scholarly journals The Energy-Levels and Transition Probabilities for a Bounded Linear Harmonic Oscillator

1955 ◽  
Vol 14 (3) ◽  
pp. 214-224 ◽  
Author(s):  
J. S. Baijal ◽  
K. K. Singh
Keyword(s):  
Harmonic Oscillator ◽  
Transition Probabilities ◽  
Energy Levels ◽  
Bounded Linear ◽  
Linear Harmonic Oscillator

The quantum mechanics of a bounded linear harmonic oscillator

1945 ◽  
Vol 41 (2) ◽  
pp. 175-179 ◽  
Author(s):  
F. C. Auluck
Keyword(s):  
Boundary Condition ◽  
Wave Function ◽  
Quantum Mechanics ◽  
Harmonic Oscillator ◽  
Bounded Linear ◽  
Present Discussion ◽  
Linear Harmonic Oscillator

1. The present paper deals with an enclosed (linear) harmonic oscillator. The usual boundary condition that the wave function vanishes at infinity is here replaced by the condition that the wave function vanishes at the walls of the enclosure. The problem has been treated before (1, 2, 4). However, the present discussion goes much further than that given in the papers cited*.

Microscopic Analysis for the Role of Laser to the Seeds of Erigeron Breviscapus (Vant)Hand-Mazz

2013 ◽  
Vol 760-762 ◽  
pp. 223-226
Author(s):  
Li Li Zhang ◽  
Jia Jin Tian ◽  
Hong Wei Zhang ◽  
Can Bang Zhang ◽  
Ju Cheng Zhang ◽  
...  
Keyword(s):  
Harmonic Oscillator ◽  
Transition Probabilities ◽  
Energy Levels ◽  
Microscopic Analysis ◽  
Protein Molecule ◽  
Point Of View ◽  
Oscillator Model ◽  
Microscopic Mechanism ◽  
Harmonic Oscillator Model ◽  
Erigeron Breviscapus

From the point of view of quantum mechanics, Harmonic oscillator model was established for analysis of the microscopic mechanism for effect of the laser to the Seed of Erigeron breviscapus (Vant.)Hand.-Mazz. The energy levels of the protein molecule can be reduced by laser radiating seeds which increased the transition probabilities and to advance the activity of the seeds. The protein single non-harmonic oscillator model was built for further research, and the chemical reaction rate formula of protein molecules by laser radiation was obtained. Its explained the laser stimulation and inhibition to the seeds which is the energy unidirectional response.

scholarly journals New Transition and Energy Levels of Three-Times Ionized Krypton (Kr IV)

Atoms ◽  
2021 ◽  
Vol 9 (3) ◽  
pp. 48
Author(s):  
M. Raineri ◽  
M. Gallardo ◽  
J. Reyna Almandos ◽  
A. G. Trigueiros ◽  
C. J. B. Pagan
Keyword(s):  
Transition Probabilities ◽  
Energy Levels ◽  
Pulsed Discharge ◽  
Core Polarization ◽  
Polarization Effects ◽  
Hartree Fock ◽  
Theta Pinch ◽  
New Energy ◽  
First Time

A capillary pulsed-discharge and a theta-pinch were used to record Kr spectra in the region of 330–4800 Å. A set of 168 transitions of these spectra were classified for the first time. We extended the analysis to twenty-five new energy levels belonging to 3s23p24d, 3s23p25d even configurations. We calculated weighted transition probabilities (gA) for all of the experimentally observed lines and lifetimes for new energy levels using a relativistic Hartree–Fock method, including core-polarization effects.

scholarly journals Opacities in Strong Magnetic Helds

1995 ◽  
Vol 10 ◽  
pp. 588-590
Author(s):  
Dayal T. Wickramasinghe
Keyword(s):  
Entire Range ◽  
White Dwarfs ◽  
Specific Problem ◽  
Transition Probabilities ◽  
Strong Field ◽  
Energy Levels ◽  
Dipolar Field ◽  
Origin And Evolution ◽  
End Products ◽  
Hydrogen Lines

White dwarfs are one of the most readily studied end products of stellarevolution. Their observed properties have provided and continue to provide important constraints for the theory of stellar evolution. Likewise, a study of magnetism in white dwarfs provides unique insights into the origin and evolution of magnetic fields in stars.Spectacular progress has been made on the specific problem of the structure of the hydrogen atom in strong fields. Energy levels and transition probabilities are now known for all low lying states of hydrogen for the entire range of field strengths appropriate to white dwarfs and neutron stars (104-1013G) (Rosner et al 1984, Forster et al 1984 and Henry and O’Connell 1984). These calculations resulted in the identification of spectral features in the magnetic white dwarf Grw+70°8247 which had remained unidentified for over 50 years (Minkowski 1938), with Zeeman shifted hydrogen lines in a magnetic field of 100 -320 MG ((eg Wickamasinghe and Ferrano 1989). Several other strong field magnetic white dwarfs have since been discovered through hydrogen Zeeman spectroscopy. The data presently at hand show that most hydrogen rich magnetic white dwarfs have complex non-dipolar field structures with strong evidence for higher order multipole components.

scholarly journals Intercombination Transitions between Levels X1Σg+ and A 3Πu in C2

1987 ◽  
Vol 120 ◽  
pp. 103-105
Author(s):  
J. Le Bourlot ◽  
E. Roueff
Keyword(s):  
Transition Probabilities ◽  
Energy Levels ◽  
Wave Functions ◽  
Spin Orbit Coupling ◽  
Energy Matrix ◽  
First Order ◽  
Emission Transition ◽  
Intercombination Transition ◽  
The One ◽  
Potential Curves

We present a new calculation of intercombination transition probabilities between levels X1Σg+ and a 3Πu of the C2 molecule. Starting from experimental energy levels, we calculate RKR potential curves using Leroy's Near Dissociation Expansion (NDE) method; these curves give us wave functions for all levels of interest. We then compute the energy matrix for the four lowest states of C2, taking into account Spin-Orbit coupling between a 3Πu and A 1Πu on the one hand and X 1Σ+g and b 3Σg− on the other. First order wave functions are then derived by diagonalization. Einstein emission transition probabilities of the Intercombination lines are finally obtained.

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