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Title of Journal: Nuovo Cim

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Abbravation: Il Nuovo Cimento (1955-1965)

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Società Italiana di Fisica

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DOI

10.1002/jcp.25260

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1827-6121

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« Ambiguity » of harmonicoscillator commutation r

Authors: D G Boulware S Deser
Publish Date: 2007/11/19
Volume: 30, Issue: 1, Pages: 230-234
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Abstract

The possibility first noticed by Wigner that the form of the Hamiltonian together with the Heisenberg equations do not imply canonical commutation relations for the harmonic oscillator variables is reexamined here It is shown that this freedom of commutation relations just expresses the known possibility of quantizing the system by Bose or Fermi and paraFermi statistics and of altering the zeropoint energySi esamina nuovamente qui la possibilità riscontrata per primo da Wignee che la forma dell’hamiltoniano assieme alle equazioni di Heisenberg non implichino relazioni di commutazione canoniche per le variabili dell’oscillatore armonico Si dimostra che questa libertà delle relazioni di commutazione esprime proprio la possibilità di quantizzare il sistema con la statistica di Bose o di Fermi e paraFermi e di alterare l’energia di punto zero

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Other Papers In This Journal:
  1. Bound states, shadow states and mandelstam representation
  2. Effects of phonon pulses on the energy gap in a superconductor
  3. The renormalization of Dirac-Maxwell equations
  4. Remarks on the generators of the SU 3 group
  5. On l -forbidden M 1 transitions
  6. Determination of the ultrasonic absorption coefficient in liquids by the thermal method
  7. On a quadrilinear K 2 -π 2 coupling
  8. Large-angle cross-sections p+p→A+B and π+p→A+B at high energies predicted by the statistical model
  9. The equilibrium phase transition in liquid helium
  10. The range in G5 nuclear emulsion of protons with energies 87, 118 and 146 MeV
  11. The grain-density of emulsion tracks
  12. Muon capture in certain light nuclei
  13. A novel approach to elementary scattering theory
  14. Compound-nucleus radiative capture cross-section in the mev energy-range and nuclear-level density
  15. Sur le calcul des constantes vibrationnelles de l’oxyde azoteux
  16. Polarization effects in bremsstrahlung
  17. A renormalized, ghost-free lee model
  18. Investigation of the possibility of a π-λ resonance in the case of different parities of λ and ɛ
  19. The high-energy muon flux at sea level obtained from an observation of the burst-size spectrum
  20. $$\bar K - \mathcal{N}$$ scattering in the mandelstam representationscattering in the mandelstam representation
  21. 232 Th and 238 U fission induced by low-energy monochromatic γ-rays
  22. Representations of the Poincaré group associated to complex energy-momentum
  23. Representations of the Poincaré group associated to complex energy-momentum
  24. On the measurements of ionization in nuclear plates
  25. On the energy and pulse spectra of a fast ionization chamber
  26. The scattering of photons by photons
  27. On a new approach to alpha-decay and its application to the angular correlation of the decay $${}^{233}U\mathop \to \limits_\alpha {}^{229}Th\mathop \to \limits_\gamma {}^{229}Th$$
  28. Measurements on the cosmic radiation intensity in the mont blanc tunnel
  29. Energy-momentum transfers in high-energy nuclear collisions
  30. Multiple small angle scattering of waves by an inhomogeneous medium
  31. Effacement des alpha dans les plaques ilford C 2
  32. K meson exposures in water-soaked emulsions
  33. Mass-spectroscopic atomic mass differences
  34. Spin-orbit potential in pseudoscalar theory
  35. Remarks on triplet models in SU 3 symmetry
  36. The behavior of finite particles in conformal-covariant weak field theory
  37. Pion-hyperon scattering
  38. Cloud chamber study of cosmic ray electronic showers under dense materials (II)
  39. A formalism for parity-nonconserving reactions. — I
  40. A correlation between the emission of white light and cosmic radiation by a solar flare
  41. Complex angular momentum and energy in three-particle amplitudes
  42. Large spin propagators and their ambiguity
  43. Search for the photoproduction of the η 0 -Meson
  44. Macroscopic motion of classical spinning particles
  45. Intensity distribution of high energy pions in the atmosphere
  46. On the existence and the unitary property of the scattering operator
  47. Approximation of velocity-dependent potentials by separable kernels
  48. Equivalence among fermion symmetry-multiplets and choice of the symmetry group for strong interactions
  49. Angular distributions of protons emitted in 24 Mg (n, p) and 32 S (n, p) reactions at 14 MeV
  50. Energy determination from the angular distribution of the secondary shower particles
  51. Analisi fotometrica delle tracce nelle emulsioni nucleari I. — Dispositivo sperimentale
  52. The energy dependence of meson multiplicity in the high-energy interactions
  53. On the mechanism of the pinch effect
  54. Matter and anti-matter
  55. Désintégrations des noyaux légers de l’émulsion nucléaire par des mésons π - lents
  56. Investigations of bremsstrahlung of electrons in the energy interval (10 11 ÷ 10 12 ) eV
  57. Lagrangian theory for neutral massive spin-2 fields
  58. Mesure de l’énergie des paires d’électrons de plus de 1 GeV dans les émulsions nucléaires
  59. The high-energy limit of the statistical model
  60. Lorentz transformations of thermodynamic quantities
  61. Effect of nuclear magnetic moment on the bremsstrahlung of electrons
  62. On the trapping of Λ 0 -hyperons following the absorptions at rest of Σ − -hyperons in emulsion nuclei
  63. On the trident cross-section between 1 and 10 GeV
  64. Singular integral equations in quantum field theory
  65. Singular integral equations in quantum field theory
  66. Multiple-pion production by high-energy muons
  67. K + -deuterium inelastic and exchange scattering. — II
  68. A technique for eliminating the variation of mass with velocity in relativistic problems
  69. Requirements of self-consistency in quantum field theories
  70. Unitarity of the S -matrix and analyticity — I
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