Polaritonic Vortices with a Half-Integer Charge

Nano Letters ◽  
2021 ◽  
Author(s):  
Lin Xiong ◽  
Yutao Li ◽  
Dorri Halbertal ◽  
Michael Sammon ◽  
Zhiyuan Sun ◽  
...  
Keyword(s):  
Half Integer

scholarly journals CONGRUENCES FOR ANDREWS' SMALLEST PARTS PARTITION FUNCTION AND NEW CONGRUENCES FOR DYSON'S RANK

2010 ◽  
Vol 06 (02) ◽  
pp. 281-309 ◽  
Author(s):  
F. G. GARVAN
Keyword(s):  
Partition Function ◽  
Rank Function ◽  
Maass Forms ◽  
Hecke Eigenforms ◽  
Half Integer ◽  
Integer Weight

Let spt (n) denote the total number of appearances of smallest parts in the partitions of n. Recently, Andrews showed how spt (n) is related to the second rank moment, and proved some surprising Ramanujan-type congruences mod 5, 7 and 13. We prove a generalization of these congruences using known relations between rank and crank moments. We obtain explicit Ramanujan-type congruences for spt (n) mod ℓ for ℓ = 11, 17, 19, 29, 31 and 37. Recently, Bringmann and Ono proved that Dyson's rank function has infinitely many Ramanujan-type congruences. Their proof is non-constructive and utilizes the theory of weak Maass forms. We construct two explicit nontrivial examples mod 11 using elementary congruences between rank moments and half-integer weight Hecke eigenforms.

Rotor-Encoded Heteronuclear MQ MAS NMR Spectroscopy of Half-Integer Quadrupolar and Spin I=1/2 Nuclei

2002 ◽  
Vol 154 (1) ◽  
pp. 101-129 ◽  
Author(s):  
Adonis Lupulescu ◽  
Steven P. Brown ◽  
Hans Wolfgang Spiess
Keyword(s):  
Nmr Spectroscopy ◽  
Mas Nmr ◽  
Half Integer

MECHANISMS OF FRACTIONATION OF STABLE ISOTOPES IN LIVING SYSTEMS

2021 ◽  
Author(s):  
Stepan S. Dzhimak ◽  
◽  
Anna Elkina ◽  
Alexandr A. Basov ◽  
◽  
...  
Keyword(s):  
Stable Isotopes ◽  
Exchange Interaction ◽  
Intercellular Space ◽  
Living Systems ◽  
Complete Understanding ◽  
Integer Spin ◽  
Half Integer ◽  
Physical Laws

Some physical laws are considered that provide stable fractionation of isotopes, leading to the accumulation of certain isotopic forms in the intracellular and intercellular space with the manifestation of these effects at various levels of the organism. It is suggested that for a more complete understanding of the above processes, it is necessary to study the mechanism of exchange interaction between particles with integer spin (bosons) and half-integer spin (fermions).

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