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This book collects contributions to the Special Issue entitled "Symmetries in Quantum Mechanics and Statistical Physics" of the journal Symmetry. These contributions focus on recent advancements in the study of PT–invariance of non-Hermitian Hamiltonians, the supersymmetric quantum mechanics of relativistic and non-relativisitc systems, duality transformations for power–law potentials and conformal transformations. New aspects on the spreading of wave packets are also discussed.

Research & information: general --- Technology: general issues --- non-Hermitian quantum dynamics --- unitary vicinity of exceptional points --- degenerate perturbation theory --- Hilbert-space geometry near EPs --- relativistic wave equation --- Klein–Gordon equation --- Dirac equation --- Proca equation --- supersymmetry --- quantum mechanics --- shape invariance --- curved space --- position-dependent mass --- supersymmetric quantum mechanics --- self-adjoint extensions --- infinite square well --- contact potentials --- power-law duality --- classical and quantum mechanics --- semiclassical quantization --- quark confinement --- spreading wave function --- scattering --- localization --- Klein–Gordon oscillator --- Green’s function --- semiclassical theories and applications --- classical general relativity --- n/a --- Klein-Gordon equation --- Klein-Gordon oscillator --- Green's function

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This book collects contributions to the Special Issue entitled "Symmetries in Quantum Mechanics and Statistical Physics" of the journal Symmetry. These contributions focus on recent advancements in the study of PT–invariance of non-Hermitian Hamiltonians, the supersymmetric quantum mechanics of relativistic and non-relativisitc systems, duality transformations for power–law potentials and conformal transformations. New aspects on the spreading of wave packets are also discussed.

non-Hermitian quantum dynamics --- unitary vicinity of exceptional points --- degenerate perturbation theory --- Hilbert-space geometry near EPs --- relativistic wave equation --- Klein–Gordon equation --- Dirac equation --- Proca equation --- supersymmetry --- quantum mechanics --- shape invariance --- curved space --- position-dependent mass --- supersymmetric quantum mechanics --- self-adjoint extensions --- infinite square well --- contact potentials --- power-law duality --- classical and quantum mechanics --- semiclassical quantization --- quark confinement --- spreading wave function --- scattering --- localization --- Klein–Gordon oscillator --- Green’s function --- semiclassical theories and applications --- classical general relativity --- n/a --- Klein-Gordon equation --- Klein-Gordon oscillator --- Green's function

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In the last few years, the leading semiconductor industries have introduced multi-gate non-planar transistors into their core business. These are being applied in memories and in logical integrated circuits to achieve better integration on the chip, increased performance, and reduced energy consumption. Intense research is underway to develop these devices further and to address their limitations, in order to continue transistor scaling while further improving performance. This Special Issue looks at recent developments in the field of nanowire field-effect transistors (NW-FETs), covering different aspects of the technology, physics, and modelling of these nanoscale devices.

History of engineering & technology --- random dopant --- drift-diffusion --- variability --- device simulation --- nanodevice --- screening --- Coulomb interaction --- III-V --- TASE --- MOSFETs --- Integration --- nanowire field-effect transistors --- silicon nanomaterials --- charge transport --- one-dimensional multi-subband scattering models --- Kubo–Greenwood formalism --- schrödinger-poisson solvers --- DC and AC characteristic fluctuations --- gate-all-around --- nanowire --- work function fluctuation --- aspect ratio of channel cross-section --- timing fluctuation --- noise margin fluctuation --- power fluctuation --- CMOS circuit --- statistical device simulation --- variability effects --- Monte Carlo --- Schrödinger based quantum corrections --- quantum modeling --- nonequilibrium Green’s function --- nanowire transistor --- electron–phonon interaction --- phonon–phonon interaction --- self-consistent Born approximation --- lowest order approximation --- Padé approximants --- Richardson extrapolation --- ZnO --- field effect transistor --- conduction mechanism --- metal gate --- material properties --- fabrication --- modelling --- nanojunction --- constriction --- quantum electron transport --- quantum confinement --- dimensionality reduction --- stochastic Schrödinger equations --- geometric correlations --- silicon nanowires --- nano-transistors --- quantum transport --- hot electrons --- self-cooling --- nano-cooling --- thermoelectricity --- heat equation --- non-equilibrium Green functions --- power dissipation

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Mesoscopic physics deals with systems larger than single atoms but small enough to retain their quantum properties. The possibility to create and manipulate conductors of the nanometer scale has given birth to a set of phenomena that have revolutionized physics: quantum Hall effects, persistent currents, weak localization, Coulomb blockade, etc. This Special Issue tackles the latest developments in the field. Contributors discuss time-dependent transport, quantum pumping, nanoscale heat engines and motors, molecular junctions, electron–electron correlations in confined systems, quantum thermo-electrics and current fluctuations. The works included herein represent an up-to-date account of exciting research with a broad impact in both fundamental and applied topics.

