Morse oscillator
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1: 18.39 Applications in the Physical Sciences
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►Also presented are the analytic solutions for the , bound state, eigenfunctions and eigenvalues of the Morse oscillator which also has analytically known non-normalizable continuum eigenfunctions, thus providing an example of a mixed spectrum.
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► b) The Morse Oscillator
…The finite system of functions is orthonormal in , see (18.34.7_3).
…The corresponding eigenfunction transform is a generalization of the Kontorovich–Lebedev transform §10.43(v), see Faraut (1982, §IV).
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2: Bibliography N
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Eigenstates, coherent states, and uncertainty products for the Morse oscillator.
Phys. Rev. A (3) 19 (2), pp. 438–444.
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3: 12.17 Physical Applications
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►See Buchholz (1969, §4) and Morse and Feshbach (1953a, pp. 515 and 553).
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►Dean (1966) describes the role of PCFs in quantum mechanical systems closely related to the one-dimensional harmonic oscillator.
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►For this topic and other boundary-value problems see Boyd (1973), Hillion (1997), Magnus (1941), Morse and Feshbach (1953a, b), Müller (1988), Ott (1985), Rice (1954), and Shanmugam (1978).
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