Abstract
Abstract The transcription of the quasiparticle in the ideal space is studied for systems containing up to five quasiparticles. A way is found to introduce properly the Pauli exclusion principle and the states are completely antisymmetrized. The quasiparticle operators and their products appearing in the Hamiltonian are also transcribed in that space. The matrix elements of the products of quasiparticle operators evaluated in the ideal space are exactly the same as those evaluated in the quasiparticle space. This enables one to determine many anharmonic corrections.
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