BASIC FORMALISM AND EXTENSIONS OF QUANTUM MECHANICS

2021 ◽  
pp. 205-238
Author(s):  
Wayne C. Myrvold

This chapter examines the role played by probabilities on each of the major approaches to understanding quantum mechanics. It is argued that the sorts of considerations brought up in previous chapters, having to do with limitations on precise knowledge of physical states, and the result of applying dynamical evolution to agents’ degrees of belief about those states, have a part to play on each of those approaches. The chapter includes an introduction to the basic formalism of quantum mechanics.


1993 ◽  
Vol 08 (23) ◽  
pp. 2213-2221 ◽  
Author(s):  
MARCELO R. UBRIACO

We show that a quantum deformation of quantum mechanics given in a previous work is equivalent to quantum mechanics on a nonlinear lattice with step size ∆x=(1−q)x. Then, based on this, we develop the basic formalism of quantum group Schrödinger field theory in one spatial quantum dimension, and explicitly exhibit the SU q(2) covariant algebras satisfied by the q-bosonic and q-fermionic Schrödinger fields. We generalize this result to an arbitrary number of fields.


Author(s):  
Gennaro Auletta ◽  
Mauro Fortunato ◽  
Giorgio Parisi
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