The significance of the strong orthogonality condition for geminal functions in variational calculations

1966 ◽  
Vol 5 (4) ◽  
pp. 373-375 ◽  
Author(s):  
C. S. Lin ◽  
F. W. Birss
Keyword(s):  
Orthogonality Condition ◽  
Variational Calculations ◽  
Strong Orthogonality

Combined User and Antenna Selection in Massive MIMO Using Precoding Technique

2019 ◽  
Vol 9 (2) ◽  
pp. 214-223 ◽  
Author(s):  
Tasher Ali Sheikh ◽  
Joyatri Bora ◽  
Md. Anwar Hussain
Keyword(s):  
Massive Mimo ◽  
Antenna Selection ◽  
Orthogonality Condition ◽  
Channel Gain ◽  
User Selection ◽  
Selection Algorithm

Background and Objectives: We propose here joint semi-orthogonal user selection and antenna selection algorithm based on precoding scheme. Methods: The focus of this proposed algorithm is to increase the system sumrate and decrease the complexity. We select and schedule users from a large number of users based on semi-orthogonality condition among them. Here, we select only the maximum channel gain antennas to maximize the system sumrate. Subsequently, the user selection and antenna selection have been scheduled in an adequate manner in order to obtain maximum system sumrate. We calculate the system sumrate for two scenarios: firstly, by considering the interference and secondly without considering the interference. We achieve maximum system sumrate at MMSE and lowest at without precoding while considering the interference. However, when we do not consider the interference we obtain lowest sumrate at MMSE and maximum at without precoding. Results and Conclusion: Here, we apply the precoding scheme to increase the system sumrate and we obtain approximately 20% to 35% higher system sumrate compared to without precoding, when interference is considered. Thus, we achieve higher sumrate in our proposed algorithms compared to other existing work.

Perturbative-variational calculations in two-well anharmonic oscillators

1990 ◽  
Vol 42 (9) ◽  
pp. 5073-5078 ◽  
Author(s):  
F. Arias de Saavedra ◽  
E. Buenda
Keyword(s):  
Anharmonic Oscillators ◽  
Variational Calculations

scholarly journals The Underlying Order Induced by Orthogonality and the Quantum Speed Limit

2021 ◽  
Vol 3 (3) ◽  
pp. 376-388
Author(s):  
Francisco J. Sevilla ◽  
Andrea Valdés-Hernández ◽  
Alan J. Barrios
Keyword(s):  
Energy Spectrum ◽  
Energy Distribution ◽  
Finite Time ◽  
Complete Characterization ◽  
Comprehensive Analysis ◽  
Orthogonality Condition ◽  
Speed Limit ◽  
Physical Quantities

We perform a comprehensive analysis of the set of parameters {ri} that provide the energy distribution of pure qutrits that evolve towards a distinguishable state at a finite time τ, when evolving under an arbitrary and time-independent Hamiltonian. The orthogonality condition is exactly solved, revealing a non-trivial interrelation between τ and the energy spectrum and allowing the classification of {ri} into families organized in a 2-simplex, δ2. Furthermore, the states determined by {ri} are likewise analyzed according to their quantum-speed limit. Namely, we construct a map that distinguishes those ris in δ2 correspondent to states whose orthogonality time is limited by the Mandelstam–Tamm bound from those restricted by the Margolus–Levitin one. Our results offer a complete characterization of the physical quantities that become relevant in both the preparation and study of the dynamics of three-level states evolving towards orthogonality.

Variational calculations of rotationally resolved infrared properties of Li2Na+, LiNa2+ and KLiNa+

1992 ◽  
Vol 272 ◽  
pp. 73-93 ◽  
Author(s):  
Feng Wang ◽  
Debra J. Searles ◽  
Ellak I. von Nagy-Felsobuki
Keyword(s):  
Variational Calculations

Variational calculations with repulsive core potentials

1960 ◽  
Vol 18 ◽  
pp. 672-680 ◽  
Author(s):  
N. Austern ◽  
P. Iano
Keyword(s):  
Repulsive Core ◽  
Variational Calculations

ALPHA CLUSTERING AND CONDENSATION IN NUCLEI

2011 ◽  
Vol 20 (04) ◽  
pp. 874-879 ◽  
Author(s):  
Y. FUNAKI ◽  
T. YAMADA ◽  
H. HORIUCHI ◽  
G. RÖPKE ◽  
P. SCHUCK ◽  
...  
Keyword(s):  
Orthogonality Condition ◽  
Low Density ◽  
Breakup Threshold ◽  
Condition Model ◽  
Strong Enhancement ◽  
Alpha Clustering ◽  
Α Particles

Low density states near the 3α and 4α breakup threshold in 12 C and 16 O , respectively, are discussed in terms of the α-particle condensation. Calculations are performed in OCM (Orthogonality Condition Model) and THSR (Tohsaki-Horiuchi-Schuck-Röpke) approaches. The [Formula: see text] state in 12 C and the [Formula: see text] state in 16 O are shown to have dilute density structures and give strong enhancement of the occupation of the S-state c.o.m. orbital of the α-particles. The possibility of the existence of α-particle condensed states in heavier nα nuclei is also discussed.

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