Albeverio} and \textit{A. N. Sengupta}, Expo. Math. 34, No. 3, 249--286 (2016; Zbl 1343.22009) Full Text: DOI OpenURL
Moore, Calvin C. Ergodic theorem, ergodic theory, and statistical mechanics. (English) Zbl 1355.37001 Proc. Natl. Acad. Sci. USA 112, No. 7, 1907-1911 (2015). MSC: 37-03 01A60 37A30 37A60 82B05 82C05 PDF BibTeX XML Cite \textit{C. C. Moore}, Proc. Natl. Acad. Sci. USA 112, No. 7, 1907--1911 (2015; Zbl 1355.37001) Full Text: DOI Link OpenURL
Strocchi, Franco; Heissenberg, Carlo Gauge invariance and symmetry breaking by topology and energy gap. (English) Zbl 1330.81229 Mathematics 3, No. 4, 984-1000 (2015). MSC: 81V25 81T70 81R40 81R05 PDF BibTeX XML Cite \textit{F. Strocchi} and \textit{C. Heissenberg}, Mathematics 3, No. 4, 984--1000 (2015; Zbl 1330.81229) Full Text: DOI arXiv OpenURL
Lempert, László; Szoke, Róbert Direct images, fields of Hilbert spaces, and geometric quantization. (English) Zbl 1291.53090 Commun. Math. Phys. 327, No. 1, 49-99 (2014). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 53D50 81S10 PDF BibTeX XML Cite \textit{L. Lempert} and \textit{R. Szoke}, Commun. Math. Phys. 327, No. 1, 49--99 (2014; Zbl 1291.53090) Full Text: DOI arXiv OpenURL
de Gosson, Maurice A.; Hiley, Basil J. Imprints of the quantum world in classical mechanics. (English) Zbl 1235.81094 Found. Phys. 41, No. 9, 1415-1436 (2011). MSC: 81S10 53D50 PDF BibTeX XML Cite \textit{M. A. de Gosson} and \textit{B. J. Hiley}, Found. Phys. 41, No. 9, 1415--1436 (2011; Zbl 1235.81094) Full Text: DOI arXiv OpenURL
Prasad, Amritanshu An easy proof of the Stone-von Neumann-Mackey theorem. (English) Zbl 1227.43009 Expo. Math. 29, No. 1, 110-118 (2011). Reviewer: Madathum K. Viswanath (Chennai) MSC: 43A70 22D25 PDF BibTeX XML Cite \textit{A. Prasad}, Expo. Math. 29, No. 1, 110--118 (2011; Zbl 1227.43009) Full Text: DOI arXiv OpenURL
Recami, Erasmo; Olkhovsky, Vladislav S.; Maydanyuk, Sergei P. On non-self-adjoint operators for observables in quantum mechanics and quantum field theory. (English) Zbl 1193.81048 Int. J. Mod. Phys. A 25, No. 9, 1785-1818 (2010). MSC: 81R12 81Q05 70H40 81S05 81S22 81U99 PDF BibTeX XML Cite \textit{E. Recami} et al., Int. J. Mod. Phys. A 25, No. 9, 1785--1818 (2010; Zbl 1193.81048) Full Text: DOI arXiv OpenURL
Olkhovsky, V. S. Time as a quantum observable, canonically conjugated to energy, and foundations of self-consistent time analysis of quantum processes. (English) Zbl 1201.81057 Adv. Math. Phys. 2009, Article ID 859710, 83 p. (2009). MSC: 81Q12 81Q05 81V10 81P05 PDF BibTeX XML Cite \textit{V. S. Olkhovsky}, Adv. Math. Phys. 2009, Article ID 859710, 83 p. (2009; Zbl 1201.81057) Full Text: DOI EuDML OpenURL
Werpachowski, Roman On the approximation of real powers of sparse, infinite, bounded and Hermitian matrices. (English) Zbl 1156.65040 Linear Algebra Appl. 428, No. 1, 316-323 (2008). Reviewer: Juan Rafael Sendra (Alcalá de Henares) MSC: 65F30 81T25 65F50 PDF BibTeX XML Cite \textit{R. Werpachowski}, Linear Algebra Appl. 428, No. 1, 316--323 (2008; Zbl 1156.65040) Full Text: DOI arXiv OpenURL
Scholz, Erhard Introducing groups into quantum theory (1926–1930). (English) Zbl 1130.01011 Hist. Math. 33, No. 4, 440-490 (2006). Reviewer: Doru Ştefănescu (Bucureşti) MSC: 01A60 20-03 81-03 20C35 PDF BibTeX XML Cite \textit{E. Scholz}, Hist. Math. 33, No. 4, 440--490 (2006; Zbl 1130.01011) Full Text: DOI arXiv OpenURL
Howe, Roger Nice error bases, mutually unbiased bases, induced representations, the Heisenberg group and finite geometries. (English) Zbl 1106.43003 Indag. Math., New Ser. 16, No. 3-4, 553-583 (2005). Reviewer: Gert Roepstorff (Aachen) MSC: 43A65 20H20 20C99 81P68 PDF BibTeX XML Cite \textit{R. Howe}, Indag. Math., New Ser. 16, No. 3--4, 553--583 (2005; Zbl 1106.43003) Full Text: DOI OpenURL
Digernes, Trond; Varadarajan, V. S. Models for the irreducible representation of a Heisenberg group. (English) Zbl 1077.81054 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 7, No. 4, 527-546 (2004). MSC: 81R99 20K10 20K35 PDF BibTeX XML Cite \textit{T. Digernes} and \textit{V. S. Varadarajan}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 7, No. 4, 527--546 (2004; Zbl 1077.81054) Full Text: DOI arXiv OpenURL
