marcus
Sep19-03, 05:29 PM
Loop and Paden have brought up Hardy's axioms of quantum theory
what do you think is usually meant by quantizing a classical (non-quantum) theory? And how does this connect to these axioms of what a quantum theory ought to be
Here is a mainstream summary description of what quantizing means:
(just quoting from a June 2002 paper by Bojowald)
"Quantization consists in turning functions on the phase space of a given classical system into operators acting on a Hilbert space associated with the quantized system.
To construct this map one selects a set of 'elementary' observables, like (q,p) in quantum mechanics, which
generate all functions on the phase space and form a subalgebra
of the classical Poisson algebra. This subalgebra has to be
mapped homomorphically into the quantum operator algebra, turning real observables into selfadjoint operators..."
what do you think is usually meant by quantizing a classical (non-quantum) theory? And how does this connect to these axioms of what a quantum theory ought to be
Here is a mainstream summary description of what quantizing means:
(just quoting from a June 2002 paper by Bojowald)
"Quantization consists in turning functions on the phase space of a given classical system into operators acting on a Hilbert space associated with the quantized system.
To construct this map one selects a set of 'elementary' observables, like (q,p) in quantum mechanics, which
generate all functions on the phase space and form a subalgebra
of the classical Poisson algebra. This subalgebra has to be
mapped homomorphically into the quantum operator algebra, turning real observables into selfadjoint operators..."