  The paper is an extension of quant-ph/9912102. The new framework is tested on
the 2-photon spontaneous emission and blackbody radiation. The new effects are
rather subtle. The probability of the 2-photon emission is shown to consist of
a product of several terms: One which is identical to this from standard
quantum optics and the remaining ones formally resembling detector
inefficiencies (here arising from nontrivial vacuum structure). The blackbody
distribution is indistinguishable from the Planck law for T<T_{critical} but
for T>T_{critical} the maximum of the distribution gets lowered and shifts
towards higher frequencies. T_{critical} is a parameter that, in principle,
should be observable. No normal ordering of operators is needed and vacuum
energy is nonzero but finite. Vacuum is represented by a subspace spanned by
ground states of the oscillators and is not equivalent to the cyclic vector of
the GNS construction. The non-CCR algebra is discussed in more detail.
