Parthasarathy, K. R. [Krishna, M.] Mathematical foundations of quantum mechanics. Revised with the assistance of M. Krishna. Reprint of the 2005 hardback edition. (English) Zbl 1464.81003 Texts and Readings in Mathematics 35. New Delhi: Hindustan Book Agency (ISBN 978-93-80250-12-0/pbk; 978-93-86279-28-6/ebook). iv, 169 p. (2011). MSC: 81-01 46N50 47N50 81P05 81Q10 22E70 20C25 PDFBibTeX XMLCite \textit{K. R. Parthasarathy}, Mathematical foundations of quantum mechanics. Revised with the assistance of M. Krishna. Reprint of the 2005 hardback edition. New Delhi: Hindustan Book Agency (2011; Zbl 1464.81003) Full Text: DOI
Parthasarathy, K. R. What is a Gaussian state? (English) Zbl 1331.81169 Commun. Stoch. Anal. 4, No. 2, 143-160 (2010). MSC: 81S25 46L53 47N50 60B15 81S05 PDFBibTeX XMLCite \textit{K. R. Parthasarathy}, Commun. Stoch. Anal. 4, No. 2, 143--160 (2010; Zbl 1331.81169)
Parthasarathy, K. R. [Krishna, M.] Mathematical foundations of quantum mechanics. Revised with the assistance of M. Krishna. (English) Zbl 1122.81002 Texts and Readings in Mathematics 35. New Delhi: Hindustan Book Agency (ISBN 81-85931-59-3/hbk). viii, 170 p. (2005). Reviewer: K.-E. Hellwig (Berlin) MSC: 81-01 46N50 47N50 81P05 81Q10 22E70 20C25 PDFBibTeX XMLCite \textit{K. R. Parthasarathy}, Mathematical foundations of quantum mechanics. Revised with the assistance of M. Krishna. New Delhi: Hindustan Book Agency (2005; Zbl 1122.81002)
Parthasarathy, K. R. On estimating the state of a finite level quantum system. (English) Zbl 1077.47060 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 7, No. 4, 607-617 (2004). MSC: 47N50 81P68 47L90 PDFBibTeX XMLCite \textit{K. R. Parthasarathy}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 7, No. 4, 607--617 (2004; Zbl 1077.47060) Full Text: DOI arXiv
Parthasarathy, K. R. A remark on the unitary group of a tensor product of \(n\) finite-dimensional Hilbert spaces. (English) Zbl 1025.47047 Proc. Indian Acad. Sci., Math. Sci. 113, No. 1, 3-13 (2003). MSC: 47N50 81P68 46M05 PDFBibTeX XMLCite \textit{K. R. Parthasarathy}, Proc. Indian Acad. Sci., Math. Sci. 113, No. 1, 3--13 (2003; Zbl 1025.47047) Full Text: DOI
Bhatia, Rajendra; Parthasarathy, K. R. Positive definite functions and operator inequalities. (English) Zbl 1037.15021 Bull. Lond. Math. Soc. 32, No. 2, 214-228 (2000). Reviewer: Leonid Golinskii (Kharkov) MSC: 15A60 15A45 42A82 47A30 47A63 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{K. R. Parthasarathy}, Bull. Lond. Math. Soc. 32, No. 2, 214--228 (2000; Zbl 1037.15021) Full Text: DOI
Parthasarathy, K. R. Extremal decision rules in quantum hypothesis testing. (English) Zbl 1043.81512 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 2, No. 4, 557-568 (1999). MSC: 81P15 47L07 47N50 62C99 PDFBibTeX XMLCite \textit{K. R. Parthasarathy}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 2, No. 4, 557--568 (1999; Zbl 1043.81512) Full Text: DOI
