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4 results

  • 2 - How Fields Generate Particles

  • from Part I - A Nonmathematical Exposition of Quantum Mechanics and Quantum Field Theory
  • David W. Snoke, University of Pittsburgh
  • Book:
    Interpreting Quantum Mechanics
    Published online:
    09 May 2024
    Print publication:
    16 May 2024, pp 18-34

  • Summary

    This chapter shows how particles arise naturally as an effect of waves, known as “resonance,” and that the particle concept, properly understood, is not somehow incompatible with the existence of waves. The definitions of “fermion” and “boson” fields, often associated with “matter” and “energy” particles, are introduced. The solidness of objects in our experience is a direct consequence of fermion wave properties.

  • A note on weight systems which are quantum states

  • Part of
  • Carlo Collari
  • Journal:
    Canadian Mathematical Bulletin / Volume 66 / Issue 4 / December 2023
    Published online by Cambridge University Press:
    09 March 2023, pp. 1109-1121
    Print publication:
    December 2023
    • Article
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      • Open access
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  • A result of Corfield, Sati, and Schreiber asserts that $\mathfrak {gl}_{n}$-weight systems associated with the defining representation are quantum states. In this short note, we extend this result to all $\mathfrak {gl}_{n}$-weight systems corresponding to labeling by symmetric and exterior powers of the defining representation.

  • 2 - Quantum Mechanics

  • Juan José García Ripoll
  • Book:
    Quantum Information and Quantum Optics with Superconducting Circuits
    Published online:
    04 August 2022
    Print publication:
    18 August 2022, pp 7-18

  • Summary

    In this chapter, we review basic concepts from quantum mechanics that will be required for the study of superconducting quantum circuits. We review the fundamental idea of energy quantization and how this can be formalized, using Dirac's ideas, to develop a quantum mechanical description that is consistent with the classical theory for a comparable object. We review the notions of quantum state, observable and projective and generalized measurements, particularizing some of these ideas to the simple case of a two-dimensional object or qubit.

  • TRANSFORMATIONS ON DENSITY OPERATORS PRESERVING GENERALISED ENTROPY OF A CONVEX COMBINATION

  • Part of
  • MARCELL GAÁL, GERGŐ NAGY
  • Journal:
    Bulletin of the Australian Mathematical Society / Volume 98 / Issue 1 / August 2018
    Published online by Cambridge University Press:
    03 May 2018, pp. 102-108
    Print publication:
    August 2018
    • Article
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  • We aim to characterise those transformations on the set of density operators (which are the mathematical representatives of the states in quantum information theory) that preserve a so-called generalised entropy of one fixed convex combination of operators. The characterisation strengthens a recent result of Karder and Petek where the preservation of the same quantity was assumed for all convex combinations.