Titlebook: Symmetries in Science VIII; Bruno Gruber Book 1995 Springer Science+Business Media New York 1995 Potential.algebra.hadron.kinematics.quant

SEVER

,Quantum Effect of Nonlinear Born—Infeld Field,ization method, because of the complicated nonlinearity. Even the path-integral quantization can hardly be applied to this field, because we cannot easily manipulate such a non-polynomial action. We have to invent a new quantization method if we want to quantize the Born-Infeld field.

慷慨不好

Frequency-Range

不能妥协

Quantum Mechanical Motions over the Group Manifolds and Related Potentials,entary transcendentals are related to the Lie groups, i.e., the one parameter Abelian Lie groups. The connection between the group representations and the special functions explains the mystrious properties of them, such as the recurance relations and addition theorems.

Forsake

Algebraic Shells and the Interacting Boson Model of the Nucleus,ed with the fernnion operators, an algebraic shell can be found which is a generalization of the standard shell. The algebraic shell states go over into the standard shell states on the quotient space of the Clifford algebra with respect to a left ideal generated by the identity operator . (which corresponds to the standard vacuum state).

NAV

Algebraic Theory of the Three-Body Problem,erential Schrodinger equation. In this article, an alternative formulation of the three-body is given, in terms of Lie algebras. This formulation provides a framework for detailed calculations and, most importantly, allows one to classify all solutions that can be obtained in closed form (exactly solvable problems).

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Some Aspects of , and ,-Boson Calculus,u1,1). The algorithm was fully exploited in ref. 3 where the complementary of three quantum algebras in a .deformation of the symplectic Lie algebra sp(8, ℝ) was used for producing 32 recursion relations.

脱水

Some Points in the Quantization of Relativistic Grassmann Dependent Interaction Systems,s of compatibilty on the wave function and in the equations themselves, which restrict the class of available potentials for the problem. Crater and Van Alstine translate the problem to the classical level and then they use the general theory of constraints to analyze it. They find that a supersymme

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鸵鸟

Recent Developments in the Application of Vector Coherent State Theory,” states. This VCS construction has been used for many of the mathematically natural group chains such as U(n) ⊃ U(n-1) x U(1) ⊃ U(n-2) x U(1) ⊃… for which the subgroup chain gives a complete labelling of the state vectors. The VCS construction leads to SU(n) Wigner coefficients which can be express