Matches in SemOpenAlex for { <https://semopenalex.org/work/W2481996393> ?p ?o ?g. }
- W2481996393 endingPage "98" @default.
- W2481996393 startingPage "64" @default.
- W2481996393 abstract "Abstract Although there is no rigorous unitary transformation from Cartesian (p,q) to angle–action (I,α) variables, the actions are related to the quantum numbers by the Bohr correspondence, I = (n+δ)ℏ, while the angles determine approximate semiclassical wavefunctions of the form φn(α)=(2π)−1/2exp(inα) for all systems. The necessary transformations between (p,q) and (I,α) are derived for harmonic and morse oscillators, angular momentum and the hydrogen atom, in forms consistent with quantum mechanical phase conventions. Implications are drawn for the quantization of asymmetric tops and for the rich pattern of rotational level splittings of semi-rigid octahedral tops. The chapter concludes with the surprising recent finding that there can be no global angle–action system in the presence of an isolated fixed point of the Hamiltonian. The influence of the resulting ‘quantum monodromy’ on the characteristic level structure of quasi-linear molecules is described." @default.
- W2481996393 created "2016-08-23" @default.
- W2481996393 creator A5011264315 @default.
- W2481996393 date "2014-08-21" @default.
- W2481996393 modified "2023-09-22" @default.
- W2481996393 title "Angle–action variables" @default.
- W2481996393 cites W1494362380 @default.
- W2481996393 cites W1495669385 @default.
- W2481996393 cites W1514419678 @default.
- W2481996393 cites W1530628942 @default.
- W2481996393 cites W1535516033 @default.
- W2481996393 cites W1544461216 @default.
- W2481996393 cites W1549037739 @default.
- W2481996393 cites W1963562183 @default.
- W2481996393 cites W1963842803 @default.
- W2481996393 cites W1964258290 @default.
- W2481996393 cites W1965007881 @default.
- W2481996393 cites W1965164104 @default.
- W2481996393 cites W1966048890 @default.
- W2481996393 cites W1967097600 @default.
- W2481996393 cites W1967375727 @default.
- W2481996393 cites W1968383696 @default.
- W2481996393 cites W1969996155 @default.
- W2481996393 cites W1971151444 @default.
- W2481996393 cites W1971538352 @default.
- W2481996393 cites W1971997190 @default.
- W2481996393 cites W1972416632 @default.
- W2481996393 cites W1972530788 @default.
- W2481996393 cites W1973620669 @default.
- W2481996393 cites W1974628665 @default.
- W2481996393 cites W1975867145 @default.
- W2481996393 cites W1976878627 @default.
- W2481996393 cites W1976903651 @default.
- W2481996393 cites W1977780249 @default.
- W2481996393 cites W1978473840 @default.
- W2481996393 cites W1979231807 @default.
- W2481996393 cites W1979310283 @default.
- W2481996393 cites W1979320244 @default.
- W2481996393 cites W1980193329 @default.
- W2481996393 cites W1980477162 @default.
- W2481996393 cites W1981659415 @default.
- W2481996393 cites W1982220848 @default.
- W2481996393 cites W1982872540 @default.
- W2481996393 cites W1983161075 @default.
- W2481996393 cites W1983253561 @default.
- W2481996393 cites W1983467746 @default.
- W2481996393 cites W1983494573 @default.
- W2481996393 cites W1984152548 @default.
- W2481996393 cites W1985149702 @default.
- W2481996393 cites W1985526139 @default.
- W2481996393 cites W1986382011 @default.
- W2481996393 cites W1986463417 @default.
- W2481996393 cites W1986491764 @default.
- W2481996393 cites W1986504178 @default.
- W2481996393 cites W1987643345 @default.
- W2481996393 cites W1989739296 @default.
- W2481996393 cites W1990253514 @default.
- W2481996393 cites W1990625030 @default.
- W2481996393 cites W1991593806 @default.
- W2481996393 cites W1991611097 @default.
- W2481996393 cites W1991943211 @default.
- W2481996393 cites W1992067463 @default.
- W2481996393 cites W1994006347 @default.
- W2481996393 cites W1995106396 @default.
- W2481996393 cites W1995356107 @default.
- W2481996393 cites W1996586842 @default.
- W2481996393 cites W1997020071 @default.
- W2481996393 cites W1998078943 @default.
- W2481996393 cites W1998558019 @default.
- W2481996393 cites W1999354240 @default.
- W2481996393 cites W2001074385 @default.
- W2481996393 cites W2001149830 @default.
- W2481996393 cites W2001450403 @default.
- W2481996393 cites W2001639360 @default.
- W2481996393 cites W2001932305 @default.
- W2481996393 cites W2003158733 @default.
- W2481996393 cites W2004416684 @default.
- W2481996393 cites W2005214327 @default.
- W2481996393 cites W2005639785 @default.
- W2481996393 cites W2006616000 @default.
- W2481996393 cites W2007398725 @default.
- W2481996393 cites W2009309540 @default.
- W2481996393 cites W2011433215 @default.
- W2481996393 cites W2011443092 @default.
- W2481996393 cites W2011508391 @default.
- W2481996393 cites W2012000342 @default.
- W2481996393 cites W2012468823 @default.
- W2481996393 cites W2013414262 @default.
- W2481996393 cites W2013463440 @default.
- W2481996393 cites W2013940006 @default.
- W2481996393 cites W2014121670 @default.
- W2481996393 cites W2016722396 @default.
- W2481996393 cites W2017347148 @default.
- W2481996393 cites W2017909501 @default.
- W2481996393 cites W2019895122 @default.
- W2481996393 cites W2021485693 @default.
- W2481996393 cites W2023128463 @default.
- W2481996393 cites W2024051905 @default.