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  • 1
    Online Resource
    Online Resource
    Bristol :Institute of Physics Publishing,
    Keywords: Electronic books.
    Description / Table of Contents: Intended for science and engineering students with a background in introductory physics and calculus, this textbook creates a bridge between classical and modern physics, filling the gap between descriptive elementary texts and formal graduate textbooks.
    Type of Medium: Online Resource
    Pages: 1 online resource (448 pages)
    Edition: 1st ed.
    ISBN: 9780750326780
    Series Statement: IOP Ebooks Series
    Language: English
    Note: Intro -- Preface -- Acknowledgements -- Editor biography -- Canio Noce -- Contributors -- Outline placeholder -- Carmine Attanasio -- Francesco Avitabile -- Antonio Capolupo -- Mario Cuoco -- Roberto De Luca -- Marco Di Mauro -- Marco Figliolia -- Veronica Granata -- Delia Guerra -- Lazzaro Immediata -- Antonio Leo -- Maria Teresa Mercaldo -- Martina Moccaldi -- Angela Nigro -- Canio Noce -- Sergio Pagano -- Ileana Rabuffo -- Alfonso Romano -- Marcello Sette -- Alessandro Sorgente -- Antonio Stabile -- Antonio Vecchione -- Chapter 1 The basic concepts of classical physics as a useful path towards modern physics -- 1.1 The Newton principles of dynamics -- 1.1.1 The principle of relativity and the first principle -- 1.1.2 The second principle -- 1.1.3 The third principle -- 1.2 Work and energy -- 1.2.1 The concept of work -- 1.2.2 The concept of kinetic energy -- 1.2.3 The concept of potential energy and the principle of conservation of mechanical energy -- 1.3 Angular momentum -- 1.4 Symmetries and conservation laws -- 1.5 A brief description of waves -- 1.5.1 General remarks -- 1.5.2 Mathematical description -- 1.5.3 Interference and diffraction -- 1.6 Maxwell's equations and electromagnetic waves -- 1.6.1 The integral and the differential forms of Maxwell's equations -- 1.6.2 Electromagnetic waves -- References -- Chapter 2 Transition from classical physics to quantum physics: the role of interference -- 2.1 Introduction -- 2.2 Light -- 2.2.1 Corpuscular theory -- 2.2.2 Wave theory -- 2.2.3 Classic electromagnetic theory -- 2.2.4 Quantum theory -- 2.3 Light as a wave -- 2.3.1 What is a wave? -- 2.3.2 Electromagnetic waves -- 2.3.3 Classification of electromagnetic waves -- 2.4 Electromagnetism -- 2.4.1 History -- 2.4.2 Maxwell's equations -- 2.5 Interference -- 2.6 The Michelson and Morley experiment -- 2.6.1 Conclusions. , 2.7 Gravitational interferometers -- 2.7.1 The LIGO interferometer -- 2.7.2 The VIRGO interferometer -- 2.7.3 The future of gravitational interferometers -- 2.7.4 Another use of interferometers -- References -- Chapter 3 Special relativity: an introduction -- 3.1 Kinematics and dynamics -- 3.1.1 Reference systems and events -- 3.1.2 Transformations and principles of relativity -- 3.1.3 Einstein's relativity -- 3.1.4 Some important implications -- 3.1.5 Further work -- 3.2 Relativistic field transformations -- 3.2.1 Fields transformations in special relativity -- 3.2.2 Applications -- Appendix -- A.1 Relativistic invariance of Maxwell's equations -- References -- Chapter 4 What happens to light when it passes through a prism? The early history of spectroscopy -- 4.1 Spectroscopy -- 4.1.1 The origin and development of optical spectroscopy -- 4.1.2 Refraction and dispersion -- 4.1.3 The hydrogen atom spectrum -- 4.1.4 Atomic theory -- 4.1.5 Optical spectroscopy analysis -- 4.2 Measuring the line spectra of inert