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M. Juliana Carvalho, PhD

KHS 342
350 Victoria Street
Toronto, Ontario
M5B 2K3
416-979-5000 x7412


Collective Motion in Nuclear Physics, Algebraic Models, Schur Function Formalism. MAPLE as a tool for teaching Physics.


My research interests lie on the microscopic description of collective nuclear motion. Algebraic nuclear models, notably the Symplectic Model, are instrumental in facilitating the computation of observables and in providing physical insight into the results of calculations. The particular objectives are: (1) To develop efficient and accurate methods that make possible to perform microscopic calculations in the symplectic model (and sub-models) for light as well as heavy nuclei. Use of the generator coordinate method with a suitable choice of a generator basis leads to rapid a convergence of the observables. Work done on finding an optimal basis for 8Be represented the beginnings of an attempt to devise criteria which will enable the selection of optimized bases for other nuclei. It is further required an understanding of the physical significance of the generator parameters and of the role different symplectic irreps play in the description of collective dynamics. (2) To explore the S-function formalism as an algebraic tool with the objective to facilitate microscopic calculations in the symplectic model. S-functions have been mostly used up to now as labeling devices of model states. It is desirable to exploit the polynomial nature of these functions to express operators and states in terms of them and then take advantage of their known operations to simplify the evaluation of matrix elements of the observables. (3) To do calculations of inelastic form factors with mixed-symplectic irreps. These form factors are one of the best probes into the nature of collective rotational flows and nuclear moments of inertia.


“Duality relationships and supermultiplet symmetry in the O(8) pair-coupling model”, D. J. Rowe and M. J. Carvalho, J. Phys A: Math. Theor., 40 No.3 (19 January, 2007) 471-500.

“Optimal basis states for a microscopic calculation of vibrational wave functions of deformed rotational nuclei”, M.J. Carvalho, D.J . Rowe , C. Bahri and S. Karram, Nuc. Phys. A. 703 (2002), 167-187

“A Maple Program for Calculations with Schur Functions”, M.J. Carvalho and S. D’Agostino, Computer Physics Communications 141 (2001), 282-285

“Plethysms of Schur Functions and the Shell Model”; M.J. Carvalho and S. D’Agostino, J. Phys. A: Math. Gen. 34 (2001), 1375-1392

“Physical Significance of the Generator Coordinates Method Parameters” M.J. Carvalho, D.J . Rowe , C. Bahri and S. Karram, XXIV Symposium on Nuclear Physics, January 2001, Taxco, Mexico

“Transverse form factors in the collective and symplectic models” , M. J. Carvalho and D.J. Rowe, Nuclear Physics A 618 (1997), 65-86.

“A symplectic model calculation of transverse electr on scattering form factors for 24 Mg” , M. J. Carvalho, M.G. Vassanji and D.J. Rowe, Physics Letters B 318 (1993), 273-276.

“The Shell Model distribution of nuclear shapes”, M.J. Carvalho and D.J. Rowe, Nuclear Physics A 548 (1992), 1-28.

“Symmetrised Kronecker products of the fundamental representation of Sp(n,R)” , M. J. Carvalho, J. Phys. A. Math. Gen, 23 (1989), 1909-1927.

“The symplectic shell-model theory of collective states”, M.J. Carvalho, R. Le Blanc, M. Vassanji and D.J. Rowe, Nuclear Physics A 452 (1986) 240-262

“Picturing the oscillations of a mass-spring system”, M.J. Carvalho, Maple Summer Workshop, July 11-14, 2004, Waterloo, Ontario, Canada