scholarly journals Quantum speed limit for a relativistic electron in the noncommutative phase space

2017 ◽  
Vol 32 (23n24) ◽  
pp. 1750143 ◽  
Author(s):  
Kang Wang ◽  
Yu-Fei Zhang ◽  
Qing Wang ◽  
Zheng-Wen Long ◽  
Jian Jing
Keyword(s):  
Relativistic Electron ◽  
Uniform Magnetic Field ◽  
Lorentz Invariance ◽  
Relativistic Quantum ◽  
Quantum Mechanical ◽  
Speed Limit ◽  
Speed Of Light ◽  
Minimum Evolution ◽  
Noncommutative Phase Space ◽  
Average Speed

The influence of the noncommutativity on the average speed of a relativistic electron interacting with a uniform magnetic field within the minimum evolution time is investigated. We find that it is possible for the wave packet of the electron to travel faster than the speed of light in vacuum because of the noncommutativity. It is a clear signature of violating Lorentz invariance in the noncommutative relativistic quantum mechanical region.

scholarly journals Quantum Speed Limit for Relativistic Spin-0 and Spin-1 Bosons on Commutative and Noncommutative Planes

2017 ◽  
Vol 2017 ◽  
pp. 1-9 ◽  
Author(s):  
Kang Wang ◽  
Yu-Fei Zhang ◽  
Qing Wang ◽  
Zheng-Wen Long ◽  
Jian Jing
Keyword(s):  
Magnetic Field ◽  
Lorentz Invariance ◽  
Wave Packets ◽  
Relativistic Quantum ◽  
Homogeneous Magnetic Field ◽  
Relativistic Quantum Mechanics ◽  
Speed Of Light ◽  
Initial State ◽  
The Magnetic Field ◽  
Noncommutative Plane

Quantum speed limits of relativistic charged spin-0 and spin-1 bosons in the background of a homogeneous magnetic field are studied on both commutative and noncommutative planes. We show that, on the commutative plane, the average speeds of wave packets along the radial direction during the interval in which a quantum state is evolving from an initial state to the orthogonal final one can not exceed the speed of light, regardless of the intensities of the magnetic field. However, due to the noncommutativity, the average speeds of the wave packets on noncommutative plane will exceed the speed of light in vacuum provided the intensity of the magnetic field is strong enough. It is a clear signature of violating Lorentz invariance in the relativistic quantum mechanics region.

ON A RESULT CONCERNING THE BEHAVIOR OF A RELATIVISTIC QUANTUM SYSTEM IN THE COSMIC STRING SPACETIME

2009 ◽  
Vol 24 (08n09) ◽  
pp. 1549-1556 ◽  
Author(s):  
V. B. BEZERRA ◽  
GEUSA DE A. MARQUES
Keyword(s):  
Magnetic Field ◽  
Energy Spectrum ◽  
Dirac Equation ◽  
Quantum System ◽  
Relativistic Electron ◽  
Coulomb Potential ◽  
Cosmic String ◽  
Relativistic Quantum

We consider the problem of a relativistic electron in the presence of a Coulomb potential and a magnetic field in the background spacetime corresponding to a cosmic string. We find the solution of the corresponding Dirac equation and determine the energy spectrum of the particle.

scholarly journals Pelanggaran Kecepatan Kendaraan pada Ruas Jalan Tol Cipularang. (Hal. 39-49)

2019 ◽  
Vol 5 (1) ◽  
pp. 39
Author(s):  
Rizki Intan Mauliza ◽  
Tania Bonita Sabrina ◽  
Wahyu Maulana
Keyword(s):  
Search Method ◽  
Primary Data ◽  
Maximum Speed ◽  
Speed Limit ◽  
Toll Roads ◽  
Passenger Cars ◽  
Passenger Car ◽  
Average Speed ◽  
Toll Road ◽  
Road Speed

