Spin and angular momentum in quaternionic quantum mechanics

• URL: http://arxiv.org/abs/2303.07583v1
• Date: Tue, 14 Mar 2023 02:03:49 GMT
• Title: Spin and angular momentum in quaternionic quantum mechanics
• Authors: Sergio Giardino
• Abstract summary: We present two novel solutions of real Hilbert state quaternionic quantum mechanics. The results may encourage experimental and theoretical investigations of the quaternionic theory.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We present two novel solutions of real Hilbert state quaternionic quantum mechanics ($\mathbb H$QM). Firstly, we observe that the angular momentum operator admits two different classes of physically non-equivalent free particles. As a second result, we study the Larmor precession to observe that it has a quaternionic solution where a novel phenomenological interpretation is possible, as well as a different of spin is possible, and these results may encourage experimental and theoretical investigations of the quaternionic theory.

Related papers

• Many-body theory of false vacuum decay in quantum spin chains [0.0]
  We develop a many-body theory describing the nucleation and the coherent dynamics of true-vacuum bubbles.<n>This bosonic theory allows us to identify different regimes in the parameter space and unravel the underlying physical mechanisms.
  arXiv  Detail & Related papers  (2025-08-19T12:29:11Z)
• Site-resolved magnon and triplon dynamics on a programmable quantum dot spin ladder [1.451379135950017]
  We use an array of germanium quantum dots to simulate the dynamics of single-spin excitations (magnons) and two-spin excitations (triplons)<n>Using these techniques, we can reconstruct quantum walk plots for both magnons and triplons, and for various configurations of Heisenberg exchange couplings.
  arXiv  Detail & Related papers  (2025-06-10T10:22:43Z)
• Einstein's Equivalence Principle in Nonrelativistic Quantum Mechanics [0.0]
  An observer in free fall in a uniform gravitational field is equivalent to an inertial observer in the absence of such a field. The transformations of the wave function are reexamined, and the conditions for the equality of inertial and gravitational mass are established. The results reaffirm the validity of the Equivalence Principle in the nonrelativistic quantum regime.
  arXiv  Detail & Related papers  (2025-02-25T22:27:56Z)
• Proposal for a Bell Test with Entangled Atoms of Different Mass [0.0]
  We propose an experimental scheme for performing a Bell test using momentum-entangled pairs of atoms with different masses. We use the metastable isotopes of helium 3He* and 4He* for their single-atom detection capabilities. The entangled state is generated by colliding these species and manipulated via two independent atom interferometers.
  arXiv  Detail & Related papers  (2024-11-13T06:00:01Z)
• Phenomenological quantum mechanics I: phenomenology of quantum observables [0.0]
  We show that it is possible to derive a complete and fully functional formalism rooted in the structures of Hilbert spaces.<n>The resulting formalism--the bi-trajectory formalism--differs significantly from the standard state-focused formulation.
  arXiv  Detail & Related papers  (2024-10-18T12:17:30Z)
• Measurement phase transitions in the no-click limit as quantum phase transitions of a non-hermitean vacuum [77.34726150561087]
  We study phase transitions occurring in the stationary state of the dynamics of integrable many-body non-Hermitian Hamiltonians. We observe that the entanglement phase transitions occurring in the stationary state have the same nature as that occurring in the vacuum of the non-hermitian Hamiltonian.
  arXiv  Detail & Related papers  (2023-01-18T09:26:02Z)
• Quantum vibrational mode in a cavity confining a massless spinor field [91.3755431537592]
  We analyse the reaction of a massless (1+1)-dimensional spinor field to the harmonic motion of one cavity wall. We demonstrate that the system is able to convert bosons into fermion pairs at the lowest perturbative order.
  arXiv  Detail & Related papers  (2022-09-12T08:21:12Z)
• Classical, quantum and event-by-event simulation of a Stern-Gerlach experiment with neutrons [0.0]
  We present a comprehensive simulation study of the Newtonian and quantum model of a Stern-Gerlach experiment with cold neutrons. For a sufficiently strong uniform magnetic field, the particle beam splits in two, exactly as in experiment and in concert with quantum theory.
  arXiv  Detail & Related papers  (2022-08-18T08:24:01Z)
• Dispersive readout of molecular spin qudits [68.8204255655161]
  We study the physics of a magnetic molecule described by a "giant" spin with multiple $d > 2$ spin states. We derive an expression for the output modes in the dispersive regime of operation. We find that the measurement of the cavity transmission allows to uniquely determine the spin state of the qudits.
  arXiv  Detail & Related papers  (2021-09-29T18:00:09Z)
• Visualizing spinon Fermi surfaces with time-dependent spectroscopy [62.997667081978825]
  We propose applying time-dependent photo-emission spectroscopy, an established tool in solid state systems, in cold atom quantum simulators. We show in exact diagonalization simulations of the one-dimensional $t-J$ model that the spinons start to populate previously unoccupied states in an effective band structure. The dependence of the spectral function on the time after the pump pulse reveals collective interactions among spinons.
  arXiv  Detail & Related papers  (2021-05-27T18:00:02Z)
• Quantum indistinguishability through exchangeable desirable gambles [69.62715388742298]
  Two particles are identical if all their intrinsic properties, such as spin and charge, are the same. Quantum mechanics is seen as a normative and algorithmic theory guiding an agent to assess her subjective beliefs represented as (coherent) sets of gambles. We show how sets of exchangeable observables (gambles) may be updated after a measurement and discuss the issue of defining entanglement for indistinguishable particle systems.
  arXiv  Detail & Related papers  (2021-05-10T13:11:59Z)
• Unraveling the topology of dissipative quantum systems [58.720142291102135]
  We discuss topology in dissipative quantum systems from the perspective of quantum trajectories. We show for a broad family of translation-invariant collapse models that the set of dark state-inducing Hamiltonians imposes a nontrivial topological structure on the space of Hamiltonians.
  arXiv  Detail & Related papers  (2020-07-12T11:26:02Z)
• Fractional quantum Hall physics and higher-order momentum correlations in a few spinful fermionic contact-interacting ultracold atoms in rotating traps [0.0]
  This paper provides benchmark results for $N$-body spin-unresolved, as well as spin-resolved, momentum correlations measurable in time-of-flight experiments with individual particle detection. The application of a small perturbing stirring potential induces, at the ensuing avoided crossings, formation of symmetry broken states exhibiting ordered polygonal-ring structures. Analysis of the calculated LLL wavefunction enables a two-dimensional generalization of the Girardeau one-dimensional 'fermionization' scheme, originally invoked for mapping of bosonic-type wave functions to those of spinless fermions.
  arXiv  Detail & Related papers  (2020-06-17T02:08:13Z)
• Observing the fate of the false vacuum with a quantum laboratory [0.0]
  We design and implement a quantum laboratory to experimentally observe and study dynamical processes of quantum field theories. This is the first time it has been possible to experimentally measure instanton processes in a freely chosen quantum field theory.
  arXiv  Detail & Related papers  (2020-06-10T18:00:05Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.