The lack ofO(A ?1)-contributions in the Iwamoto-Yamada-expansion of the energy expectation value per particle for extended Fermi systems

1978 ◽  
Vol 30 (1) ◽  
pp. 79-83 ◽  
Author(s):  
J�rgen Nitsch
Keyword(s):  
Fermi Systems ◽  
Expectation Value ◽  
Energy Expectation ◽  
Energy Expectation Value

AB INITIO CALCULATION OF $^5_\Lambda {\rm He}$ WITH EXPLICIT Σ ADMIXTURE

2003 ◽  
Vol 18 (02n06) ◽  
pp. 139-142
Author(s):  
H. NEMURA ◽  
Y. AKAISHI ◽  
Y. SUZUKI
Keyword(s):  
Ab Initio ◽  
Internal Energy ◽  
Ab Initio Calculation ◽  
Degrees Of Freedom ◽  
Bound State ◽  
Bound State Solution ◽  
Expectation Value ◽  
Variational Calculations ◽  
Energy Expectation ◽  
Energy Expectation Value

Variational calculations for s-shell hypernuclei are performed by explicitly including Σ degrees of freedom. Two sets of YN interactions (D2 and SC97e(S)) are used. The bound-state solution of [Formula: see text] is obtained by using each of YN potentials, and a large energy expectation value of the tensor ΛN - ΣN transition part is found by using the SC97e(S). The internal energy of 4 He subsystem changes a lot by the presence of a Λ particle with the strong tensor ΛN - ΣN transition potential.

scholarly journals On the variational principle for the non-linear Schrödinger equation

2019 ◽  
Vol 58 (1) ◽  
pp. 340-351
Author(s):  
Zsuzsanna É. Mihálka ◽  
Ádám Margócsy ◽  
Ágnes Szabados ◽  
Péter R. Surján
Keyword(s):  
Variational Principle ◽  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Energy Functional ◽  
Numerical Calculations ◽  
Eigenvalue Equation ◽  
Expectation Value ◽  
Energy Expectation ◽  
Feynman Theorem ◽  
Energy Expectation Value

AbstractWhile variation of the energy functional yields the Schrödinger equation in the usual, linear case, no such statement can be formulated in the general nonlinear situation when the Hamiltonian depends on its eigenvector. In this latter case, as we illustrate by sample numerical calculations, the points of the energy expectation value hypersurface where the eigenvalue equation is satisfied separate from those where the energy is stationary. We show that the variation of the energy at the eigensolution is determined by a generalized Hellmann–Feynman theorem. Functionals, other than the energy, can, however be constructed, that result the nonlinear Schrödinger equation upon setting their variation zero. The second centralized moment of the Hamiltonian is one example.

scholarly journals Potential Energy Expectation Value for Lithium Excited State (1s2s3s)

2015 ◽  
Vol 12 (2) ◽  
pp. 394-399
Author(s):  
Baghdad Science Journal
Keyword(s):  
Wave Function ◽  
Excited State ◽  
Potential Energy ◽  
Atomic Number ◽  
Spin States ◽  
Expectation Value ◽  
Hartree Fock ◽  
Linear Behaviour ◽  
Energy Expectation ◽  
Energy Expectation Value

The purpose of the present work is to calculate the expectation value of potential energy for different spin states (??? ? ???,??? ? ???) and compared it with spin states (??? , ??? ) for lithium excited state (1s2s3s) and Li- like ions (Be+,B+2) using Hartree-Fock wave function by partitioning techanique .The result of inter particle expectation value shows linear behaviour with atomic number and for each atom and ion the shows the trend ??? < ??? < ??? < ???

scholarly journals Quantum Energy Expectation in Periodic Time-Dependent Hamiltonians via Green Functions

2009 ◽  
Vol 2009 ◽  
pp. 1-30
Author(s):  
César R. de Oliveira ◽  
Mariza S. Simsen
Keyword(s):  
Time Dependent ◽  
Green Functions ◽  
Quantum Energy ◽  
Expectation Value ◽  
Energy Expectation ◽  
Floquet Operator ◽  
Time Average ◽  
Time Periodic

LetUFbe the Floquet operator of a time periodic HamiltonianH(t). For each positive and discrete observableA(which we call aprobe energy), we derive a formula for the Laplace time average of its expectation value up to timeTin terms of its eigenvalues and Green functions at the circle of radiuse1/T. Some simple applications are provided which support its usefulness.

Correlation analysis of radiation damage

1978 ◽  
Vol 36 (1) ◽  
pp. 214-215
Author(s):  
R. Hegerl ◽  
A. Feltynowski ◽  
B. Grill
Keyword(s):  
Electron Microscopy ◽  
Independent Random Variables ◽  
Optical Parameters ◽  
Bright Field Image ◽  
Bright Field ◽  
Expectation Value ◽  
All Optical ◽  
Image Element ◽  
Stochastic Series ◽  
The Common

Till now correlation functions have been used in electron microscopy for two purposes: a) to find the common origin of two micrographs representing the same object, b) to check the optical parameters e. g. the focus. There is a third possibility of application, if all optical parameters are constant during a series of exposures. In this case all differences between the micrographs can only be caused by different noise distributions and by modifications of the object induced by radiation.Because of the electron noise, a discrete bright field image can be considered as a stochastic series Pm,where i denotes the number of the image and m (m = 1,.., M) the image element. Assuming a stable object, the expectation value of Pm would be Ηm for all images. The electron noise can be introduced by addition of stationary, mutual independent random variables nm with zero expectation and the variance. It is possible to treat the modifications of the object as a noise, too.

ISOMER AND ISOTOPE SHIFTS IN SPHERICAL NUCLEI ON THE BASIS OF THE THEORY OF FINITE FERMI SYSTEMS

1980 ◽  
Vol 41 (C1) ◽  
pp. C1-141-C1-142
Author(s):  
L. M. Dautov ◽  
R. N. Kasymbalinov ◽  
D. K. Kaipov ◽  
M. M. Kadykenov
Keyword(s):  
Fermi Systems ◽  
Isotope Shifts ◽  
Spherical Nuclei

Global symmetries and Noether’s theorem

2018 ◽  
Author(s):  
Michael Kachelriess
Keyword(s):  
Global Symmetries ◽  
Symmetry Transformation ◽  
Vacuum Expectation ◽  
Vacuum Expectation Value ◽  
Quantum Field ◽  
Expectation Value ◽  
Minkowski Space Time ◽  
Integral Measure ◽  
Colour Charge ◽  
Internal Symmetries

Noethers theorem shows that continuous global symmetries lead classically to conservation laws. Such symmetries can be divided into spacetime and internal symmetries. The invariance of Minkowski space-time under global Poincaré transformations leads to the conservation of the four-momentum and the total angular momentum. Examples for conserved charges due to internal symmetries are electric and colour charge. The vacuum expectation value of a Noether current is shown to beconserved in a quantum field theory if the symmetry transformation keeps the path-integral measure invariant.

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