Model for γ decay of atomic or nuclear systems

1970 ◽  
Vol 48 (20) ◽  
pp. 2399-2410 ◽  
Author(s):  
M. Razavy ◽  
E. A. Henley Jr.
Keyword(s):  
Electromagnetic Field ◽  
Line Width ◽  
Mechanical Model ◽  
Binding Potential ◽  
Quantum Mechanical ◽  
Level Shift ◽  
Electromagnetic Transition ◽  
Exactly Solvable ◽  
Nuclear Systems ◽  
Solvable Quantum

An exactly solvable quantum-mechanical model for interaction of a spinless bound particle with the electromagnetic field is studied. This model is used to calculate the electromagnetic transition in atomic and nuclear systems. Some general results as to the dependence of line width and level shift on the binding potential are obtained.

scholarly journals Complex square well - a new exactly solvable quantum mechanical model

1999 ◽  
Vol 32 (39) ◽  
pp. 6771-6781 ◽  
Author(s):  
Carl M Bender ◽  
Stefan Boettcher ◽  
H F Jones ◽  
Van M Savage
Keyword(s):  
Mechanical Model ◽  
Quantum Mechanical ◽  
Quantum Mechanical Model ◽  
Exactly Solvable ◽  
Solvable Quantum ◽  
Square Well

On a quantum mechanical model for a maser I

1976 ◽  
Vol 79 (2) ◽  
pp. 351-371 ◽  
Author(s):  
Martin Hasler
Keyword(s):  
Electromagnetic Field ◽  
Physical Interpretation ◽  
Mechanical Model ◽  
Photon Number ◽  
Quantum Mechanical ◽  
Square Root ◽  
Quantum Mechanical Model ◽  
Thermal Distribution ◽  
Two Level Systems ◽  
Upper Level

AbstractThe model is closely connected with a model by Lamb and Scully (10). Atoms described as two-level systems, initially in an incoherent superposition of the two levels, interact successively during a time T with an electromagnetic field of which only one mode is taken into consideration. In the limit as infinitely many atoms have interacted, it is shown that the field either approaches a thermal distribution or is excited to arbitrarily high Photon numbers according to whether or not the lower level of the atoms is initially more probable than the upper level. It is also shown that in any case the correlations between pure Photon number states converge to 0. If the atoms are initially in the upper level it is proved that the Photon number grows roughly as the square root of the number of atoms that have interacted. Throughout the discussion number-theoretical properties of T play a disturbing role. The last mentioned result in fact depends on a sharp (but arbitrary) value for T and is therefore disqualified for physical interpretation.

scholarly journals Numerical study of the SWKB condition of novel classes of exactly solvable systems

2020 ◽  
pp. 2150025
Author(s):  
Yuta Nasuda ◽  
Nobuyuki Sawado
Keyword(s):  
Orthogonal Polynomial ◽  
Jacobi Polynomials ◽  
Numerical Study ◽  
Mechanical Systems ◽  
The Other ◽  
Quantum Mechanical ◽  
Shape Invariance ◽  
Exactly Solvable ◽  
Solvable Quantum ◽  
Quantum Mechanical Systems

The supersymmetric WKB (SWKB) condition is supposed to be exact for all known exactly solvable quantum mechanical systems with the shape invariance. Recently, it was claimed that the SWKB condition was not exact for the extended radial oscillator, whose eigenfunctions consisted of the exceptional orthogonal polynomial, even the system possesses the shape invariance. In this paper, we examine the SWKB condition for the two novel classes of exactly solvable systems: one has the multi-indexed Laguerre and Jacobi polynomials as the main parts of the eigenfunctions, and the other has the Krein–Adler Hermite, Laguerre and Jacobi polynomials. For all of them, one can always remove the [Formula: see text]-dependency from the condition, and it is satisfied with a certain degree of accuracy.

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