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The complex scaling method (CSM) is a useful similarity transformation of the Schr\"odinger equation, in which bound-state spectra are not changed but continuum spectra are separated into resonant and non-resonant continuum ones. Because…

Nuclear Theory · Physics 2014-10-17 Takayuki Myo , Yuma Kikuchi , Hiroshi Masui , Kiyoshi Kato

The complex scaling method (CSM) is one of the most powerful methods of describing the resonances with complex energy eigenstates, based on non-Hermitian quantum mechanics. We present the basic application of CSM to the properties of the…

Nuclear Theory · Physics 2020-12-22 Takayuki Myo , Kiyoshi Kato

We have applied the coupled-channel complex scaling method (ccCSM) to K^{bar}N-\pi Y system. One advantage of ccCSM is that resonant states as well as scattering states can be treated in the same framework. For the interactions in the…

Nuclear Theory · Physics 2015-06-05 Akinobu Dote , Takashi Inoue , Takayuki Myo

Reliable computational methodologies and basis sets for modeling x-ray spectra are essential for extracting and interpreting electronic and structural information from experimental x-ray spectra. In particular, the trade-off between…

Chemical Physics · Physics 2025-03-26 Alexis A. A. Delgado , Devin A. Matthews

We propose a new method to describe three-body breakups of nuclei, in which the Lippmann-Schwinger equation is solved combining with the complex scaling method. The complex-scaled solutions of the Lippmann-Schwinger equation (CSLS) enables…

Nuclear Theory · Physics 2009-11-19 Yuma Kikuchi , Takayuki Myo , Masaaki Takashina , Kiyoshi Kato , Kiyomi Ikeda

A linear scale method for calculating electronic properties of large and complex systems is introduced within a local density approximation. The method is based on the Chebyshev polynomial expansion and the time-dependent method, which is…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Shintaro Nomura , Toshiaki Iitaka

The Small-Correlated-Against-Large Estimator (SCALE) for small-scale lensing of the cosmic microwave background (CMB) provides a novel method for measuring the amplitude of CMB lensing power without the need for reconstruction of the…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-23 Victor C. Chan , Renée Hložek , Joel Meyers , Alexander van Engelen

We perform a short review of the history of quantum mechanics, with a focus on the historical problems with describing ionization theoretically in the context of quantum mechanics. The essentials of the theory of resonances are presented.…

Quantum Physics · Physics 2021-03-10 Patrik Pirkola

Calculations are performed for energies of isobaric analog states with isospins T=2 and T=3 in regions where they have been found experimentally e.g. f-p shell, and regions where they have not yet been found e.g. g_{9/2} near Z=50,N=50. We…

Nuclear Theory · Physics 2015-06-15 Larry Zamick , Shadow Robinson , Alberto Escuderos , Yitzhak Sharon , Michael Kirson

The complex scaling method (CSM) provides with a way to obtain resonance parameters of particle unstable states by rotating the coordinates and momenta of the original Hamiltonian. It is convenient to use an L$^2$ integrable basis to…

Nuclear Theory · Physics 2016-11-21 G. Papadimitriou

A recent article reported a comparison study concerning compound-specific chlorine isotope analysis (CSIA-Cl) of organochlorines using gas chromatography- isotope ratio mass spectrometry (GC-IRMS) and gas chromatography-quadrupole mass…

Instrumentation and Detectors · Physics 2017-10-30 Caiming Tang , Lianjun Baoc

Low-lying continuum states of exotic oxygen isotopes are studied, by introducing the Continuum-Coupled Shell Model (CCSM) characterized by an infinite wall placed very far and by an interaction for continuum coupling constructed in a close…

Nuclear Theory · Physics 2015-08-19 Koshiroh Tsukiyama , Takaharu Otsuka , Rintaro Fujimoto

The perfectly matched layers (PML) and exterior complex scaling (ECS) methods for absorbing boundary conditions are analyzed using spectral decomposition. Both methods are derived through analytical continuations from unitary to contractive…

Computational Physics · Physics 2015-06-16 A. Scrinzi , H. P. Stimming , N. J . Mauser

Multi-user integrated sensing and communication (ISAC) assisted by intelligent reflecting surface (IRS) has been recently investigated to provide a high spectral and energy efficiency transmission. This paper proposes a practical channel…

Signal Processing · Electrical Eng. & Systems 2024-04-09 Yu Liu , Ibrahim Al-Nahhal , Octavia A. Dobre , Fanggang Wang , Hyundong Shin

X-Ray transition energies and isotope shifts in heavy atoms are evaluated. The energy levels with vacancies in the inner shells are calculated within the approximation of the average of nonrelativistic configuration employing the…

Atomic Physics · Physics 2018-08-29 I. I. Tupitsyn , N. A. Zubova , V. M. Shabaev , G. Plunien , Th. Stoehlker

In this work, two approaches for simulating X-ray absorption (XA) spectra with the complete active space self-consistent field (CASSCF) linear response (LR) method are introduced. The first approach employs the well-known core-valence…

Chemical Physics · Physics 2022-03-10 Benjamin Helmich-Paris

Resonances and continuum states of He isotopes are investigated using the cluster orbital shell model (COSM) with the complex scaling method (CSM). We discuss the following subjects: 1) Spectroscopic factors of the unbound nucleus 7He into…

Nuclear Theory · Physics 2011-09-30 Takayuki Myo , Kiyoshi Kato

An exterior complex scaling technique is applied to compute Stark resonance parameters for two molecular orbitals ($1b_{1}$ and $1b_{2}$) represented in the field-free limit in a single-center expansion. For electric DC field configurations…

Atomic Physics · Physics 2016-11-23 Susana Arias Laso , Marko Horbatsch

Integrated sensing and communication (ISAC), and intelligent reflecting surface (IRS) are envisioned as revolutionary technologies to enhance spectral and energy efficiencies for next wireless system generations. For the first time, this…

Signal Processing · Electrical Eng. & Systems 2024-04-09 Yu Liu , Ibrahim Al-Nahhal , Octavia A. Dobre , Fanggang Wang

Beam alignment is key in enabling millimeter wave and terahertz radios to achieve their capacity. Due to the use of large arrays in these systems, the common exhaustive beam scanning results in a substantial training overhead. Prior work…

Signal Processing · Electrical Eng. & Systems 2023-08-28 Hamed Masoumi , Michel Verhaegen , Nitin Jonathan Myers
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