Extending coherent state transforms to Clifford analysis
... spaces of functions (or sections of an appropriate line bundle) on a manifold X to spaces of square integrable holomorphic functions (or sections) on XC. It is natural to consider higher dimensional extensions of X based on Clifford algebras as they could be useful in studying quantum systems with i ...
... spaces of functions (or sections of an appropriate line bundle) on a manifold X to spaces of square integrable holomorphic functions (or sections) on XC. It is natural to consider higher dimensional extensions of X based on Clifford algebras as they could be useful in studying quantum systems with i ...
Path Integral Formulation of Quantum Mechanics
... In (2.13) L(~r, ~r˙ , t) is the Lagrangian of the classical particle. However, in complete distinction from Classical Mechanics, expressions (2.12, 2.13) are built on action integrals for all possible paths, not only for the classical path. Situations which are well described classically will be dis ...
... In (2.13) L(~r, ~r˙ , t) is the Lagrangian of the classical particle. However, in complete distinction from Classical Mechanics, expressions (2.12, 2.13) are built on action integrals for all possible paths, not only for the classical path. Situations which are well described classically will be dis ...
