Certificate regarding Jacques Judah Lyons

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Congregational birth certificate of Jacques Judah Lyons

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Copy of birth certificate of Jacques Judah Lyons

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Acknowledgement of Jacques Judah Lyons' letter by Sir Moses Montefiore

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Tiede ja tutkijan sosiaalinen vastuu : Joseph Ben-Davidin, Roger Sperryn ja Knut Erik Tranøyn käsitykset tieteestä ja tutkijan sosiaalisesta vastuusta

Science and the Scientist's Social Responsibility. Joseph Ben-David's, Roger Sperry's and Knut Erik Tranøy's Views of Science and the Scientist's Social Responsibility The aim of the study was to investigate, whether or not there is any connection between Jewish sociologist Joseph Ben-David's, American neuroscientist Roger Sperry's and Norwegian philosopher Knut Erik Tranøy's views of science and views of the scientist's social responsibility. The sources of information were their writings concerning this topic. Ben-David has a classical view of science. He thinks that the Mertonian norms of scientific activity, first written in 1942, are still valid in modern science. With the help of these norms Ben-David defends the view that science is morally neutral. Ben-David thinks that a scientist has a limited social responsibility. A scientist only reports on the new results, but he is not responsible for applying the results. In any case Ben-David's ideas are no longer valid. Sperry has a scientistic view of science. According to Sperry, science is the source of moral norms and also the best guide for moral action. The methods of natural sciences "show" how to solve moral problems. A scientist's personal views of science and social responsibility are not important. However Sperry's view is very problematic on the ethical side. Tranøy stresses the scientist's social responsibility. A scientist has common norms with the society from with he or she comes. This is why a scientist has the right, and also the responsibility, to discuss social and ethical questions between science and society. Tranøy's view has some ethical and practical problems, but it is valid in principle. Finally, Ben-David's, Sperry's and Tranøy's views of both science and the scientist's social responsibility have a connection: the view of science corresponds to the certain view of scientist's social responsibility. The result of this study is: Ben-David's, Sperry's and Tranøy's view of science have an ethical starting point as its fundamental presupposition, which include certain views of scientific knowledge, good and the scientist's ethical responsibilities. The connection between Ben-David's, Sperry's and Tranøy's views of science and views of the scientist's social responsibility means that their views of epistemology, meta-ethics and the scientist's ethical responsibilities have a connection to their views of the scientist's social responsibility. The results of this study can help the scientific community to organize the social responsibility of a scientist and deepen the conversation concerning the scientist's social responsibility.

Draft of letter by Jacques Judah Lyons to Sir Moses Montefiore, sending him payment for the Jews of Palestine, and acknowledgement

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Copy of letter from Jacques Judah Lyons to Sir Moses Montefiore enclosing bill of exchange for Palestinian Jews

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Lecture by Jacques Judah Lyons on the history of the Jews, given before the Hebrew Religious and Literary Library Association

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Sermon by Jacques Judah Lyons on the death of President William Henry Harrison

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Book of Selichot by Jacques Judah Lyons written in Surinam

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Letter to Jacques Judah Lyons and notes on Hebrew grammar by Joshua Seixas

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Various letters to Jacques Judah Lyons

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Landau-Zener problem with waiting at the minimum gap and related quench dynamics of a many-body system

We discuss a technique for solving the Landau-Zener (LZ) problem of finding the probability of excitation in a two-level system. The idea of time reversal for the Schrodinger equation is employed to obtain the state reached at the final time and hence the excitation probability. Using this method, which can reproduce the well-known expression for the LZ transition probability, we solve a variant of the LZ problem, which involves waiting at the minimum gap for a time t(w); we find an exact expression for the excitation probability as a function of t(w). We provide numerical results to support our analytical expressions. We then discuss the problem of waiting at the quantum critical point of a many-body system and calculate the residual energy generated by the time-dependent Hamiltonian. Finally, we discuss possible experimental realizations of this work.

Phenomenological Ginzburg-Landau-like theory for superconductivity in the cuprates

We propose and develop here a phenomenological Ginzburg-Landau-like theory of cuprate high-temperature superconductivity. The free energy of a cuprate superconductor is expressed as a functional F of the complex spin-singlet pair amplitude psi(ij) equivalent to psi(m) = Delta(m) exp(i phi(m)), where i and j are nearest-neighbor sites of the square planar Cu lattice in which the superconductivity is believed to primarily reside, and m labels the site located at the center of the bond between i and j. The system is modeled as a weakly coupled stack of such planes. We hypothesize a simple form FDelta, phi] = Sigma(m)A Delta(2)(m) + (B/2)Delta(4)(m)] + C Sigma(< mn >) Delta(m) Delta(n) cos(phi(m) - phi(n)) for the functional, where m and n are nearest-neighbor sites on the bond-center lattice. This form is analogous to the original continuum Ginzburg-Landau free-energy functional; the coefficients A, B, and C are determined from comparison with experiments. A combination of analytic approximations, numerical minimization, and Monte Carlo simulations is used to work out a number of consequences of the proposed functional for specific choices of A, B, and C as functions of hole density x and temperature T. There can be a rapid crossover of from small to large values as A changes sign from positive to negative on lowering T; this crossover temperature T-ms(x) is identified with the observed pseudogap temperature T*(x). The thermodynamic superconducting phase-coherence transition occurs at a lower temperature T-c(x), and describes superconductivity with d-wave symmetry for positive C. The calculated T-c(x) curve has the observed parabolic shape. The results for the superfluid density rho(s)(x, T), the local gap magnitude , the specific heat C-v(x, T) (with and without a magnetic field), as well as vortex properties, all obtained using the proposed functional, are compared successfully with experiments. We also obtain the electron spectral density as influenced by the coupling between the electrons and the correlation function of the pair amplitude calculated from the functional, and compare the results successfully with the electronic spectrum measured through angle resolved photoemission spectroscopy (ARPES). For the specific heat, vortex structure, and electron spectral density, only some of the final results are reported here; the details are presented in subsequent papers.

Conjectures about phase turbulence in the complex Ginzburg-Landau equation

In the complex Ginzburg-Landau equation, we consider possible ''phase turbulent'' regimes, where asymptotic correlations are controlled by phase fluctuations rather than by topological defects. Conjecturing that the decay of such correlations is governed by the Kardar-Parisi-Zhang (KPZ) model of growing interfaces, we derive the following results: (1) A scaling ansatz implies that equal-time spatial correlations in 1d, 2d, and 3d decay like e(-Ax2 zeta), where A is a nonuniversal constant, and zeta=1/2 in 1d. (2) Temporal correlations decay as exp(-t(2 beta)h(t/L(z))), with the scaling law <(beta)over bar> = <(zeta)over bar>/z, where z = 3/2, 1.58..., and 1.66..., for d = 1,2, and 3 respectively. The scaling function h(y) approaches a constant as y --> 0, and behaves like y(2(beta-<(beta)over bar>)), for large y. If in 3d the associated KPZ model turns out to be in its weak-coupling (''smooth'') phase, then, instead of the above behavior, the CGLE exhibits rotating long-range order whose connected correlations decay like 1/x in space or 1/t(1/2) in time. (3) For system sizes, L, and times t respectively less than a crossover length, L(c), and time, t(c), correlations are governed by the free-field or Edwards-Wilkinson (EW) equation, rather than the KPZ model. In 1d, we find that L(c) is large: L(c) similar to 35,000; for L < L(c) we show numerical evidence for stretched exponential decay of temporal correlations with an exponent consistent with the EW value beta(EW)= 1/4.