Cited by 1,490Quantum Mechanics and Non-Hermitian PhysicsQuantum Mechanics and ApplicationsSpectral Theory in Mathematical Physics

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Non-Hermitian Quantum Mechanics

Moiseyev, Nimrod·2011·Cambridge University Press eBooks

DOI 10.1017/cbo9780511976186

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Abstract

Non-Hermitian quantum mechanics (NHQM) is an important alternative to the standard (Hermitian) formalism of quantum mechanics, enabling the solution of otherwise difficult problems. The first book to present this theory, it is useful to advanced graduate students and researchers in physics, chemistry and engineering. NHQM provides powerful numerical and analytical tools for the study of resonance phenomena - perhaps one of the most striking events in nature. It is especially useful for problems whose solutions cause extreme difficulties within the structure of a conventional Hermitian framework. NHQM has applications in a variety of fields, including optics, where the refractive index is complex; quantum field theory, where the parity-time (PT) symmetry properties of the Hamiltonian are investigated; and atomic and molecular physics and electrical engineering, where complex potentials are introduced to simplify numerical calculations.

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Authors: Moiseyev, N.
Affiliations: Technion – Israel Institute of Technology (IL)
Corresponding author: Moiseyev, Nimrod
ORCID: Moiseyev, Nimrod
Venue: Cambridge University Press eBooks
Publisher: Cambridge University Press
Published: 2011-02-17
DOI: 10.1017/cbo9780511976186
OpenAlex: W1649271673
Cited by: 1,490
References: 0
Citations by year: 2026: 77 · 2025: 109 · 2024: 100 · 2023: 104 · 2022: 139 · 2021: 111 · 2020: 154 · 2019: 153 · 2018: 116 · 2017: 101 · 2016: 77 · 2015: 80 · 2014: 48 · 2013: 63 · 2012: 34
FWCI: 12.63
Type: book
Language: en
Open access: closed
Licence: www.cambridge.org/core/terms (unspecified, 75 d)
Locations: Cambridge University Press eBooks (publishedVersion)
CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
Topics: Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Non-Hermitian Physics
Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
Physical Sciences › Mathematics › Mathematical Physics › Spectral Theory in Mathematical Physics
Keywords: non-Hermitian quantum mechanics, complex potentials, resonance, PT symmetry, PT-symmetric Hamiltonians, complex refractive index, complex Hamiltonian, non-Hermitian photonics, quantum field theory, atomic and molecular physics

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Non-Hermitian Quantum Mechanics

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