gases and metal vapours using a prism spectrometer -- 4.2.1 General description of the experiment -- 4.2.2 Carrying out the experiment -- References -- Chapter 5 Electrical resistivity measurements reveal transport properties -- 5.1 Introduction -- 5.2 General considerations -- 5.3 Basic methods -- 5.3.1 The direct method -- 5.3.2 The two-point probe method -- 5.3.3 Linear four-point probes -- 5.3.4 Non-collinear probe spacing -- 5.3.5 Square array -- 5.3.6 The Delta four-point probe -- 5.3.7 The over-under probe -- 5.4 The van der Pauw method -- 5.4.1 Methods for measuring resistivity: the case of a flat sample of arbitrary shape -- 5.4.2 A method for measuring the Hall coefficient -- 5.5 Conclusions -- References -- Chapter 6 The electromagnetic theory of thermal radiation -- 6.1 Thermal radiation. , 6.2 Kirchhoff theorem: definition of a black-body -- 6.2.1 Absorption and emission coefficients -- 6.3 Proof for the Stefan-Boltzmann equation (6.7) -- 6.4 Proof of Wien's law (6.8) -- 6.4.1 Wien's displacement law -- 6.5 Planck oscillators and the Rayleigh-Jeans law -- 6.6 Planck's law -- 6.6.1 Obtaining the Stefan-Boltzmann law from Planck's formula -- 6.6.2 Special cases of Planck's law -- 6.6.3 Wien's displacement law from Planck's formula -- 6.7 Some applications -- 6.7.1 The Sun as a black-body -- 6.7.2 Luminous intensity on Earth -- 6.7.3 TRAPPIST-1 -- 6.7.4 Comparison of stars -- References -- Chapter 7 The dawn of quantum mechanics -- 7.1 Introduction -- 7.2 The photoelectric effect -- 7.3 The Compton effect -- 7.4 Atomic spectra -- 7.5 Atomic models -- 7.5.1 The Thomson model -- 7.5.2 The Rutherford model -- 7.5.3 The Bohr model -- 7.6 The Franck-Hertz experiment -- 7.7 The wave-particle duality -- 7.8 The double-slit experiment -- References -- Chapter 8 Key concepts in quantum mechanics -- 8.1 The history of quantum theory -- 8.1.1 Experiments with unexpected results -- 8.2 Novel mechanics and novel principles -- 8.2.1 Classical principles -- 8.2.2 The definition of a state -- 8.2.3 Quantum principles -- 8.3 Applications and developments -- 8.3.1 Properties of the wave function -- 8.3.2 Free particles in classical and quantum mechanics -- 8.3.3 An infinitely deep potential well -- 8.3.4 The surprises do not stop: quantum tunnelling -- 8.3.5 The harmonic oscillator: an overview -- 8.3.6 General discussion of 1D problems in quantum mechanics -- 8.4 Interpretational issues -- 8.4.1 The measurement problem and the Copenhagen interpretation -- 8.4.2 Quantum paradoxes -- 8.4.3 Alternative interpretations and 'ontology' of the state -- Appendix -- A On the continuity of the first derivative of the wave function. , B Derivation of the uncertainty relations -- References -- Chapter 9 Early attempts to make many-particle physics simple -- 9.1 Introduction -- 9.2 Kinetic theory of gases and specific heats: the classical treatment -- 9.2.1 Statistical mechanics and thermodynamics: from micro to macro -- 9.2.2 Kinetic theory of gases: a first glance -- 9.2.3 The Maxwell-Boltzmann distribution -- 9.2.4 Specific heats of gases and solids -- 9.3 Transport properties of electrons in metals -- 9.3.1 Thermal conduction in the Drude model -- 9.4 A taste of quantum statistics -- 9.4.1 Classical versus quantum statistics -- 9.4.2 Bose-Einstein statistics -- 9.4.3 Fermi-Dirac statistics -- 9.4.4 The specific heat of solids -- Appendices -- A. Derivation of equation (9.23) -- B. Derivation of equation (9.30) -- References -- Chapter 10 How to look deep inside matter: scanning electron microscopy -- 10.1 Introduction -- 10.2 Microscopy -- 10.2.1 The optical microscope and its limitations -- 10.2.2 Scanning electron microscopy -- 10.2.3 SEM components -- 10.2.4 SEM imaging -- 10.3 Compositional analysis in an electron microscope -- 10.3.1 X-ray spectroscopy -- 10.3.2 Energy dispersive x-ray spectroscopy (EDS) -- 10.3.3 Bragg reflection -- 10.3.4 Wavelength dispersive x-ray spectroscopy (WDS) -- References -- Chapter 11 The second revolution of quantum mechanics: a path for beginners from superconductivity to quantum computers -- 11.1 Introduction: the quantum world in a nutshell -- 11.2 Superconductivity: symmetry and quantum mechanics at the macroscopic scale -- 11.3 Engineering quantum bits with superconductors -- 11.4 The quantum world and quantum computers -- 11.5 A quantum algorithm -- 11.6 Exercise solutions -- References -- Chapter 12 A new quantum era: from quantum optics to quantum technologies -- 12.1 Introduction. , 12.2 Quantum optics and the quantum theory of coherence -- 12.3 Quantum computing and quantum information -- 12.4 The role of quantum optics in quantum information -- 12.5 Quantum technologies -- 12.5.1 The quantum teleportation protocol -- 12.5.2 Quantum metrology and quantum state engineering -- 12.5.3 Quantum memory -- 12.6 Conclusions and outlook -- References -- Chapter 13 The Thomson experiment: cathode rays are still hot -- 13.1 Introduction -- 13.2 History of cathode rays -- 13.3 The physics behind the experiments -- 13.4 The experimental set-up -- 13.5 How to determine the electron charge-to-mass ratio -- Acknowledgements -- Appendix -- A Helmholtz coils -- B Evaluation of the bending radius for the classical variant of the experiment -- References -- Chapter 14 The Millikan oil drop experiment -- 14.1 Introduction -- 14.2 Historical introduction -- 14.3 Description of the experiment -- 14.4 The dynamics of an oil droplet in a condenser -- 14.5 Description of the experimental apparatus -- 14.6 Measurement of the electric charge -- 14.7 The experimental procedure -- 14.8 Data analysis -- Acknowledgements -- Appendices -- A. Moving in a viscous fluid -- B. Corrections to Stokes' law -- C. The static method -- References -- Chapter 15 The Davisson-Germer experiment -- 15.1 Introduction -- 15.2 Historical introduction -- 15.3 Description of instrumentation -- 15.4 Measurement of the reticular step of graphite -- 15.4.1 Theoretical outline -- 15.4.2 Experimental part -- Acknowledgements -- Appendix -- A Relativistic approximation -- References -- Chapter 16 Current transport and light emission in semiconductors: a simple way to determine the Planck constant -- 16.1 Introduction -- 16.2 The structure of matter -- 16.3 Electrical conductivity of materials -- 16.4 Semiconductors -- 16.4.1 Doped semiconductors -- 16.4.2 P-n junctions and diodes. , 16.5 Experimental determination of the Planck constant.
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  • 2
    Publication Date: 2015-10-05
    Description: A possible mechanism for the spontaneous breaking of SUSY, based on the presence of vacuum condensates, is reviewed. Such a mechanism could occur in many physical examples, at both the fundamental and emergent levels, and would be formally analogous to spontaneous SUSY breaking at finite temperature in the TFD formalism, in which case it can be applied as well. A possible experimental setup for detecting such a breaking through measurement of the Anandan-Aharonov invariants associated with vacuum condensates in an optical lattice model is proposed.
