Zobrazeno 1 - 10
of 3 811
pro vyhledávání: '"rigged Hilbert space"'
Autor:
Ohmori, Shousuke
The discussion in this study delves into Dirac's bra-ket formalism for a quasi-Hermitian quantum composite system based on the rigged Hilbert space (RHS). We establish an RHS with a positive definite metric suitable for a quasi-Hermite composite syst
Externí odkaz:
http://arxiv.org/abs/2405.02848
Autor:
Ohmori, S., Takahashi, J.
This study discussed Dirac's bra-ket formalism for the identical particles system to extend the rigged Hilbert space reformulated by R. Madrid [J. Phys. A:Math. Gen. 37, 8129 (2004)]. The bra and ket vectors for a composite system that form the basis
Externí odkaz:
http://arxiv.org/abs/2403.00234
Akademický článek
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Autor:
Ohmori, Shousuke, Takahashi, Junichi
Publikováno v:
J. Math. Phys. 63, 123503 (2022)
We investigate Dirac's bra-ket formalism based on a rigged Hilbert space for a non-Hermite quantum system with a positive-definite metric. First, the rigged Hilbert space, characterized by positive-definite metric, is established. With the aid of the
Externí odkaz:
http://arxiv.org/abs/2209.01598
Autor:
Boudi, Nadia, Ennadifi, Zakariae
Publikováno v:
In Reports on Mathematical Physics April 2023 91(2):199-217
Autor:
Boudi, Nadia, Ennadifi, Zakariae *
Publikováno v:
In Reports on Mathematical Physics April 2021 87(2):145-166
Autor:
Marcucci, Giulia, Conti, Claudio
Publikováno v:
Phys. Rev. A 94, 052136 (2016)
It is well known that a state with complex energy cannot be the eigenstate of a self-adjoint operator, like the Hamiltonian. Resonances, i.e. states with exponentially decaying observables, are not vectors belonging to the conventional Hilbert space.
Externí odkaz:
http://arxiv.org/abs/1607.08109
Autor:
de la Madrid, Rafael
Publikováno v:
J. Math. Phys. 53, 102113 (2012)
We use the resonances of the spherical shell potential to present a thorough description of the Gamow (quasinormal) states within the rigged Hilbert space. It will be concluded that the natural setting for the Gamow states is a rigged Hilbert space w
Externí odkaz:
http://arxiv.org/abs/1210.3570
Autor:
de la Madrid, R.
Publikováno v:
J. Phys. A: Math. Gen. 39 (2006) 3949-3979
We exemplify the way the rigged Hilbert space deals with the Lippmann-Schwinger equation by way of the spherical shell potential. We explicitly construct the Lippmann-Schwinger bras and kets along with their energy representation, their time evolutio
Externí odkaz:
http://arxiv.org/abs/quant-ph/0603176
Autor:
Bishop, Robert C.
Arno Bohm and Ilya Prigogine's Brussels-Austin Group have been working on the quantum mechanical arrow of time and irreversibility in rigged Hilbert space quantum mechanics. A crucial notion in Bohm's approach is the so-called preparation/registratio
Externí odkaz:
http://arxiv.org/abs/quant-ph/0506184