π-TYPE FERMIONS AND π-TYPE KP HIERARCHY
Glasgow mathematical journal, Tome 61 (2019) no. 3, pp. 601-613
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In this paper, we first construct π-type Fermions. According to these, we define π-type Boson–Fermion correspondence which is a generalization of the classical Boson–Fermion correspondence. We can obtain π-type symmetric functions Sλπ from the π-type Boson–Fermion correspondence, analogously to the way we get the Schur functions Sλ from the classical Boson–Fermion correspondence (which is the same thing as the Jacobi–Trudi formula). Then as a generalization of KP hierarchy, we construct the π-type KP hierarchy and obtain its tau functions.
WANG, NA; LI, CHUANZHONG. π-TYPE FERMIONS AND π-TYPE KP HIERARCHY. Glasgow mathematical journal, Tome 61 (2019) no. 3, pp. 601-613. doi: 10.1017/S0017089518000381
@article{10_1017_S0017089518000381,
author = {WANG, NA and LI, CHUANZHONG},
title = {\ensuremath{\pi}-TYPE {FERMIONS} {AND} {\ensuremath{\pi}-TYPE} {KP} {HIERARCHY}},
journal = {Glasgow mathematical journal},
pages = {601--613},
year = {2019},
volume = {61},
number = {3},
doi = {10.1017/S0017089518000381},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089518000381/}
}
TY - JOUR AU - WANG, NA AU - LI, CHUANZHONG TI - π-TYPE FERMIONS AND π-TYPE KP HIERARCHY JO - Glasgow mathematical journal PY - 2019 SP - 601 EP - 613 VL - 61 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089518000381/ DO - 10.1017/S0017089518000381 ID - 10_1017_S0017089518000381 ER -
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