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Pseudo-Hermitian representation of quantum mechanics
A diagonalizable non-Hermitian Hamiltonian having a real spectrum may be used to define
a unitary quantum system, if one modifies the inner product of the Hilbert space properly. We …
a unitary quantum system, if one modifies the inner product of the Hilbert space properly. We …
Atom–surface diffraction: a trajectory description
Elastic atom–surface scattering is a complex, non-linear dynamical process. In this work, a
description of the underlying dynamics in terms of classical and quantum trajectories is …
description of the underlying dynamics in terms of classical and quantum trajectories is …
[کتاب][B] A concise treatise on quantum mechanics in phase space
TL Curtright, DB Fairlie, CK Zachos - 2013 - books.google.com
This is a text on quantum mechanics formulated simultaneously in terms of position and
momentum, ie in phase space. It is written at an introductory level, drawing on the …
momentum, ie in phase space. It is written at an introductory level, drawing on the …
Semiclassical approximations in phase space withcoherent states
We present a complete derivation of the semiclassical limit of the coherent-state propagator
in one dimension, starting from path integrals in phase space. We show that the arbitrariness …
in one dimension, starting from path integrals in phase space. We show that the arbitrariness …
On complexified mechanics and coquaternions
While real Hamiltonian mechanics and Hermitian quantum mechanics can both be cast in
the framework of complex canonical equations, their complex generalizations have hitherto …
the framework of complex canonical equations, their complex generalizations have hitherto …
A novel algebraic approach for the Schrödinger equation in split quaternionic mechanics
Z Guo, T Jiang, VI Vasil'ev, G Wang - Applied Mathematics Letters, 2023 - Elsevier
In the theoretical exploration and numerical computation of split quaternionic quantum
mechanics, an important goal is to solve the Schrödinger equation∂∂ t| f>=− A| f> with A an …
mechanics, an important goal is to solve the Schrödinger equation∂∂ t| f>=− A| f> with A an …
Classical limit of non-Hermitian quantum dynamics—a generalized canonical structure
We investigate the classical limit of non-Hermitian quantum dynamics arising from a
coherent state approximation, and show that the resulting classical phase space dynamics …
coherent state approximation, and show that the resulting classical phase space dynamics …
Biorthogonal quantum systems
Models of PT symmetric quantum mechanics provide examples of biorthogonal quantum
systems. The latter incorporate all the structure of PT symmetric models, and allow for …
systems. The latter incorporate all the structure of PT symmetric models, and allow for …
From the coherent state path integral to a semiclassical initial value representation of the quantum mechanical propagator
We give a derivation of the semiclassical propagator of Herman and Kluk (HK) which is
based on the coherent state path integral technique. Our procedure unveils how the …
based on the coherent state path integral technique. Our procedure unveils how the …
Phase-space approach to the tunnel effect: A new semiclassical traversal time
We determine the semiclassical coherent-state propagator for a particle going through one-
dimensional evolution in a simple barrier potential. The described semiclassical method …
dimensional evolution in a simple barrier potential. The described semiclassical method …