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Since the 1970s, spin-selective reactions of radical pairs have been modelled theoretically by adding phenomenological rate equations to the quantum mechanical equation of motion of the radical pair spin density matrix. Here, using a…

Quantum Physics · Physics 2010-03-04 Jonathan A. Jones , Peter J. Hore

In his Comment on a recent paper by two of us Kominis claims that the recently proposed quantum measurement model for spin-selective reactions of radical pairs leads to ambiguous predictions in a simple case. Here we show that this claim is…

Quantum Physics · Physics 2011-05-09 J. A. Jones , Kiminori Maeda , U. E. Steiner , P. J. Hore

Spin-selective reactions of radical pairs have traditionally been modelled theoretically by adding phenomenological rate equations to the quantum mechanical equation of motion of the radical pair spin density matrix. More recently an…

Quantum Physics · Physics 2011-05-03 Jonathan A. Jones , Kiminori Maeda , Peter J. Hore

Recently, spin-selective radical pair reactions have been studied using concepts from quantum measurement theory. In this Article, we show that the approach taken by Kominis (Physical Review E, 83, 2011, 056118) leads to erroneous results…

Quantum Physics · Physics 2011-10-12 Alpha Lee

Radical-ion-pair reactions were recently shown to represent a rich biophysical laboratory for the application of quantum measurement theory methods and concepts. We here propose a concrete experimental test that can clearly discriminate…

Quantum Physics · Physics 2015-05-30 A. T. Dellis , I. K. Kominis

Model-independent identities and inequalities relating the various spin observables of a reaction are reviewed in a unified formalism, together with their implications for dynamical models, their physical interpretation, and the quantum…

High Energy Physics - Phenomenology · Physics 2009-01-14 Xavier Artru , Mokhtar Elchikh , Jean-Marc Richard , Jacques Soffer , Oleg V. Teryaev

In theories of spin-dependent radical pair reactions, the time evolution of the radical pair, including the effect of the chemical kinetics, is described by a master equation in the Liouville formalism. For the description of the chemical…

Chemical Physics · Physics 2012-05-16 M. Tiersch , U. E. Steiner , S. Popescu , H. J. Briegel

Radical-ion-pair reactions were recently shown to represent a rich biophysical laboratory for the application of quantum measurement theory methods and concepts, casting doubt on the validity of the theoretical treatment of these reactions…

Quantum Physics · Physics 2010-09-16 I. K. Kominis

Magnetic field effects on radical pair reactions arise due to the interplay of coherent electron spin dynamics and spin relaxation effects, a rigorous treatment of which requires the solution of the Liouville-von Neumann equation. However,…

Chemical Physics · Physics 2019-04-22 Thomas P Fay , David E Manolopoulos

For theoretical approach of quantum measurements it is proposed a set of reconsidered conjectures. The proposed approach implies linear functional transformations for probability density and current but preserves the expressions for…

Quantum Physics · Physics 2007-05-23 S. Dumitru

Radical-ion-pair reactions were recently shown to manifest a host of non-trivial quantum effects accounted for by quantum measurement theory. An alternative approach purporting to describe the fundamental quantum dynamics of spin-selective…

Quantum Physics · Physics 2010-11-10 Iannis K. Kominis

We elaborate on the physical meaning of the non-linear master equation that was recently derived to account for spin-selective radical-ion-pair reactions. Based on quite general arguments, we show that such a non-linear master equation is…

Quantum Physics · Physics 2011-05-25 I. K. Kominis

The standard quantum mechanical expressions for the singlet and triplet survival probabilities and product yields of a radical pair recombination reaction involve a trace over the states in a combined electronic and nuclear spin Hilbert…

Chemical Physics · Physics 2017-01-02 Alan M. Lewis , Thomas P. Fay , David E. Manolopoulos

In the operator formalism of quantum mechanics, the density operator describes the complete statistics of a quantum state in terms of d^2 independent elements, where d is the number of possible outcomes for a precise measurement of an…

Quantum Physics · Physics 2014-09-30 Holger F. Hofmann

We present a practical semiclassical method for computing the electron spin dynamics of a radical in which the electron spin is hyperfine coupled to a large number of nuclear spins. This can be used to calculate the singlet and triplet…

Chemical Physics · Physics 2014-07-09 David E. Manolopoulos , P. J. Hore

Radical pair recombination reactions are normally described using a quantum mechanical master equation for the electronic and nuclear spin density operator. The electron spin state selective (singlet and triplet) recombination processes are…

Chemical Physics · Physics 2018-08-10 Thomas P. Fay , Lachlan P. Lindoy , David E. Manolopoulos

We address the problem of relative frequencies of singlet and triplet recombinations in a multiparticle system, which consists of spin-correlated radical ion pairs. The nonlocal swapping of spin correlations due to cross-recombinations is…

Quantum Physics · Physics 2009-03-04 L. V. Il'ichov , S. V. Anishchik

For any quantum state representing a physical system of identical particles, the density operator must satisfy the symmetrisation principle (SP) and for massive particles also conform to super-selection rules (SSR) that prohibit coherences…

Quantum Physics · Physics 2015-07-01 Bryan Dalton. Libby Heaney , John Goold , Barry Garraway , Thomas Busch

It is widely believed that statistical interpretation of quantum mechanics requires that density operators representing quantum states be normalized. We present a description of selective measurements in terms of density operators. The…

Mathematical Physics · Physics 2007-11-15 Wlodzimierz M. Tulczyjew

We describe how the semiclassical theory of radical pair recombination reactions recently introduced by two of us [D. E. Manolopoulos and P. J. Hore, J. Chem. Phys. 139, 124106 (2013)] can be generalised to allow for different singlet and…

Chemical Physics · Physics 2014-07-28 Alan M. Lewis , David E. Manolopoulos , P. J. Hore
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