Last edited by Yozshuzuru

Wednesday, July 15, 2020 | History

3 edition of **Non-Hermitian quantum mechanics** found in the catalog.

- 42 Want to read
- 10 Currently reading

Published
**2011**
by Cambridge University Press in Cambridge, New York
.

Written in English

- Mathematics,
- Hermitian symmetric spaces,
- Resonance,
- Quantum theory,
- SCIENCE / Quantum Theory,
- Hermitian structures

**Edition Notes**

Includes bibliographical references and index.

Statement | Nimrod Moiseyev |

Classifications | |
---|---|

LC Classifications | QC174.17.M35 M65 2011 |

The Physical Object | |

Pagination | xiii, 394 p. : |

Number of Pages | 394 |

ID Numbers | |

Open Library | OL25562415M |

ISBN 10 | 0521889723 |

ISBN 10 | 9780521889728 |

LC Control Number | 2010040292 |

OCLC/WorldCa | 663441414 |

List of textbooks on classical mechanics and quantum mechanics Jump to This is a list of notable textbooks on classical mechanics and quantum mechanics arranged according to level and surnames of the authors in alphabetical order. A Modern Approach to Quantum Mechanics (2nd ed.). University Science Books. @article{osti_, title = {Non-hermitian quantum thermodynamics}, author = {Gardas, Bartłomiej and Deffner, Sebastian and Saxena, Avadh}, abstractNote = {Thermodynamics is the phenomenological theory of heat and work. Here we analyze to what extent quantum thermodynamic relations are immune to the underlying mathematical formulation of quantum mechanics.

This book presents the Proceedings of the 15th International Conference on Non-Hermitian Hamiltonians in Quantum Physics, held in Palermo, Italy, from 18 to 23 May Non-Hermitian operators, and non-Hermitian Hamiltonians in particular, have recently received considerable attention from both the mathematics and physics : Springer International Publishing. As other answers have already stated, non-Hermitian quantum mechanics of an isolated system does not have a physical meaning. However, if I want to understand the interaction between a system of interest and a bath (one atom and all the modes of t.

In his book on quantum field theory Barton gives the standard reasons for why a non-Hermitian Hamiltonian cannot provide a fundamental description of nature: 'A non-Hermitian Hamiltonian is unacceptable partly because it may lead to complex energy eigenvalues, but chiefly because it implies a non-unitary S matrix, which fails to conserve Cited by: Fundamentals of Pseudo-Hermitian Quantum Mechanics. To address physical properties of recent experiments 4,6 we start by briefly reviewing the mathematical foundations of pseudo-hermitian quantum mechanics H be a general, non-hermitian Hamiltonian of a physical system, and we assume for the sake of simplicity that the spectrum of H, {E n}, is discrete (possibly degenerate).Cited by:

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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 Cited by: 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. 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 undergraduate and graduate students and researchers in physics, chem- istry and engineering.

"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 will be useful to advanced graduate students and researchers in physics, chemistry and engineering.

First, non-Hermitian quantum mechanics en- larges the set of Hamiltonians we are allowed to consider quantum mechanically, so it increases the number of systems we can analyze and solve.

Another reason is that. Different formulations of quantum mechanics This book is dedicated to the non-Hermitian formalism of quantum mechanics. In this chapter we wish to give the motivation and the rational for developing a non-Hermitian formalism to quantum mechanics. Therefore this chapter will not explain how non-Hermitian calculations are carried out or in what File Size: KB.

Making Sense of Non-Hermitian Hamiltonians 3 condition of space-time reﬂection symmetry (PT symmetry) H= HPT (2) without violating any of the physical axioms of quantum mechanics. If Hsatisﬁes (2), it is said to be PT symmetric. The notation used in this paperis as follows: The space-reﬂection operator, orparity.

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 2/5(1).

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.

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 Brand: Nimrod Moiseyev. Summary: "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 will be useful to advanced graduate students and researchers in physics, chemistry and engineering. 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 Author: Nimrod Moiseyev. If H has an unbroken PT symmetry, then the spectrum is real. Examples of PT-symmetric non-Hermitian quantum-mechanical Hamiltonians are H=p^2+ix^3 and H=p^2-x^4.

Amazingly, the energy levels of these Hamiltonians are all real and positive. In general, if H has an unbroken PT symmetry, then it has another symmetry represented by a linear operator by: 1. Different formulations of quantum mechanics; 2. Resonance phenomena in nature; 3.

Resonances from Hermitian quantum mechanics calculations; 4. Resonances from non-Hermitian quantum mechanics calculations; 5. Square integrable resonance wavefunctions; 6. Bi-orthogonal product (C-product); 7.

The properties of the non-Hermitian Hamiltonian; 8. Non-Hermitian scattering theory; 9. Measurements of non-Hermitian photon dynamics show boundary-localized bulk eigenstates given by the non-Hermitian skin effect.

A fundamental revision of the bulk–boundary correspondence in open Author: Lei Xiao, Tianshu Deng, Kunkun Wang, Gaoyan Zhu, Zhong Wang, Wei Yi, Wei Yi, Peng Xue.

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. 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/5(4).

Non-Hermitian Quantum Mechanics A fundamental assumption of quantum mechanics is that operators are represented by Hermitian matrices.

This guarantees that observable quantities, which are given by the eigenvalues of these matrix operators, are real-valued (as opposed to complex), and that quantum mechanical systems evolve in a manner that. Lecture Notes in Quantum Mechanics by Doron Cohen. This book covers the following topics: The classical description of a particle, Hilbert space formalism, Group theory, Lie algebra, The Green function approach, The evolution operator, Scattering theory, Quantum mechanics.

Nimrod Moiseyev, Professor at the Technion and Head of the Institute of Advanced Studies of Theoretical Chemistry, author of the text books "Non Hermitian Quantum Mechanics", published in by. Symmetric forms are familiar in quantum mechanics, where they have a physical interpretation of expectation values.

For non-self-adjoint operators, a more general class of sectorial forms is needed.This book presents the Proceedings of the 15th International Conference on Non-Hermitian Hamiltonians in Quantum Physics, held in Palermo, Italy, from 18 to 23 May Non-Hermitian operators, and non-Hermitian Hamiltonians in particular, have recently received considerable attention from both the mathematics and physics communities.In the global framework of quantum theory, the individual quantum systems seem clearly separated into two families with the respective manifestly Hermitian and hiddenly Hermitian operators of their Hamiltonian.

In the light of certain preliminary studies, these two families seem to have an empty overlap. In this paper, we will show that whenever the interaction potentials are chosen to be Cited by: 2.