Examples of quantum mechanics

M. Arık, T. Rador, R. M. Mir‐Kasimov

The relativistic finite-difference SUSY Quantum Mechanics (QM) is developed. We show that it is connected in a natural way with the q-deformed SUSY Quantum Mechanics. Simple examples are given.

William W. Kennerly

Franklin E. Schroeck

We review the problems with quantum mechanics. We then obtain the theory of quantum mechanics on phase space which is immune to these problems. We give some examples which are not treatable with the "ordinary" quantum mechanics.

E. B. Davies

We construct a very simple example of a statistical system which satisfies almost all of the axioms used by various authors in the quantum logic approach to the foundations of quantum mechanics. Since the example is not quantum mechanical, it is seen that present arguments are a long way from characterising quantum mechanics in terms of a set of physically meaningful axioms.