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2a(r+s+t angular momentum atomic body problem body-fixed Bose gas BOSON TRIMER calculated center of mass Chapter column of Table commutation relations composite particle cosY cyclic exchange drdsdt electrons equilateral triangle Euler angles exchange effects exchange restrictions exchange symmetries exchange terms excl fermion trimer FOOTNOTES gives Green's function ground state energy H H H hard sphere harmonic oscillator interaction interparticle coordinates kinetic energy L. W. Bruch motion MYRON LAWRENCE CRAMER N-particle Numerical analysis operators pair exchange pair-potential PARTICLE STATISTICS permutation Phys Quantum Mechanics QUANTUM STATISTICAL R. L. Hall representation rH rH rH rigid rotor rotational eigenstate Schroedinger equation sinY space-fixed Spin-y square well potential STATISTICAL MECHANICS symmetric thermal wavelength thesis three particles threshold binding parameter tion trial wavefunction trimer spin trimer wavefunction two-body upper bound variational energy vibrational volume integral Yukawa potential