Calixto, M.; Aldaya, V.; Navarro, M. Quantum field theory in a symmetric curved space from a second quantization on a group. (English) Zbl 1014.81043 Int. J. Mod. Phys. A 15, No. 25, 4011-4044 (2000). Reviewer: Valter Moretti (Povo) MSC: 81T20 81S05 22E70 83C47 PDF BibTeX XML Cite \textit{M. Calixto} et al., Int. J. Mod. Phys. A 15, No. 25, 4011--4044 (2000; Zbl 1014.81043) Full Text: DOI arXiv OpenURL
Woronowicz, S. L. Quantum exponential function. (English) Zbl 0961.47013 Rev. Math. Phys. 12, No. 6, 873-920 (2000). MSC: 47B25 81R50 47N50 PDF BibTeX XML Cite \textit{S. L. Woronowicz}, Rev. Math. Phys. 12, No. 6, 873--920 (2000; Zbl 0961.47013) Full Text: DOI OpenURL
Sontz, Stephen Bruce Entropy and the Segal-Bargmann transform. (English) Zbl 1001.81043 J. Math. Phys. 39, No. 4, 2402-2117 (1998). MSC: 81S30 46N50 82B10 47N50 PDF BibTeX XML Cite \textit{S. B. Sontz}, J. Math. Phys. 39, No. 4, 2402--2117 (1998; Zbl 1001.81043) Full Text: DOI OpenURL
Jorjadze, G. Constrained quantization on symplectic manifolds and quantum distribution functions. (English) Zbl 0878.58034 J. Math. Phys. 38, No. 6, 2851-2879 (1997). MSC: 53D50 81S10 37J99 PDF BibTeX XML Cite \textit{G. Jorjadze}, J. Math. Phys. 38, No. 6, 2851--2879 (1997; Zbl 0878.58034) Full Text: DOI arXiv OpenURL
Primas, Hans Time-asymmetric phenomena in biology: Complementary exophysical descriptions arising from deterministic quantum endophysics. (English) Zbl 0925.92010 Open Syst. Inf. Dyn. 1, No. 1, 3-34 (1992). MSC: 92B05 81P05 PDF BibTeX XML Cite \textit{H. Primas}, Open Syst. Inf. Dyn. 1, No. 1, 3--34 (1992; Zbl 0925.92010) Full Text: DOI OpenURL
Papaloucas, L. C.; Rembieliński, J.; Tybor, W. Vectorlike coherent states with noncompact stability group. (English) Zbl 0694.22018 J. Math. Phys. 30, No. 10, 2406-2410 (1989). MSC: 22E70 81R30 46N99 81R10 81S10 PDF BibTeX XML Cite \textit{L. C. Papaloucas} et al., J. Math. Phys. 30, No. 10, 2406--2410 (1989; Zbl 0694.22018) Full Text: DOI OpenURL
Rustamov, K. A. Dynamical algebra of invariants of integro-differential equations of quantum theory. (English) Zbl 0633.45011 Int. J. Theor. Phys. 26, 307-309 (1987). MSC: 45K05 81Q99 PDF BibTeX XML Cite \textit{K. A. Rustamov}, Int. J. Theor. Phys. 26, 307--309 (1987; Zbl 0633.45011) Full Text: DOI OpenURL
Proskurin, N. V. Expansion of automorphic functions. (English) Zbl 0538.10022 J. Sov. Math. 26, 1908-1921 (1984). MSC: 11F03 43A85 11F70 22E30 PDF BibTeX XML Cite \textit{N. V. Proskurin}, J. Sov. Math. 26, 1908--1921 (1984; Zbl 0538.10022) Full Text: DOI OpenURL
Nakamura, Masahiro; Umegaki, Hisaharu Heisenberg’s commutation relation and the Plancherel theorem. (English) Zbl 0101.09404 Proc. Japan Acad. 37, 239-242 (1961). PDF BibTeX XML Cite \textit{M. Nakamura} and \textit{H. Umegaki}, Proc. Japan Acad. 37, 239--242 (1961; Zbl 0101.09404) Full Text: DOI OpenURL
Phillips, R. S. Semi-groups of operators. (English) Zbl 0064.11201 Bull. Am. Math. Soc. 61, 16-33 (1955). PDF BibTeX XML Cite \textit{R. S. Phillips}, Bull. Am. Math. Soc. 61, 16--33 (1955; Zbl 0064.11201) Full Text: DOI OpenURL
von Neumann, J.; Schoenberg, I. J. Fourier integrals and metric geometry. (English) JFM 67.0692.01 Trans. Amer. math. Soc. 50, 226-251 (1941). Reviewer: Doetsch, G., Prof. (Freiburg im Breisgau) PDF BibTeX XML Cite \textit{J. von Neumann} and \textit{I. J. Schoenberg}, Trans. Am. Math. Soc. 50, 226--251 (1941; JFM 67.0692.01) Full Text: DOI OpenURL
von Sz. Nagy, Béla Über messbare Darstellungen Liescher Gruppen. (German) Zbl 0013.05602 Math. Ann. 112, 286-296 (1936). PDF BibTeX XML Cite \textit{B. von Sz. Nagy}, Math. Ann. 112, 286--296 (1936; Zbl 0013.05602) Full Text: DOI EuDML OpenURL
v. Sz. Nagy, B. Über meßbare Darstellungen Liescher Gruppen. (German) JFM 62.0442.01 Math. Ann. 112, 286-296 (1936). Reviewer: Schröder, K., Dr. (Berlin) PDF BibTeX XML Cite \textit{B. v. Sz. Nagy}, Math. Ann. 112, 286--296 (1936; JFM 62.0442.01) Full Text: DOI EuDML OpenURL