Technology: general issues --- quantum transport --- quantum interference --- shot noise --- persistent current --- mesoscale and nanoscale physics --- Complementary Metal Oxide Semiconductor (CMOS) technology --- electron quantum optics --- photo-assisted noise --- charge and heat fluctuations --- time-dependent transport --- electron–photon coupling --- open quantum systems --- phonon transport --- nanostructured materials --- green’s functions --- density-functional tight binding --- Landauer approach, time-dependent transport --- graphene nanoribbons --- nonequilibrium Green’s function --- electronic transport --- thermal transport --- strongly correlated systems --- Landauer-Büttiker formalism --- Boltzmann transport equation --- time-dependent density functional theory --- electron–phonon coupling --- molecular junctions --- thermoelectric properties --- electron–vibration interactions --- electron–electron interactions --- thermoelectricity --- heat engines --- mesoscopic physics --- fluctuations --- thermodynamic uncertainty relations --- quantum thermodynamics --- steady-state dynamics --- nonlinear transport --- adiabatic quantum motors --- adiabatic quantum pumps --- quantum heat engines --- quantum refrigerators --- transport through quantum dots --- spin pump --- spin-orbit interaction --- quantum adiabatic pump --- interferometer --- geometric phase --- nonadiabaticity --- quantum heat pumping --- spin pumping --- relaxation --- time evolution --- quantum information --- entropy production --- Renyi entropy --- superconducting proximity effect --- Kondo effect --- spin polarization --- Anreev reflection --- conditional states --- conditional wavefunction --- Markovian and Non-Markovian dynamics --- stochastic Schrödinger equation --- quantum electron transport --- quantum dots --- fluctuation–dissipation theorem --- Onsager relations --- dynamics of strongly correlated quantum systems --- quantum capacitor --- local fermi liquids --- kondo effect --- coulomb blockade --- mesoscopic systems --- nanophysics --- quantum noise --- quantum pumping --- thermoelectrics --- heat transport

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Mesoscopic physics deals with systems larger than single atoms but small enough to retain their quantum properties. The possibility to create and manipulate conductors of the nanometer scale has given birth to a set of phenomena that have revolutionized physics: quantum Hall effects, persistent currents, weak localization, Coulomb blockade, etc. This Special Issue tackles the latest developments in the field. Contributors discuss time-dependent transport, quantum pumping, nanoscale heat engines and motors, molecular junctions, electron–electron correlations in confined systems, quantum thermo-electrics and current fluctuations. The works included herein represent an up-to-date account of exciting research with a broad impact in both fundamental and applied topics.

quantum transport --- quantum interference --- shot noise --- persistent current --- mesoscale and nanoscale physics --- Complementary Metal Oxide Semiconductor (CMOS) technology --- electron quantum optics --- photo-assisted noise --- charge and heat fluctuations --- time-dependent transport --- electron–photon coupling --- open quantum systems --- phonon transport --- nanostructured materials --- green’s functions --- density-functional tight binding --- Landauer approach, time-dependent transport --- graphene nanoribbons --- nonequilibrium Green’s function --- electronic transport --- thermal transport --- strongly correlated systems --- Landauer-Büttiker formalism --- Boltzmann transport equation --- time-dependent density functional theory --- electron–phonon coupling --- molecular junctions --- thermoelectric properties --- electron–vibration interactions --- electron–electron interactions --- thermoelectricity --- heat engines --- mesoscopic physics --- fluctuations --- thermodynamic uncertainty relations --- quantum thermodynamics --- steady-state dynamics --- nonlinear transport --- adiabatic quantum motors --- adiabatic quantum pumps --- quantum heat engines --- quantum refrigerators --- transport through quantum dots --- spin pump --- spin-orbit interaction --- quantum adiabatic pump --- interferometer --- geometric phase --- nonadiabaticity --- quantum heat pumping --- spin pumping --- relaxation --- time evolution --- quantum information --- entropy production --- Renyi entropy --- superconducting proximity effect --- Kondo effect --- spin polarization --- Anreev reflection --- conditional states --- conditional wavefunction --- Markovian and Non-Markovian dynamics --- stochastic Schrödinger equation --- quantum electron transport --- quantum dots --- fluctuation–dissipation theorem --- Onsager relations --- dynamics of strongly correlated quantum systems --- quantum capacitor --- local fermi liquids --- kondo effect --- coulomb blockade --- mesoscopic systems --- nanophysics --- quantum noise --- quantum pumping --- thermoelectrics --- heat transport