scholarly journals Split spin factor algebras

2021 ◽  
Author(s):  
J. McInroy ◽  
S. Shpectorov
Keyword(s):  
Spin Factor

Thermodynamic properties of charged ideal spin-1 bosons in a trap under a magnetic field

2014 ◽  
Vol 28 (26) ◽  
pp. 1450206 ◽  
Author(s):  
Yushan Li
Keyword(s):  
Magnetic Field ◽  
Critical Temperature ◽  
External Magnetic Field ◽  
Thermodynamic Properties ◽  
Bose Gases ◽  
Spin Factor ◽  
Classical Approximation ◽  
Spinless Case

Thermodynamics of trapped charged ideal spin-1 bosons confined in a magnetic field are investigated within semi-classical approximation and truncated-summation approach. It is shown that the critical temperature increases slightly at the first, and then decreases slowly with increasing external magnetic field. Charged spin-1 Bose gases present a crossover from diamagnetism to paramagnetism as the spin factor increases. Charged spin-1 Bose gases exhibit distinct thermodynamic behaviors from the spinless case.

scholarly journals BOSE–FERMI EQUIVALENCE IN THREE-DIMENSIONAL NONCOMMUTATIVE SPACETIME

2008 ◽  
Vol 23 (35) ◽  
pp. 3015-3022
Author(s):  
K. M. AJITH ◽  
E. HARIKUMAR ◽  
M. SIVAKUMAR
Keyword(s):  
Partition Function ◽  
Gauge Field ◽  
Three Dimensional ◽  
Coupling Constant ◽  
Spin Factor ◽  
Noncommutative Spacetime ◽  
Chern Simons

We study the fermionisation of Seiberg–Witten mapped action (to order θ) of the λϕ4 theory coupled minimally with U(1) gauge field governed by Chern–Simons action. Starting from the corresponding partition function we derive nonperturbatively (in coupling constant) the partition function of the spin-1/2 theory following Polyakov spin factor formalism. We find that the dual interacting fermionic theory is nonlocal. This feature also persists in the limit of vanishing self-coupling. In θ → 0 limit, the commutative result is obtained.

The spin factor in knots and a relativistic treatment of the Bose-Fermi trasmutation in second-quantized theories

1990 ◽  
Vol 346 (2-3) ◽  
pp. 293-312 ◽  
Author(s):  
Satoshi Iso ◽  
Chigak Itoi ◽  
Hisamitsu Mukaida
Keyword(s):  
Spin Factor ◽  
Relativistic Treatment

scholarly journals Fixed points and periodic points of semiflows of holomorphic maps

2003 ◽  
Vol 2003 (4) ◽  
pp. 217-260
Author(s):  
Edoardo Vesentini
Keyword(s):  
Banach Space ◽  
Fixed Points ◽  
Complex Banach Space ◽  
Periodic Points ◽  
General Question ◽  
Open Unit ◽  
Holomorphic Maps ◽  
Open Unit Ball ◽  
Spin Factor ◽  
Cartan Factor

Letϕbe a semiflow of holomorphic maps of a bounded domainDin a complex Banach space. The general question arises under which conditions the existence of a periodic orbit ofϕimplies thatϕitself is periodic. An answer is provided, in the first part of this paper, in the case in whichDis the open unit ball of aJ∗-algebra andϕacts isometrically. More precise results are provided when theJ∗-algebra is a Cartan factor of type one or a spin factor. The second part of this paper deals essentially with the discrete semiflowϕgenerated by the iterates of a holomorphic map. It investigates how the existence of fixed points determines the asymptotic behaviour of the semiflow. Some of these results are extended to continuous semiflows.

Wind Tunnel Investigations on Rotating Blades of Aerofoil Section

1952 ◽  
Vol 166 (1) ◽  
pp. 419-428 ◽  
Author(s):  
K. H. Khalil
Keyword(s):  
Wind Tunnel ◽  
Direct Observation ◽  
Wind Tunnels ◽  
Test Results ◽  
Static Tests ◽  
Rotating Blades ◽  
Spin Factor ◽  
Pressure Distributions ◽  
Static Conditions ◽  
Experimental Difficulty

The results are presented in this paper of investigations on the pressure distributions around aerofoil section blades while rotating in a wind tunnel. The experimental difficulty of obtaining pressures during rotation was overcome by the use of a special gauge attached to the hubs and illuminated by “Strobo-flood” for direct observation. Pressure diagrams and lift coefficients were obtained along the radius of a double-blade set, arranged as a windmill, for various angles of incidence. Static tests were conducted also in all cases to find values for comparison. As the purpose of the work was to contrast rotating and static conditions, two main facts are emphasized: the similarity in the pressure diagram shapes and the significance of the spin factor. It therefore becomes possible to correct ordinary test results obtained when using stationary aerofoil blades in wind tunnels by adding the effect of a vortex of rotation of uniform strength.

Polyakov spin factor and global anomaly

1992 ◽  
Vol 275 (3-4) ◽  
pp. 375-380 ◽  
Author(s):  
G.P. Korchemsky
Keyword(s):  
Spin Factor ◽  
Global Anomaly
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