    Print ISSN: 1687-7357
    Electronic ISSN: 1687-7365
    Topics: Physics
    Published by Hindawi
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  • 3
    Publication Date: 2017-12-13
    Description: Galaxies, Vol. 5, Pages 98: Cosmological Effects of Quantum Vacuum Condensates Galaxies doi: 10.3390/galaxies5040098 Authors: Antonio Capolupo In quantum field theory, many phenomena are characterized by a condensed structure of their vacua. Such a structure is responsible of a non trivial vacuum energy. Here we analyze disparate systems and we show that the thermal vacuum state for hot plasmas, the vacuum for boson field in curved space and the vacuum for mixed neutrinos have the state equation of dark matter, w = 0 , and values of the energy density which are in agreement with the one estimated for dark matter. Moreover, we show that the vacuum of axions mixed with photons has the state equation of the cosmological constant w = − 1 and a value of the energy density compatible with the one of dark energy.
    Electronic ISSN: 2075-4434
    Topics: Physics
    Published by MDPI
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  • 4
    Publication Date: 2013-07-17
    Description: Author(s): Antonio Capolupo and Giuseppe Vitiello The presence of noncyclic geometric invariant is revealed in all the phenomena where particle generation from vacuum or vacuum condensates appear. Aharonov-Anandan invariants then can help to study such systems and can represent a new tool to be used in order to provide laboratory evidence of phenom... [Phys. Rev. D 88, 024027] Published Tue Jul 16, 2013
    Keywords: General relativity, gravitation
    Print ISSN: 0556-2821
    Electronic ISSN: 1089-4918
    Topics: Physics
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  • 5
    Publication Date: 2013-11-21
    Description: The presence of the Aharonov-Anandan invariant in phenomena in which vacuum condensates are physically relevant can help to reveal the spontaneous supersymmetry breaking induced by condensates. The analysis is presented in the case of the Wess-Zumino model. The manifestation of the Aharonov-Anandan invariant of atoms and their superpartners, generated at nonzero temperature, could reveal the signature of SUSY violation in a recently proposed experimental setup based on an optical lattice in which SUSY is broken at non-zero temperature.
    Print ISSN: 1687-7357
    Electronic ISSN: 1687-7365
    Topics: Physics
    Published by Hindawi
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  • 6
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    American Physical Society (APS)
    Publication Date: 2011-12-28
    Description: Author(s): Antonio Capolupo [Phys. Rev. D 84, 116002] Published Tue Dec 27, 2011
    Keywords: Field theory, general methods
    Print ISSN: 0556-2821
    Electronic ISSN: 1089-4918
    Topics: Physics
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  • 7
    Publication Date: 2016-04-19
    Description: The aim of this paper is to study thermal vacuum condensate for scalar and fermion fields. We analyze the thermal states at the temperature of the cosmic microwave background (CMB) and we show that the vacuum expectation value of the energy momentum tensor density of photon fields reproduces the energy density and pressure of the CMB. We perform the computations in the formal framework of the Thermo Field Dynamics. We also consider the case of neutrinos and thermal states at the temperature of the neutrino cosmic background. Consistency with the estimated lower bound of the sum of the active neutrino masses is verified. In the boson sector, nontrivial contribution to the energy of the universe is given by particles of masses of the order of 10−4 eV compatible with the ones of the axion-like particles. The fractal self-similar structure of the thermal radiation is also discussed and related to the coherent structure of the thermal vacuum.
    Print ISSN: 1687-7357
    Electronic ISSN: 1687-7365
    Topics: Physics
    Published by Hindawi
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  • 8
    Publication Date: 2015-07-08
    Description: In our previous work the possibility to use the Aharonov-Anandan invariant as a tool in the analysis of disparate systems has been shown, including Hawking and Unruh effects, as well as graphene physics and thermal states. We show that the vacuum condensation, characterizing such systems, is also related with geometric phases and we analyze the properties of the geometric phase of systems represented by mixed state and undergoing a nonunitary evolution. In particular, we consider two-level atoms accelerated by an external potential and interacting with a thermal state. We propose the realization of Mach-Zehnder interferometers which can prove the existence of the Unruh effect and can allow very precise measurements of temperature.
    Print ISSN: 1687-7357
    Electronic ISSN: 1687-7365
    Topics: Physics
    Published by Hindawi
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