Quartic Oscillator as a Basis for Energy Level Calculations of Some Anharmonic Oscillators

1964 ◽  
Vol 41 (9) ◽  
pp. 2828-2835 ◽  
Author(s):  
Sunney I. Chan ◽  
David Stelman ◽  
Larry E. Thompson
Keyword(s):  
Energy Level ◽  
Anharmonic Oscillators

Asymptotic behavior of the eigenenergies of anharmonic oscillators V(x) = x2N + bx2

2002 ◽  
Vol 80 (9) ◽  
pp. 959-968 ◽  
Author(s):  
A Nanayakkara ◽  
V Bandara
Keyword(s):  
Asymptotic Behavior ◽  
Energy Level ◽  
Asymptotic Expansions ◽  
Coupling Strength ◽  
Anharmonic Oscillator ◽  
Level Spacing ◽  
Anharmonic Oscillators ◽  
Analytic Expressions ◽  
Asymptotic Energy

Analytic semiclassical energy expansions of the anharmonic oscillator V(x) = x2N + bx2 are obtained for arbitrary N. These expressions contain the parameters b and N of the potential explicitly. Analytic expressions for energy level spacing are obtained and used to study the behavior of the eigenenergy level spacing for large energies. These expressions show that asymptotic energy level spacing of the potential V(x) = x2N + bx2 increases with the coupling strength b for N = 2 and 3, whereas it decreases for N > 3. Validity of the asymptotic expansions for noninteger N is discussed. PACS Nos.: 03.65Ge, 03.65Sq, 02.30Mv

Number of Steps Walked Predicts Energy Level, and Mood

2013 ◽  
Author(s):  
Robert E. Thayer ◽  
Olga Godes ◽  
Nicole E. Lobato ◽  
Marcelino Serrano ◽  
Jorge Hernandez ◽  
...  
Keyword(s):  
Energy Level
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