Nimrod Moiseyev
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Nimrod Moiseyev (b. October 1947 in Haifa, Hebrew נמרוד מויסייב) is an Israeli professor of theoretical chemistry & physics at Technion. His research focuses on the foundations of quantum mechanics with applications for selected systems.
Research[edit]
During his postdoctoral studies in Madison, Nimrod Moiseyev, together with Frank Weinhold and Phil Certain, derived a variational principle for non-Hermitian complex scaled Hamiltonians [6], and later, jointly with Joe Hirschfelder, he introduced a generalization of complex scaling transformations [7].
These derivations provide a formal justification for using numerical methods, originally developed for calculating bound states, for computing atomic and molecular autoionization resonances.
Later, upon starting his own research group at Technion, Nimrod Moiseyev and his colleagues developed such methods and applied them to discover metastable states in a range of systems from molecular hydrogen anion [8] to RNA nucleobase (the uracil anion) [9] through optical devices [10].
Nimrod Moiseyev coined terms that are used to describe basic concepts in non-Hermitian quantum mechanics.
First, the complex-product, replacing Dirac’s scalar product, which is used in standard (Hermitian) quantum mechanics [6].
Second, self-orthogonality [6,11], resulting from non-Hermitian degeneracy that corresponds to physical phenomena that cannot be predicted or explained by the standard (Hermitian) quantum mechanics. For example, time asymmetric switch from one state to another [12] rather than accumulating a topological Berry Phase as in the Hermitian case.
He also coined the term universal-RFCAP [13], a reflection-free complex absorption potential, which enables the calculations of resonance decay rates and energies for any system without using energy dependent fitting parameters.
He also invented the term SECS (smooth-exterior-complex-scaling) [13,14]. SECS is used to avoid the difficulties in calculating molecular resonances.
Also, he introduced RVP (the resonances via Pade approach) [15].
In this approach, energies and lifetimes of autoionizing molecular states, as a function of their geometry, can be computed using standard (Hermitian) quantum chemistry packages, along with analytic dilation into the complex (non-Hermitian) plane.
Using the (t,t’) method that he developed with his then PhD student Uri Peskin [16], he carried out the first ab-initio calculations of high-order harmonic generation spectra (HGS) for helium atoms in 1998.
This work has put an end to a long standing discussion about the source of HGS by showing that it is obtained from neutral atoms in a photo induced resonance finite lifetime metastable state and not by the cations [17].
Nimrod Moiseyev was also among the pioneers of PT symmetry in optics [18,19]; a phenomenon that was confirmed experimentally two years later by Detlef Kip, Mordechai (Moti) Segev and Demitris Christodoulides and their co-workers [20].
He also developed the counter intuitive adiabatic theory for cold molecular collisions [21] that enabled analysis of experimental results measured in the lab of Ed Narevicius at Weizmann institute of Science [22].
In 2008 Nimrod Moiseyev together with his postdoctoral fellow Milan Sindelka and his colleague Lorenz Cederbaum opened the field of Light / Laser - Induced Conical Intersection (LICI) [23] that in 2016 was observed in experiments conducted by Adi Natan from SLAC Labs [24].
Books[edit]
- The book “Non-Hermitian Quantum Mechanics” that Nimrod Moiseyev wrote (Cambridge University Press, 2011. ISBN:978-0-521-88972-8 ) provides a comprehensive description of the foundations of non-Hermitian quantum mechanics with different applications in various fields. For example, it includes solutions of the Maxwell equations with complex index of refraction, where the Hamiltonian is non-Hermitian even without imposing outgoing boundary conditions as required in the studies of resonance phenomena in nature. Link to this book in Google Scholar
- The need for non-Hermitian formalism of quantum mechanics is discussed also in a two volumes textbook “Quantum mechanics from foundations to applications” that Nimrod Moiseyev wrote in Hebrew (Magnus Press, Hebrew University, 2015. ISBN:978-965-493-773-3).
Prizes & Awards[edit]
- Medal of CMOA (Centre de Mecanique Ondulatoire Appliquee founded by Louis de Broglie) as a recognition of his contributions to the development of the non-hermitian quantum mechanic”, (2010).
- J. Phys. B: Atomic, Molecular and Optical Physics, dedicated a special issue (# 4, Vol. 42) on resonances to Nimrod Moiseyev on accounts of his ”research with important contributions”, (2009).
- Landau award for Sciences and Research by Mifaal Ha Pais, (2006).
- The Israel Chemistry Society Prize for excellence in research, (2006).
- Golden Medal from the Israeli Chemistry Society for “his pioneering work on resonance states in atoms and molecules and for introducing the theory of non-Hermitian quantum mechanics, which had a remarkable impact on experimental chemistry and physics”
- Alexander von Humboldt Research Award to senior scientists, (2002).
- Yigal Allon Fellow, award for Young Outstanding Scientists in Universities in Israel, (1981).
Visiting Academic Positions[edit]
Between 1990 to 2016 Nimrod Moiseyev was a visiting professor in the University of Kaisreslautern and Heidelberg University in Germany, Pierre and Marie Curie University (Paris 6) and Paris-Sud University (Orsay) in France, and University of Wisconsin-Madison, UCLA, Pen University and ITAMP at Harvard in USA.
Education[edit]
1965-69 - B.Sc. in Chemistry, Bar-Ilan University
1970-72 - M.Sc. Thesis on: Isotope enrichment by Gas Chromatography, Weizmann Institute of Science.
1973-77 - D.Sc. Thesis on: Mathematical and Physical Problems in SCF (self-consistent-field) methods, Technion-Israel Institute of Technology.
1977-79 - Research Associate, TCI-Theoretical Chemistry Institute, University of Wisconsin, Madison, USA.
