**signed**

## 1954 · [Paris]:

by MOSHINSKY Borodiansky, Marcos (1921-2009).

[Paris]:: Le Journal de Physique et le Radium, 1954., 1954. 8 offprints & 1 mimeograph. Original wrappers. From the collection of Abraham Pais. Very good. INVENTORY: 1. MOSHINSKY Borodiansky, Marcos (1921-2009). Forces Tensorielles Dependant de la Vitesse. Offprint from: Le Journal de Physique et le Radium, Tome 13, Novembre 1954, page 264. Signed by Pais. Moshinsky was a Mexican physicist of Ukrainian-Jewish origin whose work in the field of elementary particles won him the Prince of Asturias Prize for Scientific and Technical Investigation in 1988 and the UNESCO Science Prize in 1997. 2. MOSHINSKY Borodiansky, Marcos. Diffraction in Time. Offprint from: The Physical Review, Vol. 88, No. 3, pp. 625-631, November 1, 1952. Original turquoise printed wrappers. Signed by Pais. "In a previous note a dynamical description of resonance scattering was given, and transient terms appeared in the wave function describing the process. To understand the physical significance of these terms, the transient effects that appear when a shutter is opened are discussed in this paper. For a nonrelativistic beam of particles, the transient current has a close mathematical resemblance with the intensity of light in the Fresnel diffraction by a straight edge. This is the reason for calling the transient phenomena by the name of diffraction in time. The shutter problem is discussed for particles whose wave functions satisfy the Schrodinger equation, the ordinary wave equation, and the Klein-Gordon equation. Only for the Schrodinger time-dependent equation do the transient wave functions resemble the solutions that appear in Sommerfeld's theory of diffraction. The connection of transient phenomena with the time-energy uncertainty relation, and the interpretation of the transient current in a scattering process, are briefly discussed. The relativistic wave functions for the shutter problem may play an important role in the dynamical description of a relativistic scattering process." :: abstract. 3. MOSHINSKY Borodiansky, Marcos. Poles of the S Matrix for Resonance Reactions. Offprint from: The Physical Review, Vol. 91, No. 4, pp. 984-985, August 15, 1953. Signed by Pais. 4. MOSHINSKY Borodiansky, Marcos. Transformation Brackets for Harmonic Oscillator Functions. From: Nuclear Physics 13 (1959) 104-116; North Holland Publishing Co., Amsterdam. "We define the transformation brackets connecting the wave functions for two particles in an harmonic oscillator common potential with the wave functions given in terms of the relative and centre of mass coordinates of the two particles. With the help of these brackets we show that all matrix elements for the interaction potentials in nuclear shell theory can be given directly in terms of Talmi integrals. We obtain recurrence relations and explicit algebraic expressions for the transformation brackets that will permit their numerical evaluation" :: abstract. 5. MOSHINSKY Borodiansky, Marcos; BARGMANN, V.. Group Theory of Harmonic Oscillators. (I). The Collective Modes. From: Nuclear physics 18 (1960) 697-712; North-Holland Publishing Co., Amsterdam. "The present series of papers will deal with the classification of states of N particles moving in a harmonic oscillator common potential. In this paper we will be mainly concerned with the classification scheme that brings out a collective nature of the states. To obtain this collective behaviour, we take advantage of the invariance of the hamiltonian under both ordinary rotations and the unitary group inN dimensions." :: abstract. 6. MOSHINSKY Borodiansky, Marcos; BARGMANN, V. Group Theory of Harmonic Oscillators. (II). The Integrals of Motion for the Quadrupole-Quadrupole Interaction. From: Nuclear Physics 23 (1961) 177-199; North-Holland Publishing Co., Amsterdam. pp. 196-199 separated from staple. [reproduced copy]. 7. MOSHINSKY Borodiansky, Marcos. Wigner Coefficients for the SU3 Group and some Applications. Offprint from: Reviews of Modern Physics, Vol. 34, No. 4, pp. 813-828, October 1962. 8. MOSHINSKY Borodiansky, Marcos. Gelfand States and the Irreducible Representations of the Symmetric Group. Offprint from: Journal of Mathematical Physics, Volume 7, Number 4, pp. 691-698, April 1966. "The set of Gelfand states corresponding to a given partition [h1 . . . hn] form a basis for an irreducible representation of the unitary group Un. The special Gelfand states are defined as those for which [h1 . . . hn] is a partition of n and the weight is restricted to (11 . . . 1). We show that the special Gelfand states constitute basis for the irreducible representations of the symmetric group Sn and use this property to construct explicitly states in configuration and spin-isospin space with definite permutational symmetry." :: abstract. 9. MOSHINSKY Borodiansky, Marcos; Syamala Devi, V. General Approach to Fractional Parentage Coefficients. Offprint from: Journal of Mathematical Physics, Volume 10, Number 3, pp. 455-466, March 1969. Abstract: "The purpose of this paper is to achieve a clearer understanding of the problems involved in the determination of a closed formula for fractional parentage coefficients (fpc). The connection between the fpc and one?block Wigner coefficients of a unitary group of dimension equal to that of the number of states is explicitly derived. Furthermore, these Wigner coefficients are decomposed into ones characterized by a canonical chain of subgroups (for which an explicit formula is given) and transformation brackets from the canonical to the physical chain. It is in the explicit and systematic determination of the states in the latter chain where the main difficulty appears. We fully analyze the case of the p shell to show that a complete nonorthonormal set of states in the physical chain [upsilon] (3)?R(3) can be derived easily using Littlewood's procedure for the reduction of irreducible representations (IR) of SU(3) with respect to the subgroup R(3). This procedure gives a deeper understanding of the free exponent appearing in the polynomials in the creation operators defining the states in the [upsilon] (3)?R(3) chain. As Littlewood's procedure applies to the [upsilon] (n)?R(n) chain, and probably can be generalized to other noncanonical chains of groups, it opens the possibility of obtaining general closed formulas for the fpc in a nonorthonormal basis."/ Moshinsky was a Mexican Physicist of Ukrainian-Jewish origin. His discoveries in the field of particle physics won him the Prince of Asturias Prize in 1988 and the UNESCO Science Prize in 1997.
(Inventory #: S13311)