Mathematical Physics By A.w Joshi Pdf Download
N. I. Akhiezer and I. M. Glazman, Theory of Linear Operators in Hilbert Spaces, Dover Publ., New York, 1963.
Google Scholar
E. M. Alfsen and F. W. Shultz, State spaces of Jordan algebras, Acta Math., 140 (1978), 155-190. doi: 10.1007/BF02392307.
Google Scholar
P. Aniello, V. I. Man'ko and G. Marmo, Frame transforms, star products and quantum mechanics on phase space, Journal of Physics A: Mathematical and Theoretical, 41 (2008), 285304, 40 pp. doi: 10.1088/1751-8113/41/28/285304.
Google Scholar
J. Arthur, Characters, harmonic analysis and an $L^2$-Lefschetz formula, In The mathematical heritage of Hermann Weyl, Proc. Sym. Pure Math., 48 1988,167-179. doi: 10.1090/pspum/048/974334.
Google Scholar
M. Asorey, A. Ibort, G. Marmo and F. Ventriglia, Quantum Tomography twenty years later, Phys. Scr., 90 (2015), 074031. doi: 10.1088/0031-8949/90/7/074031.
Google Scholar
M. Asorey, P. Facchi, V. I. Man'ko, G. Marmo, S. Pascazio and E. C. G. Sudarshan, Generalized tomographic maps and star-product formalism, Phys. Scr., 90 (2015), 065101. doi: 10.1088/0031-8949/90/6/065101.
Google Scholar
J. Bertrand and P. Bertrand, A tomographic approach to Wigner's function, Foundations of Physics, 17 (1987), 397-405. doi: 10.1007/BF00733376.
Google Scholar
A. del Campo, V. I. Man'ko and G. Marmo, Symplectic tomography of ultracold gases in tight waveguides, Phys. Rev. A., 78 (2008), 025602. doi: 10.1103/PhysRevA.78.025602.
Google Scholar
G. Cassinelli, G. M. D'Ariano, E. De Vito and A. Levrero, Group theoretical quantum tomography, Journal of Mathematical Physics, 41 (2000), 7940-7951. doi: 10.1063/1.1323497.
Google Scholar
F. M. Ciaglia, F. Di Cosmo, A. Ibort and G. Marmo, Dynamical aspects in the quantizer-dequantizer formalism, Annals of Physics, 385 (2017), 769-781. doi: 10.1016/j.aop.2017.08.025.
Google Scholar
K. Banaszek, G. M. D'Ariano, P. Kumar and M. F. Sacchi, Maximum-likelihood estimation of the density matrix, Phys. Rev., A61 (1999), 010304(R). doi: 10.1103/PhysRevA.61.010304.
Google Scholar
G. M. D'Ariano, Universal quantum estimation, Phys. Lett., A268 (2000), 151-157. doi: 10.1016/S0375-9601(00)00164-X.
Google Scholar
G. M. D'Ariano, M. G. A. Paris and M. F. Sacchi, Quantum tomography, Advances in Imaging and Electron Physics, 128 (2003), 205-308. arXiv: quant-ph/0302028. doi: 10.1016/S1076-5670(03)80065-4.
Google Scholar
G. M. D'Ariano, L. Maccone and M. Paini, Spin tomography, J. Opt. B: Qiuantum Semiclass. Opt., 5 (2003), 77-84. doi: 10.1088/1464-4266/5/1/311.
Google Scholar
I. Daubechies, Ten Lectures on Wavelets, SIAM, 1992. doi: 10.1137/1.9781611970104.
Google Scholar
E. B. Davies, Spectral Theory and Differential Operators, Cambridge Univ. Press, Cambridge, U.K. 1995. doi: 10.1017/CBO9780511623721.
Google Scholar
Google Scholar J. Diximier, $C^*$-Algebras, North Holand Publ. Co., Amsterdam-New York-Oxford, 1977.
Google Scholar
M. Duflo and C. C. Moore, On the regular representation of a nonunimodular locally compact group, J. Funct. Anal., 21 (1976), 209-243. doi: 10.1016/0022-1236(76)90079-3.
Google Scholar
E. Ercolessi, G. Marmo, G. Morandi and N. Mukunda, Wigner distributions in Quantum Mechanics, J. Phys.: Conf. Ser., 87 (2007), 012010. doi: 10.1088/1742-6596/87/1/012010.
