scholarly journals Spin relaxation: under the sun, anything new?

2021 ◽  
Author(s):  
Bogdan A. Rodin ◽  
Daniel Abergel
Keyword(s):  
Spin Relaxation ◽  
Nmr Relaxation ◽  
Quantum Mechanical ◽  
Density Functions ◽  
The Sun ◽  
Mechanical Theory ◽  
Founding Fathers ◽  
The Core ◽  
Quantum Mechanical Theory ◽  
Spectral Density Functions

Abstract. Spin relaxation has been at the core of many studies since the early days of NMR, and the undelying theory worked out by its founding fathers. However, this theory has been recently questioned (Bengs and Levitt (2020)) in the light of Linblad theory of quantum Markovian master equations. In this article, we review the conventional approach of quantum mechanical theory of NMR relaxation and show that under the usual assumptions, it is equivalent to the Linblad formulation. We also comment on the debate over semi-classical versus quantum versions of spectral density functions involved in relaxation.

The role of the basis set and the level of quantum mechanical theory in the prediction of the structure and reactivity of cisplatin

2012 ◽  
Vol 33 (29) ◽  
pp. 2292-2302 ◽  
Author(s):  
Diego Paschoal ◽  
Bruna L. Marcial ◽  
Juliana Fedoce Lopes ◽  
Wagner B. De Almeida ◽  
Hélio F. Dos Santos
Keyword(s):  
Basis Set ◽  
Quantum Mechanical ◽  
Mechanical Theory ◽  
Quantum Mechanical Theory

scholarly journals The Einstein–Infeld–Hoffmann legacy in mathematical relativity II. Quantum laws of motion for singularities of spacetime

2019 ◽  
Vol 28 (11) ◽  
pp. 1930018
Author(s):  
A. Shadi Tahvildar-Zadeh ◽  
Michael K. H. Kiessling
Keyword(s):  
Finite Number ◽  
Relativistic Quantum ◽  
Quantum Mechanical ◽  
Mechanical Theory ◽  
Quantum Mechanical Theory ◽  
Theory Of Motion ◽  
Recent Developments ◽  
Laws Of Motion

We report on recent developments toward a relativistic quantum-mechanical theory of motion for a fixed, finite number of electrons, photons and their anti-particles, as well as its possible generalizations to other particles and interactions.

The quantum mechanical theory of environmental effects

1960 ◽  
Vol 255 (1280) ◽  
pp. 63-68 ◽  
Keyword(s):  
Wave Function ◽  
Environmental Effects ◽  
Quantum Mechanical ◽  
Mechanical Theory ◽  
Wave Mechanics ◽  
Quantum Mechanical Theory ◽  
The Individual

A basic postulate of wave mechanics is that the wave function of a microscopic system develops in time according to the equation iℏ∂ψ/∂ t = H ψ, where H , the Hamiltonian, is an operator which in general depends upon the time. If, and only if, the Hamiltonian is time-independent, then the solutions of this equation take the form ψ( q, t ) = ∑ n c n Ѱ n ( q )e -1 E n t /ℏ , (2) where the individual terms Ѱ n ( q ) are functions of the co-ordinates alone and the E n are the corresponding eigenvalues of the Hamiltonian, satisfying HѰ n = E n Ѱ n . (3)

scholarly journals The Chemical Composition of Planetary Nebulae

1968 ◽  
Vol 34 ◽  
pp. 209-223 ◽  
Author(s):  
Lawrence H. Aller ◽  
Stanley J. Czyzak
Keyword(s):  
Chemical Composition ◽  
Planetary Nebulae ◽  
Quantum Mechanical ◽  
Physical Parameters ◽  
Chemical Compositions ◽  
Mechanical Theory ◽  
Gaseous Nebulae ◽  
Quantum Mechanical Theory ◽  
The One

The problem of the determination of the chemical compositions of planetary and other gaseous nebulae constitutes one of the most exasperating problems in astrophysics. On the one hand, the problem appears to be conceptually simple – the mechanisms of excitation of the various lines appear to be well understood and the necessary physical parameters can be obtained by quantum mechanical theory. Yet the task is a difficult one and we want to explore some of the significant features.

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