scholarly journals Note on Green Functions in the Inequivalent Representations

1980 ◽  
Vol 64 (5) ◽  
pp. 1878-1881 ◽  
Author(s):  
S. Aramaki ◽  
Y. Ikeda
Keyword(s):  
Green Functions ◽  
Inequivalent Representations

scholarly journals Bulk-Boundary Correspondence for Non-Hermitian Hamiltonians via Green Functions

2021 ◽  
Vol 126 (21) ◽  
Author(s):  
Heinrich-Gregor Zirnstein ◽  
Gil Refael ◽  
Bernd Rosenow
Keyword(s):  
Green Functions ◽  
Boundary Correspondence

Green functions for confined quarks

1976 ◽  
Vol 109 (3) ◽  
pp. 421-438 ◽  
Author(s):  
C.J. Hamer
Keyword(s):  
Green Functions

scholarly journals Levinson-type inequalities via new Green functions and Montgomery identity

2020 ◽  
Vol 18 (1) ◽  
pp. 632-652 ◽  
Author(s):  
Muhammad Adeel ◽  
Khuram Ali Khan ◽  
Ðilda Pečarić ◽  
Josip Pečarić
Keyword(s):  
Convex Functions ◽  
Green Functions ◽  
Montgomery Identity ◽  
Data Points

Abstract In this study, Levinson-type inequalities are generalized by using new Green functions and Montgomery identity for the class of k-convex functions (k ≥ 3). Čebyšev-, Grüss- and Ostrowski-type new bounds are found for the functionals involving data points of two types. Moreover, a new functional is introduced based on {\mathfrak{f}} divergence and then some estimates for new functional are obtained. Some inequalities for Shannon entropies are obtained too.

scholarly journals Singular Bogoliubov transformations and inequivalent representations of canonical commutation relations

2019 ◽  
Vol 31 (08) ◽  
pp. 1950026 ◽  
Author(s):  
Asao Arai
Keyword(s):  
Fock Space ◽  
Sufficient Conditions ◽  
Bogoliubov Transformation ◽  
Fock Representation ◽  
Canonical Commutation Relations ◽  
Commutation Relations ◽  
Direct Sum ◽  
Boson Fock Space ◽  
Inequivalent Representations ◽  
Bogoliubov Transformations

We introduce a concept of singular Bogoliubov transformation on the abstract boson Fock space and construct a representation of canonical commutation relations (CCRs) which is inequivalent to any direct sum of the Fock representation. Sufficient conditions for the representation to be irreducible are formulated. Moreover, an example of such representations of CCRs is given.

scholarly journals Theory of Green functions of free Dirac fermions in graphene

2016 ◽  
Vol 7 (1) ◽  
pp. 015013
Author(s):  
Van Hieu Nguyen ◽  
Bich Ha Nguyen ◽  
Ngoc Dung Dinh
Keyword(s):  
Green Functions ◽  
Dirac Fermions

Green functions of scalar particles in stochastic fields

1989 ◽  
Vol 28 (12) ◽  
pp. 1463-1482 ◽  
Author(s):  
M. Dineykhan ◽  
G. V. Efimov ◽  
Kh. Namsrai
Keyword(s):  
Green Functions ◽  
Scalar Particles ◽  
Stochastic Fields
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