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Quantum Conditional Stochastic Processes
Stan Gudder
Quantum mechanics contains certain novel mathematical concepts. Among these are complex numbers, Hilbert spaces with their unitary and self-adjoint operators, states represented by…
Geometric Algebras and Fermion Quantum Field Theory
Stan Gudder
Corresponding to a finite dimensional Hilbert space with , we define a geometric algebra $\gscript (H)$ with $\dim\sqbrac{\gscript (H)}=2^n$. The algebra $\gscript (H…
Uncertainty of Quantum States
Stan Gudder
The uncertainty of a quantum state is given by the composition of two components. The first is called the quantum component and is given by the probability distribution of an obser…
Finite Classical and Quantum Effect Algebras
Stan Gudder
In this article, we only consider finite effect algebras. We define the concepts of classical and quantum effect algebras and show that an effect algebra is classical if and on…
Finite (quantum) effect algebras
Stan Gudder, Teiko Heinosaari
We investigate finite effect algebras and their classification. We show that an effect algebra with elements has at least and at most nontrivial defined su…
Quantum Transition Probabilities
Stan Gudder
Transition probabilities are an important and useful tool in quantum mechanics. However, in their present form, they are limited in scope and only apply to pure quantum states. In…