Google Scholar
G. Esposito, G. Marmo and G. Sudarshan, From Classical to Quantum Mechanics, Cambridge Univ. Press, Cambridge 2004. doi: 10.1017/CBO9780511610929.
Google Scholar
P. Facchi and M. Ligabò, Classical and quantum aspects of tomography, AIP Conference Proceedings., 1260 (2010), 3-34.
Google Scholar
F. Falceto, L. Ferro, A. Ibort and G. Marmo, Reduction of Lie-Jordan Banach algebras and quantum states, J. Phys. A: Math. Theor., 46 (2013), 015201, 14 pp. doi: 10.1088/1751-8113/46/1/015201.
Google Scholar
H.R. Fernández-Morales, A.G. García, M.A. Hernández-Medina and M.J. Muñoz-Bouzo, On Some Sampling-Related Frames in $U$-Invariant Spaces, Abstract and Applied Analysis (2013), 761620, 14 pp. doi: 10.1155/2013/761620.
Google Scholar
M. Frank and D. R. Larson, Frames in Hilbert $C^*$-modules and $C^*$-algebras, J. Operator Theory, 48 (2002), 273-314.
Google Scholar
A. Galindo and P. Pascual, Quantum Mechanics I, Springer-Verlag. Berlin 1990. doi: 10.1007/978-3-642-83854-5.
Google Scholar
A. G. García, A brief walk through sampling theory, Advances in Imaging and Electron Physics, 124 (2002), 63-137. doi: 10.1016/S1076-5670(02)80042-8.
Google Scholar
A. G. García, M. A. Hernández-Medina and G. Pérez-Villalón, Generalized sampling in shift-invariant spaces with multiple stable generators, Journal of Mathematical Analysis and Applications, 337 (2008), 69-84. doi: 10.1016/j.jmaa.2007.03.083.
Google Scholar
A. G. García, M. A. Hernández-Medina and A. Ibort, Towards a quantum sampling theory: the case of finite groups, In: Marmo G., Martín de Diego D., Muñoz Lecanda M. (eds) Classical and Quantum Physics. Springer Proceedings in Physics, vol 229 . Springer, Cham., (2019) 203-223. arXiv:1510.08134 [math-ph]. doi: 10.1007/978-3-030-24748-5_11.
Google Scholar
I. Gel'fand and M. Naimark, On the embedding of normed rings into the ring of operators in Hilbert space, Rec. Math. [Mat. Sbornik] N.S., 12 (1943), 197-217.
Google Scholar
A. Gleason, Measures on the closed subspaces of a Hilbert space, Indiana Univ. Math. J., 6 (1957), 885-893. doi: 10.1512/iumj.1957.6.56050.
Google Scholar
R. Haag, Local Quantum Physics: Fields, Particles, Algebras, Springer-Verlag. Berlin, 1996. doi: 10.1007/978-3-642-61458-3.
Google Scholar
A. Ibort, V. I. Man'ko, G. Marmo, A. Simoni and F. Ventriglia, An introduction to the tomographic picture of quantum mechanics, Phys. Scr., 79 (2009), 065013. doi: 10.1088/0031-8949/79/06/065013.
Google Scholar
A. Ibort, V. I. Man'ko, G. Marmo, A. Simoni, F. Ventrigilia, A generalized Wigner function on the space of irreducible representations of the Weyl-Heisenberg group and its transformation properties, J. Phys. A: Math. Theor., 42 (2009), 155302, 12 pp. doi: 10.1088/1751-8113/42/15/155302.
Google Scholar
A. Ibort, V. I. Man'ko, G. Marmo, A. Simoni and F. Ventriglia, On the tomographic picture of quantum mechanics, Phys. Let. A., 374 (2010), 2614-2617. doi: 10.1016/j.physleta.2010.04.056.
Google Scholar
A. Ibort, V. I. Man'ko, G. Marmo, A. Simoni and F. Ventriglia, Pedagogical presentation of a $C^*$-algebraic approach to quantum tomography, Phys. Scr., 84 (2011), 065006. doi: 10.1088/0031-8949/84/06/065006.