ABSTRAKSalah satu faktor penyebab kecelakaan yang signifikan adalah tidak sesuainya kecepatan kendaraan dengan kondisi jalan, lingkungan dan kegiatan, dalam hal ini adalah kecepatan yang terlalu tinggi. Jalan tol/jalan bebas hambatan merupakan salah satu jalan yang berpotensi memiliki banyak pelanggaran dalam kecepatan kendaraan. Batasan kecepatan jalan tol telah di atur dalam PM Hub 111/2015 yaitu 40 km/jam untuk tol dalam kota dan 60 km/jam - 100 km/jam untuk tol luar kota. Untuk memastikan kecepatan rata-rata kendaraan dan menentukan tingkat pelanggaran kendaraan yang melintasi ruas jalan tol Cipularang maka penelitian menggunakan metode pengumpulan data primer/pengamatan secara langsung. Hasil analisis secara keseluruhan didapatkan bahwa rata-rata kecepatan kendaraan mobil penumpang sebesar 88 km/jam, truk 62 km/jam dan bus 72 km/jam dengan persentasi kecepatan rata-rata untuk mobil penumpang, truk dan bus berturut-turut sebesar 43%, 5% dan 22%. Hal ini menunjukan terdapat pelanggaran batas kecepatan maksimum untuk kendaraan mobil penumpang dengan prosentase yang tinggi (lebih dari 30%) atau kecepatan rata-rata lebih dari 80 km/jam.Kata kunci: kecelakaan, batas kecepatan, jalan tol ABSTRACTOne factors of a significant accident is not according to the speed of the vehicle with the environment, environment and activities, in this case the speed is too high. Toll road / freeway is one of the roads that has many roads in the vehicle. The toll road speed limit has been set in PM Hub 111/2015, which is 40 km/hour  for city tolls and 60 km/hour  100 km/hour for out-of-city toll roads. To determine the average speed of a vehicle and determine the level of the vehicle passing through the Cipularang toll road, the study uses the primary data / direct search method. The overall analysis results are obtained that the average speed of passenger car vehicles is 88 km/hour, trucks 62 km/hour and buses 72 km/hour with the percentage of average speed for passenger cars, trucks and buses being helped-along by 43%, 5% and 22%. This shows the maximum speed limit for passenger car vehicles with a higher percentage (more than 30%) or an average speed of more than 80 km/hour.Keywords: accidents, speed limits, toll roads

scholarly journals Decrypting the Central Mystery of Quantum Mathematics:

2019 ◽  
Vol 17 ◽  
pp. 315-331
Author(s):  
Jeffrey Boyd
Keyword(s):  
Quantum Mechanical ◽  
Entangled Photons ◽  
Test Results ◽  
Speed Of Light ◽  
Test Experiment ◽  
The World ◽  
Realistic View ◽  
Non Local ◽  
Elementary Waves ◽  
Photon Source

The fact that loophole-free Bell test experiments have proved Einstein’s local realism wrong, does not prove that the quantum mechanical (QM) model is correct, because the Theory of Elementary Waves (TEW) Axioms can also explain the Bell test experiments. Bi-Rays are a pair of coaxial elementary rays traveling at the speed of light in countervailing directions. In a Bell test experiment a Bi-Ray stretches from Alice’s equipment, through the fiberoptic cable, across the 2-photon source, through more fiberoptic cable, to Bob’s equipment. A pair of entangled photons is born into that Bi-Ray. Each photon follows the same Bi-Ray in opposite directions. This model produces the same Bell test results found by QM. According to QM this would be classified as a “non-local” model, so it is no surprise that it can explain the Bell test results. But it is a different model than QM. TEW supports a more realistic view of Nature, based on better Axioms. Although QM can explain quantum experiments, it requires that you believe the quantum world is weird. TEW Axioms explain the quantum world in a way that is more intuitively similar to the world of everyday experience.

scholarly journals Nonlinear Generalisation of Quantum Mechanics

2021 ◽  
Author(s):  
Alireza Jamali
Keyword(s):  
Hilbert Space ◽  
Quantum Mechanics ◽  
Lorentz Invariance ◽  
Current Theory ◽  
Quantum Mechanical ◽  
Dynamical Condition ◽  
Current Definition ◽  
Klein Gordon ◽  
Definition Of ◽  
Mechanical Momentum

