ListarCiencias básicas por tema "Quantum mechanics in phase space"
Mostrando ítems 1-7 de 7
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Algebras of distributions suitable for phase-space quantum mechanics. III. The dual space of the algebra L_b(S)
(1989-09)The strong dual space of the topological algebra L_b(S), where S is the Schwartz space of smooth declining functions on R, may be obtained as an inductive limit of projective limits of Hilbert spaces. To that end, we ... -
Algebras of distributions suitable for phase‐space quantum mechanics. I
(1988-06-04)The twisted product of functions on R^2N is extended to a *-algebra of tempered distributions which contains the rapidly decreasing smooth functions, the distributions of compact support, and all polynomials, and moreover ... -
Algebras of distributions suitable for phase‐space quantum mechanics. II. Topologies on the Moyal algebra
(1988-06-04)The topology of the Moyal *-algebra may be defined in three ways: the algebra may be regarded as an operator algebra over the space of smooth declining functions either on the configuration space or on the phase space ... -
On asymptotic expansions of twisted products
(1989-12)The series development of the quantum-mechanical twisted product is studied. The series is shown to make sense as a moment asymptotic expansion of the integral formula for the twisted product, either pointwise or in the ... -
Phase-space representation for Galilean quantum particles of arbitrary spin
(1988-09)The phase-space approach to quantization is extended to incorporate spinning particles with Galilean symmetry. The appropriate phase space is the coadjoint orbit R^6 x S^2. From two basic principles, traciality and ... -
Quadratic Hamiltonians in phase-space quantum mechanics
(1989-07)The dynamical evolution is described within the phase-space formalism by means of the Moyal propagator, which is the symbol of the evolution operator. Quadratic Hamiltonians on the phase space are distinguished in that ... -
The Stratonovich-Weyl correspondence: A general approach to Wigner functions
(1989)A formalism is proposed for developing phase-space representations of elementary quantum systems under general invariance groups. Several examples are discussed, including the usual Weyl calculus, the Moyal formulation ...