Matrix elements for operators for physical quantities in one-configuration functions of radicals

1972 ◽  
Vol 5 (6) ◽  
pp. 509-514
Author(s):  
E. V. Mozdor ◽  
Yu. A. Kruglyak ◽  
V. A. Kuprievich
Keyword(s):  
Matrix Elements ◽  
Physical Quantities

scholarly journals Supersymmetry of 𝒫𝒯-symmetric tridiagonal Hamiltonians

2021 ◽  
Author(s):  
Mohammad Walid AlMasri
Keyword(s):  
Energy Spectrum ◽  
Orthogonal Polynomials ◽  
Complex Potentials ◽  
Complex Conjugate ◽  
Matrix Elements ◽  
Morse Oscillator ◽  
Supersymmetric Partner ◽  
Natural Home ◽  
Symmetric Complex ◽  
Physical Quantities

We extend the study of supersymmetric tridiagonal Hamiltonians to the case of non-Hermitian Hamiltonians with real or complex conjugate eigenvalues. We find the relation between matrix elements of the non-Hermitian Hamiltonian [Formula: see text] and its supersymmetric partner [Formula: see text] in a given basis. Moreover, the orthogonal polynomials in the eigenstate expansion problem attached to [Formula: see text] can be recovered from those polynomials arising from the same problem for [Formula: see text] with the help of kernel polynomials. Besides its generality, the developed formalism in this work is a natural home for using the numerically powerful Gauss quadrature techniques in probing the nature of some physical quantities such as the energy spectrum of [Formula: see text]-symmetric complex potentials. Finally, we solve the shifted [Formula: see text]-symmetric Morse oscillator exactly in the tridiagonal representation.

Effect of the structural changes on the mechanical properties of the sintered films

2016 ◽  
Vol 12 (1) ◽  
pp. 4141-4144
Author(s):  
Garima Jain
Keyword(s):  
Crystallite Size ◽  
Lattice Constant ◽  
Structural Changes ◽  
Structural Investigation ◽  
Energy Gap ◽  
Lattice Parameter ◽  
Metal Chalcogenides ◽  
Optical Energy Gap ◽  
Tin Telluride ◽  
Physical Quantities

Polycrystalline films of tin telluride were prepared by sintering technique. The structural investigation of the films with different thicknesses enables to determine lattice parameter, crystallite size and strain existing in the films. The XRD traces showed that strain was tensile in nature. The crystallite size increases with thickness while strain decreases. Higher the value of tensile strain, larger is the lattice constant. The optical energy gap shows a descending nature with increasing strain and so with the lattice constant. Such an attempt made to delve into interdependence of basic physical quantities helps to explore the properties of SnTe and utilize it as an alternative to heavy metal chalcogenides in various technological applications.  

The analysis of measurements of flatness of the artificial surfaces of the runway of civil aerodrome

2018 ◽  
pp. 14-23
Author(s):  
А. Богоявленский ◽  
A. Bogoyavlenskiy
Keyword(s):  
Artificial Turf ◽  
Artificial Surfaces ◽  
Physical Quantities

One of the most important characteristics of the runways with artificial turf of civil airfields is their evenness. Passengers of the mainline aircraft – both in domestic and foreign airportssubjectively assess the airfield pavements evenness by the presence or absence of shaking during the movement of the aircraft on the runway both during takeoff and landing. In units of what physical quantities, by what means and methods is measured (estimated) the evenness of aerodrome surfaces? How to ensure of the traceability of measurements from the primary national etalon of parameter to the value of the measured value. About it-this publication.

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