It is known since Madelung that the Schrödinger equation can be thought of as governing the evolution of an incompressible fluid, but the current theory fails to mathematically express this incompressibility in terms of the wavefunction without facing problem. In this paper after showing that the current definition of quantum-mechanical momentum as a linear operator is neither the most general nor a necessary result of the de Broglie hypothesis, a new definition is proposed that can yield both a meaningful mathematical condition for the incompressibility of the Madelung fluid, and nonlinear generalisations of Schrödinger and Klein-Gordon equations. The derived equations satisfy all conditions that are expected from a proper generalisation: simplification to their linear counterparts by a well-defined dynamical condition; Galilean and Lorentz invariance (respectively); and signifying only rays in the Hilbert space.

Wave Function Collapse as a Real Physical Phenomenon Caused by Vacuum Fluctuations Near the Planck Scale

1991 ◽  
Vol 46 (9) ◽  
pp. 746-758 ◽  
Author(s):  
F. Winterberg
Keyword(s):  
Wave Function ◽  
Phase Velocity ◽  
Lorentz Invariance ◽  
Physical Phenomenon ◽  
Planck Scale ◽  
Quantum Mechanical ◽  
Vacuum Fluctuations ◽  
Gauge Bosons ◽  
Proposed Model ◽  
Wave Modes

AbstractIt is hypothesized that the collapse of the wave function is a real physical phenomenon caused by vacuum fluctuations near the Planck scale. The hypothesis is suggested by a recently proposed model (Planck aether model) according to which the fundamental kinematic symmetry is the Galilei-group with the Lorentz invariance as a derived dynamic symmetry. The proposed model has the goal to derive all fields and their interactions from an exactly nonrelativistic operator field equation, resembling Heisenberg's relativistic spinor field equation. In this model the groundstate of the vacuum is a superfluid consisting of an equal number of positive and negative Planck masses interacting via delta function potentials and making the cosmological constant equal to zero. Gauge bosons come from transverse waves propagating in a lattice of quantized vortices, and spinors are explained in this model as exciton-like quasiparticles held together by gauge bosons. Because vector gauge bosons move in the model with the velocity of light, objects held together by the forcc fields of these bosons obey Lorentz invariance as a dynamic symmetry. With the longitudinal wave modes moving with a superluminal phase velocity at energies near the Planck scale, it is conjectured that the quantum mechanical wave function is real and that its collapse results from the entrapment of the wave function by these longitudinal superluminal wave modes. Because these modes occur near the Planck scale their very large zero point fluctuations might therefore trigger the collapse even through dense matter. But because the fluctuations are finite, and because the wave modes have a finite albeit very large phase velocity, the quantum mechanical correlations would be broken above a ccrtain finite length. In the limit of a vanishing Planck length, and hence vanishing gravitational constant G, the phase velocity would become infinite, and the same would be true for the length above which the correlations are broken. One therefore may say that in the limit G = 0 the collapse is infinitely fast and that in this limit the correlations are not broken even over arbitrarily large distances

scholarly journals The Einstein–Infeld–Hoffmann legacy in mathematical relativity II. Quantum laws of motion for singularities of spacetime

2019 ◽  
Vol 28 (11) ◽  
pp. 1930018
Author(s):  
A. Shadi Tahvildar-Zadeh ◽  
Michael K. H. Kiessling
Keyword(s):  
Finite Number ◽  
Relativistic Quantum ◽  
Quantum Mechanical ◽  
Mechanical Theory ◽  
Quantum Mechanical Theory ◽  
Theory Of Motion ◽  
Recent Developments ◽  
Laws Of Motion

We report on recent developments toward a relativistic quantum-mechanical theory of motion for a fixed, finite number of electrons, photons and their anti-particles, as well as its possible generalizations to other particles and interactions.

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