External Links[edit]
Nimrod Moiseyev in Google Scholar
Nimrod Moiseyev in Israeli Chemistry Society Golden Medal Awards
J. Phys. B: Atomic special issue dedicated to Nimrod Moiseyev on his 60's birthday
Molecular Physics: Special issue dedicated to Nimrod Moiseyev on his 70's birthday
Landau Award was granted to Prof.Nimrod Moiseyev
Nimrod Moiseyev in QSCP Promising Scientist Award of CMOA, Cambridge 2010
Nimrod moiseyev in Theoretical and Computational Chemistry (ChemRxiv)
References List[edit]
[[1]] P. Dirac “The Principle of Quantum Mechanics”, Oxford University Press, 1930.
[2] L. D. Landau and E. M. Lifshitz, “Quantum Mechanics: non-relativistic theory”, Per-gamon Press, New York, 1965.
[3] G. Gamow, Zs. F. Phys. 51 ,204 (1928); Zs. F. Phys. 52, 510 (1928)
[4] E. Balslev and J. M. Combes, Commun, Math. Phys. 22, 269 (1971).
[5] B. Simon, Commun. Math. Phys. 27, 1 (1972); Ann. Math. 97, 247 (1973).
[6] N. Moiseyev, P.R. Certain and F. Weinhold, Mol. Phys. 36, 1613 (1978).
[7] N. Moiseyev and J.O. Hirschfelder, J. Chem. Phys. 88, 1063 (1988).
[8] N. Moiseyev and C.T. Corcoran, Phys. Rev. A 20, 814 (1979).
[9] G. Buskila, A. Landau, I. Haritan, N. Moiseyev, and D. Bhattacharya, “Complex En-ergies and Transition-Dipoles for the Uracil anion Shape-type Resonances from stabiliza-tion curves via Padé”, Theoretical and Computational Chemistry (2021).
[10] I. Vorobeichik, U. Peskin, and N. Moiseyev J. Opt. Soc. Am. B-Opt. Phys. 12, 1133 (1995); I. Vorobeichik, and N. Moiseyev, and D. Neuhauser, J. Opt. Soc. Am. B-Opt. Phys. 14, 1207 (1997); I. Vorobeichik, M. Orenstein, and N. Moiseyev, IEEE J. Quantum Elec-tron. 34,1772 (1998).
[11] E. Narevicius, P. Serra, and N. Moiseyev, Europhys. Lett. 63, 789 (2003).
[12] R. Uzdin, A. A. Mailybaev, and N. Moiseyev, J. Phys. A-Math. Theor. 44, 435302 (2011); I. Gilary, A. A. Mailybaev, and N. Moiseyev, Phys. Rev. A 88, 010101(R), (2013); I. Doppler, A. A. Mailybaev, J. Bohm, U. Kuhl, A. Girschik, F. Libisch, T.J. Milburn, P.,Rabl, N. Moiseyev and S. Rotter, Nature 537, 76 (2016).
[13] N. Moiseyev, J. Phys. B-At. Mol. Opt. Phys. 31, 1431 (1998).
[14] N. Rom, E. Engdahl, and N. Moiseyev, J. Chem. Phys. 93, 3413 (1990).
[15] A. Landau, I. Haritan, P. R. Kapralova-zd’anska, and N. Moiseyev, J. Phys. Chem. A, 120, 3098 (2016); D. Bhattacharya, A. Landau, and N. Moiseyev, J. Phys. Chem. Lett. 11, 5601 (2020). A. Ben-asher, A. Landau, and N. Moiseyev,. Chem. Theory Comput., 17, 3435 (2021).
[16] U. Peskin and N. Moiseyev, J. Chem. Phys. 99 , 4590 (1993); N. Moiseyev, J. Chem. Phys. 101, 9716 (1994),
[17] N. Moiseyev and F. Weinhold, Phys. Rev. Lett. 78, 2100 (1997).
[18] K. G. Makris, R. El-Ganainy, D. N. Christodoulides, and Z. H. Musslimani, Phys. Rev. Lett. 100, 103904 (2008).
[19] S. Klaiman, U. Guenther, and N. Moiseyev, Phys. Rev. Lett. 101, 080402 (2008); N. Moiseyev, Phys. Rev. A 83, 052125 (2011); N. Moiseyev and A. A. Mailybaev, “Effects of Exceptional Points in PT-Symmetric Waveguides” in Parity-time Symmetry and Its Appli-cations (pp. 237-259). Springer, Singapore, 2018.
[20] C. E. Ruter, K. G. Makris, R. El-Ganainy, D. N. Christodoulides, M. Segev, and D. Kip, Nature Physics 6, 192 (2010).
[21] M. Pawlak, Y. Shagam, A. Klein, E. Narevicius, and N.Moiseyev, J. Phys. Chem. A 121, 2194 (2017).
[22] A. Klein, Y. Shagam, W. Skomorowski, P.S. Zuchowski, M. Pawlak, L. M. C. Janssen, N. Moiseyev, S. Y. T. van de Meerakker, A. van der Avoird, C. P. Koch, and E. Narevicius, Nature Physics 13, 35 (2017).
[23] N. Moiseyev, M. Sindelka, and L. S. Cederbaum, J. Phys. B-At. Mol. Opt. Phys. 41, 221001 (2008); N. Moiseyev and M. Sindelka, J. Phys. B-At. Mol. Opt. Phys. 44, 111002 (2011); M. Sindelka, N. Moiseyev, and L. S. Cederbaum, J. Phys. B-At. Mol. Opt. Phys. 44, 045603 (2011).
[24] A. Natan, M. R. Ware, V. S. Prabhudesai, U. Lev, B. D. Bruner, O. Heber, and P. H. Bucksbaum, Phys. Rev. Lett. 116, 143004 (2016).
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