Binary operations in classical and quantum mechanics
Volume 59 / 2003
                    
                    
                        Banach Center Publications 59 (2003), 163-172                    
                                        
                        MSC: Primary 17B65, 81R10; Secondary 17B63, 37J99, 53D99, 70H99.                    
                                        
                        DOI: 10.4064/bc59-0-8                    
                                    
                                                Abstract
Binary operations on algebras of observables are studied in the quantum as well as in the classical case. It is shown that certain natural compatibility conditions with the associative product imply properties which are usually additionally required.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            