Google Scholar
A. Ibort, A. López Yela and J. Moro, A new algorithm for computing branching rules and Clebsch-Gordan coefficients of unitary representations of compact groups, J. of Math. Phys., 58 (2017), 101702, 21 pp. doi: 10.1063/1.5004259.
Google Scholar
J. M. Jauch, Foundations of Quantum Mechanics, Reading, Mass.-London-Don Mills, Ont. 1968.
Google Scholar
A. W. Joshi, Elements of Group Theory for Physicists, Third edition. A Halsted Press Book. John Wiley & Sons, Inc., New York, 1982
Google Scholar
R. V. Kadison, A representation theory for commutative topological algebras, Mem. Amer. Math. Soc., 7 (1951), 39 pp.
Google Scholar
G. Kaiser, A Friendly Guide to Wavelets, Birkhäuser Boston, Inc., Boston, MA, 1994.
Google Scholar
A. López-Yela, On the Tomographic Description of Quantum Systems: Theory and Applications, Ph.D. Thesis. Universidad Carlos III de Madrid (2015). http://hdl.handle.net/10016/22629 Google Scholar
V. I. Man'ko and O. V. Man'ko, Spin state tomography, J. of Experimental and Theoretical Physics, 85 (1997), 430-434. doi: 10.1134/1.558326.
Google Scholar
O. V. Man'ko, V. I. Man'ko and G. Marmo, Alternative commutation relations, star products and tomography, Journal of Physics A: Mathematical and General, 35 (2002), 699-719. doi: 10.1088/0305-4470/35/3/315.
Google Scholar
V. I. Man'ko, G. Marmo, A. Simoni, A. Stern and E. C. G. Sudarshan, On the meaning and interpretation of tomography in abstract Hilbert spaces, Phys. Lett. A, 351 (2006) 1-12. doi: 10.1016/j.physleta.2005.10.063.
Google Scholar
M. A. Na${{\rm{\mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\smile$}} \over i} }}}$mark, Normed Rings, P. Noordhoff N. V., Groningen 1964.
Google Scholar
F. Natterer, The Mathematics of Computerized Tomography, B. G. Teubner, Stuttgart; John Wiley & Sons, Ltd., Chichester, 1986.
Google Scholar
J. v. Neumann, Zur Algebra der Funktionaloperationen und Theorie der normalen Operatoren, Math. Ann., 102 (1930), 370-427. doi: 10.1007/BF01782352.
Google Scholar
D.-G. Welsch, T. Opatrny and W. Vogel, II Homodyne Detection and Quantum-State Reconstruction, Prog. Opt., vol. 39 (1999), 63-211. doi: 10.1016/S0079-6638(08)70389-5.
Google Scholar
Google Scholar J. Radon, Über die Bestimmung von Funktionen durch ihre Integralwerte längs gewisser Mannigfaltigkeiten, Proc. Sympos. Appl. Math., 27, Amer. Math. Soc., Providence, R.I., 1982. doi: 10.1090/psapm/027/692055.
Google Scholar
M. Reed and B. Simon, Methods of modern mathematical physics. Vol. 1: Functional analysis, revised and enlarged edition., Academic Press., USA 1980. Google Scholar
I. E. Segal, Irreducible representations of operator algebras, Bull. Am. Math. Soc., 53 (1947), 73-88. doi: 10.1090/S0002-9904-1947-08742-5.
Google Scholar
D. T. Smithey, M. Beck, M. G. Raymer and A. Faridani, Measurement of the Wigner distribution and the density matrix of a light mode using optical homodyne tomography: Application to squeezed states and the vacuum, Physical Review Letters, 70 (1993), 1244. doi: 10.1103/PhysRevLett.70.1244.
Google Scholar
M. H. Stone, On one-parameter unitary groups in Hilbert Space, Ann. Math., 33 (1932), 643-648. doi: 10.2307/1968538.
Google Scholar
K. Vogel and H. Risken, Determination of quasiprobability distributions in terms of probability distributions for the rotated quadrature phase, Physical Review A, 40 (1989), 2847. doi: 10.1103/PhysRevA.40.2847.
Google Scholar
E. Wigner, On the Quantum Correction for Thermodinamic Equilibrium, Phys. Rev., 40 (1932), 749-759. doi: 10.1103/PhysRev.40.749.
Google Scholar
Mathematical Physics By A.w Joshi Pdf Download
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