Parthasarathy, K. R.; Sinha, K. B. Quantum Markov processes with a Christensen-Evans generator in a von Neumann algebra. (English) Zbl 0999.46033 Bull. Lond. Math. Soc. 31, No. 5, 616-626 (1999). Reviewer: K.R.Parthasarathy (New Delhi) MSC: 46L65 81S25 47L30 60J99 46L10 46L55 PDFBibTeX XML Full Text: DOI
Lindsay, J. Martin; Parthasarathy, K. R. Positivity and contractivity of quantum stochastic flows. (English) Zbl 0919.60092 Davies, I. M. (ed.) et al., Stochastic analysis and applications. Proceedings of the 5th Gregynog symposium, Gregynog, Powys, GB, July 9-14, 1995. Singapore: World Scientific. 315-329 (1996). Reviewer: Piotr Garbaczewski (Zielona Gora) MSC: 60K40 81S25 60H10 47D07 PDFBibTeX XMLCite \textit{J. M. Lindsay} and \textit{K. R. Parthasarathy}, in: Stochastic analysis and applications. Proceedings of the 5th Gregynog symposium, Gregynog, Powys, GB, July 9-14, 1995. Singapore: World Scientific. 315--329 (1996; Zbl 0919.60092)
Parthasarathy, K. R. One parameter semigroups of completely positive maps on groups arising from quantum stochastic differential equations. (English) Zbl 0607.46040 Boll. Unione Mat. Ital., VI. Ser., A 5, 391-397 (1986). MSC: 46L60 46L51 46L53 46L54 46N99 47D03 82B10 PDFBibTeX XMLCite \textit{K. R. Parthasarathy}, Boll. Unione Mat. Ital., VI. Ser., A 5, 391--397 (1986; Zbl 0607.46040)
Hudson, R. L.; Ion, P. D. F.; Parthasarathy, K. R. Time-orthogonal unitary dilations and noncommutative Feynman-Kac formulae. II. (English) Zbl 0575.46053 Publ. Res. Inst. Math. Sci. 20, 607-633 (1984). MSC: 46L60 47D03 81P20 46L51 46L53 46L54 81S40 PDFBibTeX XMLCite \textit{R. L. Hudson} et al., Publ. Res. Inst. Math. Sci. 20, 607--633 (1984; Zbl 0575.46053) Full Text: DOI
Parthasarathy, K. R. A remark on the integration of Schrödinger equation using quantum Itô’s formula. (English) Zbl 0566.60064 Lett. Math. Phys. 8, 227-232 (1984). MSC: 60H99 81Q05 47D99 PDFBibTeX XMLCite \textit{K. R. Parthasarathy}, Lett. Math. Phys. 8, 227--232 (1984; Zbl 0566.60064) Full Text: DOI
Hudson, R. L.; Parthasarathy, K. R. Stochastic dilations of uniformly continuous completely positive semigroups. (English) Zbl 0541.60066 Acta Appl. Math. 2, 353-378 (1984). MSC: 60H99 46L51 46L53 46L54 47D03 PDFBibTeX XMLCite \textit{R. L. Hudson} and \textit{K. R. Parthasarathy}, Acta Appl. Math. 2, 353--378 (1984; Zbl 0541.60066) Full Text: DOI
Parthasarathy, K. R.; Sinha, K. B. Feynman path integrals of operator-valued maps. (English) Zbl 0489.28011 J. Math. Phys. 23, 1459-1462 (1982). MSC: 28C20 46N99 81S40 47A55 PDFBibTeX XMLCite \textit{K. R. Parthasarathy} and \textit{K. B. Sinha}, J. Math. Phys. 23, 1459--1462 (1982; Zbl 0489.28011) Full Text: DOI
Parthasarathy, K. R.; Sinha, Kalyan B. A random Trotter-Kato product formula. (English) Zbl 0487.47034 Statistics and probability: Essays in Honor of C. R. Rao, 553-565 (1982). MSC: 47D03 47D07 47L90 81S40 PDFBibTeX XML
