scholarly journals Generic simplicity of quantum Hamiltonian reductions

2021 ◽  
Vol 359 (6) ◽  
pp. 739-742
Author(s):  
Akaki Tikaradze
Keyword(s):  

2017 ◽  
Vol 13 (6) ◽  
pp. 551-555 ◽  
Author(s):  
Jianwei Wang ◽  
Stefano Paesani ◽  
Raffaele Santagati ◽  
Sebastian Knauer ◽  
Antonio A. Gentile ◽  
...  
Keyword(s):  


1990 ◽  
Vol 05 (15) ◽  
pp. 3029-3051 ◽  
Author(s):  
EDWARD FARHI ◽  
SAM GUTMANN

A quantum Hamiltonian, defined on the half-line, will typically not lead to unitary time evolution unless the domain of the Hamiltonian is carefully specified. Different choices of the domain result in different Green’s functions. For a wide class of non-relativistic Hamiltonians we show how to define the functional integral on the half-line in a way which matches the various Green’s functions. To do so we analytically continue, in time, functional integrals constructed with real measures that give weight to paths on the half-line according to how much time they spend near the origin.



1992 ◽  
Vol 07 (03) ◽  
pp. 267-267 ◽  
Author(s):  
Toshiya Kawai ◽  
Toshio Nakatsu
Keyword(s):  


1992 ◽  
Vol 07 (20) ◽  
pp. 4885-4898 ◽  
Author(s):  
KATSUSHI ITO

We study the quantum Hamiltonian reduction of affine Lie algebras and the free field realization of the associated W algebra. For the nonsimply laced case this reduction does not agree with the usual coset construction of the W minimal model. In particular, we find that the coset model [Formula: see text] can be obtained through the quantum Hamiltonian reduction of the affine Lie superalgebra B(0, n)(1). To show this we also construct the Feigin-Fuchs representation of affine Lie superalgebras.



1997 ◽  
Vol 185 (3) ◽  
pp. 509-541 ◽  
Author(s):  
Jens Ole Madsen ◽  
Eric Ragoucy
Keyword(s):  


2009 ◽  
Vol 79 (6) ◽  
Author(s):  
Jordan Pelc ◽  
Jiangbin Gong ◽  
Paul Brumer
Keyword(s):  


2015 ◽  
Vol 17 (2) ◽  
pp. 022005 ◽  
Author(s):  
Nathan Wiebe ◽  
Christopher Granade ◽  
D G Cory
Keyword(s):  


Symmetry ◽  
2019 ◽  
Vol 11 (8) ◽  
pp. 975
Author(s):  
Dominik Prorok ◽  
Anatolij Prykarpatski

Based on the G. Goldin’s quantum current algebra symmetry representation theory, have succeeded in explaining a hidden relationship between the quantum many-particle Hamiltonian operators, defined in the Fock space, their factorized structure and integrability. Interesting for applications quantum oscillatory Hamiltonian operators are considered, the quantum symmetries of the integrable quantum Calogero-Sutherland model are analyzed in detail.



2014 ◽  
Vol 251-252 ◽  
pp. 155-164 ◽  
Author(s):  
James P. Vary
Keyword(s):  


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