Reality from maximizing overlap in the periodic complex action theory

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Reality from maximizing overlap in the periodic complex action theory. / Nagao, Keiichi; Nielsen, Holger Bech.

I: Progress of Theoretical and Experimental Physics, Bind 2022, Nr. 9, 091B01, 18.08.2022.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Nagao, K & Nielsen, HB 2022, 'Reality from maximizing overlap in the periodic complex action theory', Progress of Theoretical and Experimental Physics, bind 2022, nr. 9, 091B01. https://doi.org/10.1093/ptep/ptac102

APA

Nagao, K., & Nielsen, H. B. (2022). Reality from maximizing overlap in the periodic complex action theory. Progress of Theoretical and Experimental Physics, 2022(9), [091B01]. https://doi.org/10.1093/ptep/ptac102

Vancouver

Nagao K, Nielsen HB. Reality from maximizing overlap in the periodic complex action theory. Progress of Theoretical and Experimental Physics. 2022 aug. 18;2022(9). 091B01. https://doi.org/10.1093/ptep/ptac102

Author

Nagao, Keiichi ; Nielsen, Holger Bech. / Reality from maximizing overlap in the periodic complex action theory. I: Progress of Theoretical and Experimental Physics. 2022 ; Bind 2022, Nr. 9.

Bibtex

@article{89b623fba3b745fda2cd559c67aec101,
title = "Reality from maximizing overlap in the periodic complex action theory",
abstract = "We study the periodic complex action theory (CAT) by imposing a periodic condition in the future-included CAT where the time integration is performed from the past to the future, and extend a normalized matrix element of an operator (O) over cap, which is called the weak value in the real action theory, to another expression (periodic time). We present two theorems stating that (periodic time) becomes real for (O) over cap being Hermitian with regard to a modified inner product that makes a given non-normal Hamiltonian (H) over cap normal. The first theorem holds for a given period t(p) in a case where the number of eigenstates having the maximal imaginary part B of the eigenvalues of (H) over cap is just one, while the second one stands for t(p) selected such that the absolute value of the transition amplitude is maximized in a case where B",
keywords = "PSEUDO-HERMITICITY, PT-SYMMETRY, FORMULATION, FUTURE",
author = "Keiichi Nagao and Nielsen, {Holger Bech}",
year = "2022",
month = aug,
day = "18",
doi = "10.1093/ptep/ptac102",
language = "English",
volume = "2022",
journal = "Progress of Theoretical Physics Supplement",
issn = "2050-3911",
publisher = "Oxford University Press",
number = "9",

}

RIS

TY - JOUR

T1 - Reality from maximizing overlap in the periodic complex action theory

AU - Nagao, Keiichi

AU - Nielsen, Holger Bech

PY - 2022/8/18

Y1 - 2022/8/18

N2 - We study the periodic complex action theory (CAT) by imposing a periodic condition in the future-included CAT where the time integration is performed from the past to the future, and extend a normalized matrix element of an operator (O) over cap, which is called the weak value in the real action theory, to another expression (periodic time). We present two theorems stating that (periodic time) becomes real for (O) over cap being Hermitian with regard to a modified inner product that makes a given non-normal Hamiltonian (H) over cap normal. The first theorem holds for a given period t(p) in a case where the number of eigenstates having the maximal imaginary part B of the eigenvalues of (H) over cap is just one, while the second one stands for t(p) selected such that the absolute value of the transition amplitude is maximized in a case where B

AB - We study the periodic complex action theory (CAT) by imposing a periodic condition in the future-included CAT where the time integration is performed from the past to the future, and extend a normalized matrix element of an operator (O) over cap, which is called the weak value in the real action theory, to another expression (periodic time). We present two theorems stating that (periodic time) becomes real for (O) over cap being Hermitian with regard to a modified inner product that makes a given non-normal Hamiltonian (H) over cap normal. The first theorem holds for a given period t(p) in a case where the number of eigenstates having the maximal imaginary part B of the eigenvalues of (H) over cap is just one, while the second one stands for t(p) selected such that the absolute value of the transition amplitude is maximized in a case where B

KW - PSEUDO-HERMITICITY

KW - PT-SYMMETRY

KW - FORMULATION

KW - FUTURE

U2 - 10.1093/ptep/ptac102

DO - 10.1093/ptep/ptac102

M3 - Journal article

VL - 2022

JO - Progress of Theoretical Physics Supplement

JF - Progress of Theoretical Physics Supplement

SN - 2050-3911

IS - 9

M1 - 091B01

ER -

ID: 317435675