Hudson, R. L.; Ion, P. D. F.; Parthasarathy, K. R. Time-orthogonal unitary dilations and noncommutative Feynman-Kac formulae. (English) Zbl 0485.46038 Commun. Math. Phys. 83, 261-280 (1982). MSC: 46L60 81P20 47D03 PDFBibTeX XMLCite \textit{R. L. Hudson} et al., Commun. Math. Phys. 83, 261--280 (1982; Zbl 0485.46038) Full Text: DOI
Parthasarathy, Kalyanapuram Rangachari On a class of time inhomogeneous nonsingular flows and Schrödinger operators. (English) Zbl 0469.58006 Math. Z. 179, 123-133 (1982). MSC: 58D25 35G10 35K25 37-XX 47D03 47A35 PDFBibTeX XMLCite \textit{K. R. Parthasarathy}, Math. Z. 179, 123--133 (1982; Zbl 0469.58006) Full Text: DOI EuDML
Parthasarathy, K. R. On a class of time inhomogeneous nonsingular flows and Schrödinger operators. (English) Zbl 0461.58006 Math. Z. (to appear). MSC: 58D25 35G10 35K25 47D03 37-XX 47A35 PDFBibTeX XML Full Text: EuDML
Gustafson, Karl E. (ed.); Reinhardt, William P. (ed.) [Enss, V.; Simon, B.; Devinatz, A.; Rejto, P.; Sinha, K. B.; Sigal, I. M.; Brownell, F. H.; Gustafson, K.; Johanson, G.; Dolph, C. L.; Ramm, A. G.; Reinhardt, W. P.; Jaffe, C.; Shirts, R. B.; Schechter, M.; Weder, R.; Hartman, R. L.; Tadjeran, H.; Xia, D.; Seddighin, M.; Klink, W. H.; Ton-That, T.; Marchand, J.-P.; Schroeck, F. E.; Mercer, R.; Hudson, R. L.; Ion, P. D. F.; Parthasarathy, K. R.; Misra, B.; Goodrich, R. K.; Jones, W. B.; Thron, W. J.; Howland, J. S.] Quantum mechanics in mathematics, chemistry, and physics. (Proceedings of a Special Session in Mathematical Physics organized as a part of the 774th Meeting of the American Mathematical Society, held March 27-29, 1980, in Boulder, Colorado). (English) Zbl 0489.46053 New York, London: Plenum Press. IX, 506 p. $ 59.50 (1981). MSC: 46N99 00Bxx 46L60 46-06 47L90 81-06 46L51 46L53 46L54 47A40 PDFBibTeX XML
Parthasarathy, K. R. Lectures on functional analysis. Part II: Perturbation by unbounded operators. (English) Zbl 0556.47011 ISI Lecture Notes, No. 6. Indian Statistical Institute, New Delhi. Delhi etc.: The Macmillan Company of India Limited. 136 p. (1979). Reviewer: K.-H.Förster MSC: 47A55 47-01 47A53 47B25 81Q10 PDFBibTeX XML
Bhatia, Rajendra; Parthasarathy, K. R. Lectures on functional analysis. Part I: Perturbation by bounded operators. (English) Zbl 0451.47020 ISI Lecture Notes, No. 3. Delhi etc.: The Macmillan Company of India Ltd. V, 146 p. Rs. 35.00 (1978). MSC: 47A55 47A10 26E15 46B03 PDFBibTeX XML
Parthasarathy, K. R. Eigenvalues of matrix-valued analytic maps. (English) Zbl 0389.47009 J. Aust. Math. Soc., Ser. A 26, 179-197 (1978). MSC: 47A55 PDFBibTeX XMLCite \textit{K. R. Parthasarathy}, J. Aust. Math. Soc., Ser. A 26, 179--197 (1978; Zbl 0389.47009)
Parthasarathy, K. R. On the exact bound of the Coulomb potential with respect to the Dirac operator. (English) Zbl 0387.47014 Lett. Math. Phys. 2, 413-415 (1978). MSC: 47A55 PDFBibTeX XMLCite \textit{K. R. Parthasarathy}, Lett. Math. Phys. 2, 413--415 (1978; Zbl 0387.47014) Full Text: DOI