Showing papers on "Coherent states in mathematical physics published in 1978"
TL;DR: In this paper, the authors define coherent states for general potentials, requiring that they have the physically interesting properties of the harmonic-oscillator coherent states, and show that they obey a quantum approximation to the classical motion.
Abstract: We define coherent states for general potentials, requiring that they have the physically interesting properties of the harmonic-oscillator coherent states. We exhibit these states for several solvable examples and show that they obey a quantum approximation to the classical motion.
212 citations
39 citations
TL;DR: In this article, a new approach to Heisenberg ferromagnet using the spin coherent state representation is developed, which has noad hoc assumptions and does not use any boson representation.
Abstract: A new approach to Heisenberg ferromagnet using the spin coherent state representation is developed. The differential operator representation of spin angular momentum operators is used to derive thec-number analogs of the basic quantum mechanical equations, viz., the Schrodinger, Bloch and Liouville equations for the Heisenberg ferromagnet. As an important illustration of our formulation, which has noad hoc assumptions and does not use any boson representation, the excitation spectrum for one, two and three spin waves is obtained. In these cases it is also shown that eigenvalue spectrum can be obtained by completely ignoring the kinematical interactions.
7 citations
2 citations
TL;DR: In this article, a picture called the scattering picture was constructed combining the "nice" properties of both the interaction and the Heisenberg pictures, and the theory could be formulated in terms of a free Hamiltonian and an effective potential.
Abstract: For any conventional nonrelativistic quantum theory of a finite number of degrees of freedom, we construct a picture which we call ’’the scattering picture,’’ combining the ’’nice’’ properties of both the interaction and the Heisenberg pictures, and show that, in the absence of bound states, the theory could be formulated in terms of a free Hamiltonian and an effective potential. We generalize the equations thus derived to the relativistic case and show that, given a Poincare invariant self‐adjoint operator D densely defined on a Fock space, there exists an interacting field which is asymptotically free and has as the scattering matrix the nontrivial operator S=eiD, provided that D annihilates the vacuum and the one‐particle states. Crossing relations could easily be imposed on D, but, apart from a few comments, the problem of analyticity of S is left open.
1 citations