scholarly journals Calculating the Pauli Matrix equivalent for Spin-1 Particles and further implementing it to calculate the Unitary Operators of the Harmonic Oscillator involving a Spin-1 System

2020 ◽  
Author(s):  
RAJDEEP TAH

Here, we derive the Pauli Matrix Equivalent for Spin-1 particles (mainly Z-Boson and W-Boson). Pauli Matrices are generally associated with Spin- 1/2 particles and it is used for determining the properties of many Spin- 1/2 particles. But in our case, we try to expand its domain and attempt to implement it for calculating the Unitary Operators of the Harmonic oscillator involving the Spin-1 system and study it.

2020 ◽  
Author(s):  
RAJDEEP TAH

The goal of this paper is to associate a Quantum Harmonic Oscillator to a Bosonic System, try to simulate it in IBMQ-Experience (at 8192 shots) and further study it. We associated the concept of Pauli Matrix equivalent to Bosonic Particles and used it to calculate the Unitary Operators which helped us to theoretically visualize each Quantum states and further simulate our system.


2016 ◽  
Vol 2016 (5) ◽  
Author(s):  
Bogdan A. Dobrescu ◽  
Patrick J. Fox
Keyword(s):  
Z Boson ◽  

1989 ◽  
Vol 04 (28) ◽  
pp. 2733-2738 ◽  
Author(s):  
ROGER DECKER ◽  
JEAN PESTIEAU

We assume that, in the SU(2)L×U(1) model, ultraviolet divergences of the charged lepton self-masses are zero. We predict the top and Higgs masses in the vicinity of the Z-boson mass. Our assumption holds only if there are no more than three generations of quarks and leptons and if quarks and leptons, except for the top quark, have negligible masses compared to the W-boson mass.


2004 ◽  
Vol 82 (10) ◽  
pp. 767-773 ◽  
Author(s):  
R D Mota ◽  
M A Xicoténcatl ◽  
V D Granados

We show that the well-known Stokes operators, defined as elements of the Jordan–Schwinger map with the Pauli matrices of two independent bosons, are equal to the constants of motion of the two-dimensional isotropic harmonic oscillator. Taking the expectation value of the Stokes operators in a two-mode coherent state, we obtain the corresponding classical Stokes parameters. We show that this classical limit of the Stokes operators, the 2 × 2 unit matrix and the Pauli matrices may be used to expand the polarization matrix. Finally, by means of the constants of motion of the classical two-dimensional isotropic harmonic oscillator, we describe the geometric properties of the polarization ellipse. Our study is restricted to the case of a monochromatic quantized-plane electromagnetic wave that propagates along the z axis.PACS Nos.: 42.50.–p, 42.25.Ja, 11.30.–j


2014 ◽  
Vol 31 ◽  
pp. 1460276
Author(s):  
Hang Yin ◽  

We present the most recent precision electroweak measurements of single W and Z boson cross section and properties from the LHC and Tevatron colliders, analyzing data collected by ATLAS, CDF, CMS, D0, and LHCb detectors. The results include the measurement of the single W and Z boson cross section at LHC, the differential cross section measurements, the measurement of W boson mass, the measurement of W and Z charge asymmetry. These measurements provide precision tests on the electroweak theory, high order predictions and the information can be used to constraint parton distribution functions.


2001 ◽  
Vol 16 (25) ◽  
pp. 4171-4188 ◽  
Author(s):  
BING AN LI

An electroweak theory without spontaneous symmetry breaking is studied in this paper. A new symmetry breaking of SU (2)L × U (1), axial-vector symmetry breaking, caused by the combination of the axial-vector component of the intermediate boson and the fermion mass is found in electroweak theory. The mass of the W boson is resulted in the combination of the axial-vector symmetry breaking and the explicit symmetry breaking by the fermion masses. The Z boson gains mass from the axial-vector symmetry breaking only. [Formula: see text], [Formula: see text], and [Formula: see text] are obtained. They are in excellent agreement with data. The SU (2)L × U (1) invariant generating functional of the Green functions is constructed and the theory is proved to be renormalizable.


2007 ◽  
Vol 51 (3) ◽  
pp. 607-617 ◽  
Author(s):  
M.W. Krasny ◽  
F. Fayette ◽  
W. Płaczek ◽  
A. Siódmok

2015 ◽  
Vol 30 (06) ◽  
pp. 1541004 ◽  
Author(s):  
Ashutosh V. Kotwal ◽  
Heidi Schellman ◽  
Jadranka Sekaric

We summarize an extensive Tevatron (1984–2011) electroweak physics program that involves a variety of W and Z boson precision measurements. The relevance of these studies using single and associated gauge boson production to our understanding of the electroweak sector, quantum chromodynamics and searches for new physics is emphasized. We discuss the importance of the W boson mass measurement, the W/Z boson distributions and asymmetries, and diboson studies. We highlight the recent Tevatron measurements and prospects for the final Tevatron measurements.


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