scholarly journals Quantum Mechanics of Circularly Polarized Photons. I. General Theory

1946 ◽  
Vol 1 (4) ◽  
pp. 125-142 ◽  
Author(s):  
Gentaro Araki
Keyword(s):  
Quantum Mechanics ◽  
General Theory ◽  
Circularly Polarized ◽  
Polarized Photons

Dualism QM and GR

2019 ◽  
Author(s):  
Vitaly Kuyukov
Keyword(s):  
Quantum Mechanics ◽  
General Theory ◽  
Noncommutative Geometry ◽  
Quantum Tunneling ◽  
Closed Surface ◽  
Theory Of Relativity ◽  
General Theory Of Relativity ◽  
Surface Integral ◽  
Definition Of

Quantum tunneling of noncommutative geometry gives the definition of time in the form of holography, that is, in the form of a closed surface integral. Ultimately, the holography of time shows the dualism between quantum mechanics and the general theory of relativity.

HYPER-SPHERICAL HARMONICS AND ANHARMONICS IN m-DIMENSIONAL SPACE

2008 ◽  
Vol 17 (06) ◽  
pp. 1125-1130
Author(s):  
M. R. SHOJAEI ◽  
A. A. RAJABI ◽  
H. HASANABADI
Keyword(s):  
Quantum Mechanics ◽  
General Theory ◽  
Spherical Harmonics ◽  
Interaction Potential ◽  
Dimensional Space ◽  
Harmonic Polynomials ◽  
Central Importance ◽  
Computational Tools ◽  
Relative Coordinate

In quantum mechanics the hyper-spherical method is one of the most well-established and successful computational tools. The general theory of harmonic polynomials and hyper-spherical harmonics is of central importance in this paper. The interaction potential V is assumed to depend on the hyper-radius ρ only where ρ is the function of the Jacobi relative coordinate x1, x2,…, xn which are functions of the particles' relative positions.

On the error of approximations in quantum mechanics. I. General theory

1965 ◽  
Vol 257 (1081) ◽  
pp. 309-326 ◽  
Keyword(s):  
Quantum Mechanics ◽  
General Theory ◽  
Computer Applications ◽  
Quantum Mechanical ◽  
Quantum Mechanical Calculations ◽  
Density Matrices ◽  
Single Error

General formulas for estimating the errors in quantum-mechanical calculations are given in the formalism of density matrices. Some properties of the traces of matrices are used to simplify the estimating and to indicate a way of obtaining a better approximation. It is shown that the simultaneous correction of all the equations to be fulfilled leads in most cases to a faster convergence than the exact fulfilment of some of the equations and approximating stepwise to some of the others. The corrective formulas contain only direct operations of the matrices occurring and so they are advantageous in computer applications. In the last section a ‘subjective error’ definition is given and by taking into account the weight of the errors of the several equations a faster convergence and a single error quantity is obtained. Some special applications of the method will be published later.

scholarly journals Facilities for the Performance of Fano Effect Measurements as a Probe of Electron Correlation

2006 ◽  
Vol 986 ◽  
Author(s):  
J. G. Tobin ◽  
S. W. Tobin ◽  
T Komesu ◽  
B W Chung ◽  
S. A. Morton ◽  
...  
Keyword(s):  
Direct Observation ◽  
Electron Correlation ◽  
Selective Excitation ◽  
Photoelectron Emission ◽  
Circularly Polarized ◽  
Fano Effect ◽  
Spin Polarized ◽  
Fano Effects ◽  
Polarized Photons

AbstractFano Effect measurements are the key to direct observation of the Kondo or spin shielding intrinsic to models of electron correlation. The Fano Effect is the observation of spin polarized photoelectron emission from NONMAGNETIC materials, under chirally selective excitation, such as circularly polarized photons. Below are described three spectrometers, with which Fano Effects measurements have been made.

scholarly journals Origin of Terrestrial Bioorganic Homochirality and Symmetry Breaking in the Universe

Symmetry ◽  
2019 ◽  
Vol 11 (7) ◽  
pp. 919 ◽  
Author(s):  
Jun-ichi Takahashi ◽  
Kensei Kobayashi
Keyword(s):  
Symmetry Breaking ◽  
Parity Violation ◽  
Circularly Polarized ◽  
Physical Conditions ◽  
Quantum Radiation ◽  
Interstellar Media ◽  
Spin Polarized ◽  
Terrestrial Life ◽  
Polarized Photons ◽  
The Universe

The origin of terrestrial bioorganic homochirality is one of the most important and unresolved problems in the study of chemical evolution prior to the origin of terrestrial life. One hypothesis advocated in the context of astrobiology is that polarized quantum radiation in space, such as circularly polarized photons or spin-polarized leptons, induced asymmetric chemical and physical conditions in the primitive interstellar media (the cosmic scenario). Another advocated hypothesis in the context of symmetry breaking in the universe is that the bioorganic asymmetry is intrinsically derived from the chiral asymmetric properties of elementary particles, that is, parity violation in the weak interaction (the intrinsic scenario). In this paper, the features of these two scenarios are discussed and approaches to validate them are reviewed.

On the general theory of damping in quantum mechanics

1951 ◽  
Vol 8 (11) ◽  
pp. 817-842 ◽  
Author(s):  
M. Schönberg
Keyword(s):  
Quantum Mechanics ◽  
General Theory
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