205 research outputs found

    Thermodynamics of Pseudo-Hermitian Systems in Equilibrium

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    In study of pseudo(quasi)-hermitian operators, the key role is played by the positive-definite metric operator. It enables physical interpretation of the considered systems. In the article, we study the pseudo-hermitian systems with constant number of particles in equilibrium. We show that the explicit knowledge of the metric operator is not essential for study of thermodynamic properties of the system. We introduce a simple example where the physically relevant quantities are derived without explicit calculation of either metric operator or spectrum of the Hamiltonian.Comment: 9 pages, 2 figures, to appear in Mod.Phys.Lett. A; historical part of sec. 2.1 reformulated, references corrected; typos correcte

    Supersymmetric quantum mechanics living on topologically nontrivial Riemann surfaces

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    Supersymmetric quantum mechanics is constructed in a new non-Hermitian representation. Firstly, the map between the partner operators H(±)H^{(\pm)} is chosen antilinear. Secondly, both these components of a super-Hamiltonian H{\cal H} are defined along certain topologically nontrivial complex curves r(±)(x)r^{(\pm)}(x) which spread over several Riemann sheets of the wave function. The non-uniqueness of our choice of the map T{\cal T} between "tobogganic" partner curves r(+)(x)r^{(+)}(x) and r(−)(x)r^{(-)}(x) is emphasized.Comment: 14p

    Solvability and PT-symmetry in a double-well model with point interactions

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    We show that and how point interactions offer one of the most suitable guides towards a quantitative analysis of properties of certain specific non-Hermitian (usually called PT-symmetric) quantum-mechanical systems. A double-well model is chosen, an easy solvability of which clarifies the mechanisms of the unavoided level crossing and of the spontaneous PT-symmetry breaking. The latter phenomenon takes place at a certain natural boundary of the domain of the "acceptable" parameters of the model. Within this domain the model mediates a nice and compact explicit illustration of the not entirely standard probabilistic interpretation of the physical bound states in the very recently developed (so called PT symmetric or, in an alternative terminology, pseudo-Hermitian) new, fairly exciting and very quickly developing branch of Quantum Mechanics.Comment: 24 p., written for the special journal issue "Singular Interactions in Quantum Mechanics: Solvable Models". Will be also presented to the int. conference "Pseudo-Hermitian Hamiltonians in Quantum Physics III" (Instanbul, Koc University, June 20 - 22, 2005) http://home.ku.edu.tr/~amostafazadeh/workshop/workshop.ht

    Self-isospectrality, special supersymmetry, and their effect on the band structure

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    We study a planar model of a non-relativistic electron in periodic magnetic and electric fields that produce a 1D crystal for two spin components separated by a half-period spacing. We fit the fields to create a self-isospectral pair of finite-gap associated Lame equations shifted for a half-period, and show that the system obtained is characterized by a new type of supersymmetry. It is a special nonlinear supersymmetry generated by three commuting integrals of motion, related to the parity-odd operator of the associated Lax pair, that coherently reflects the band structure and all its peculiarities. In the infinite period limit it provides an unusual picture of supersymmetry breaking.Comment: Title changed by the Editor of Phys. Rev. Lett., published versio

    Shear Strength of Copper Joints Prepared by Low Temperature Sintering of Silver Nanoparticles

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    In this work, mechanical properties of Cu-to-Cu joint samples prepared by low temperature sintering of Ag nanoparticle paste have been investigated. The silver nanopaste was prepared by a controlled thermal decomposition of an organometallic precursor. The as-synthesized Ag particles were spherical, with an average diameter of 8.5 nm. The Cu-to-Cu joint samples were made by placing a small amount of Ag nanopaste between two polished Cu plates and sintering at 150C, 200C, 220C and 350C in air. A normal load was applied to aid sintering. Mechanical properties were measured by imposing a uniform stress across the sample bond area and measuring the corresponding strain. The application of external load was found to have a positive effect on the material’s mechanical properties. Furthermore, interestingly high values of shear strength were observed.Byly zkoumĂĄny mechanickĂ© vlastnosti Cu-to-Cu spojĆŻ pƙipravenĂœch nĂ­zkoteplotnĂ­ sintracĂ­ pasty Ag nanočástic. Ag nanopasta byla pƙipravena ƙízenĂœm tepelnĂœm rozkladem organokovovĂœch prekurzorĆŻ. SyntetizovanĂ© Ag NPs byly kulovitĂ©, o stƙednĂ­m prĆŻměru 8,5 nm. Cu-to-Cu spoje byly vyrobeny umĂ­stěnĂ­m malĂ©ho mnoĆŸstvĂ­ Ag nanopasty mezi dvě leĆĄtěnĂ© Cu desky a sintrovĂĄnĂ­m pƙi 150C, 200C, 220C and 350C na vzduchu. ZatĂ­ĆŸenĂ­ bylo pouĆŸito na k podpoƙe sintrace. MechanickĂ© vlastnosti byly měƙeny stanovenĂ­m napětĂ­ lomu a deformace. Bylo zjiĆĄtěno, ĆŸe aplikace vnějĆĄĂ­ho zatĂ­ĆŸenĂ­ mĂĄ pozitivnĂ­ vliv na mechanickĂ© vlastnosti spoje

    Molecular beam epitaxy of CuMnAs

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    We present a detailed study of the growth of the tetragonal polymorph of antiferromagnetic CuMnAs by the molecular beam epitaxy technique. We explore the parameter space of growth conditions and their effect on the microstructural and transport properties of the material. We identify its typical structural defects and compare the properties of epitaxial CuMnAs layers grown on GaP, GaAs and Si substrates. Finally, we investigate the correlation between the crystalline quality of CuMnAs and its performance in terms of electrically induced resistance switching.Comment: 10 pages, 8 figures and supplementary materia

    Hypergravity effects on glide arc plasma

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    The behaviour of a special type of electric discharge – the gliding arc plasma – has been investigated in hypergravity (1g –18g) using the Large Diameter Centrifuge (LDC) at ESA/ESTEC. The discharge voltage and current together with the videosignal from a fast camera have been recorded during the experiment. The gliding of the arc is governed by hot gas buoyancy and by consequence, gravity. Increasing the centrifugal acceleration makes the glide arc movement substantially faster. Whereas at 1g the discharge was stationary, at 6g it glided with 7 Hz frequency and at 18g the gliding frequency was 11 Hz. We describe a simple model for the glide arc movement assuming low gas flow velocities, which is compared to our experimental results
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