Compendium of Quantum Physics pp 434-440
Operational Quantum Mechanics, Quantum Axiomatics and Quantum Structures
Operational quantum mechanics and quantum axiomatics have their roots in a work of John von Neumann in collaboration with Garett Birkhoff, that is almost as old as quantum mechanics itself . Indeed already during the beginning years of quantum mechanics, the formalism that is now referred to as standard quantum mechanics , was thought to be too specific by the founding fathers themselves. One of the questions that obviously was at the origin of this early dissatisfaction is: ‘Why would a complex ► Hilbert space deliver the unique mathematical structure for a complete description of the microworld? Would that not be amazing? What is so special about a complex Hilbert space that its mathematical structure would play such a fundamental role?’
Unable to display preview. Download preview PDF.