On Saturday, October 5, 2019 at 6:49:42 PM UTC-5, Brent wrote: > > > > On 10/5/2019 11:16 AM, Philip Thrift wrote: > > > > On Saturday, October 5, 2019 at 10:17:20 AM UTC-5, Brent wrote: >> >> >> >> On 10/4/2019 11:31 PM, Philip Thrift wrote: >> >> >> >> On Friday, October 4, 2019 at 6:22:07 PM UTC-5, Brent wrote: >>> >>> >>> You can't deny >>> Hilbert space and keep MWI. >>> >>> >>> Brent >>> >>> >> >> >> QMT is neither (defined by) Hilbert space nor (MWI) many worlds. >> >> >> https://arxiv.org/pdf/1809.10427.pdf : >> >> Quantum Measure Theory (QMT) , at its basis, takes probability measure >> theory and weakly extends it to accommodate quantum interference. Whilst >> the usual “Hilbert space, operators and wavefunctions” formulation of >> quantum mechanics will predict probabilities, they are restricted to >> “operator at some time”-based events, and the theory is thus unable to >> answer inherently spacetime questions and lacks a description without >> observers. >> >> In contrast [to Hilbert space, operators and wavefunctions], QMT, which >> was constructed with the spacetime model of causal sets in mind, uses >> spacetime objects – histories – as the basis of its theory, and does not >> feature any observer dependence or any collapse mechanic. The use of >> histories also allows us to treat quantum and classical objects similarly, >> keeping the theory general and applicable to many systems. What a history >> exactly is depends >> on the system being studied, but in general it will be a full (spacetime) >> description of a system’s evolution. ... In addition, whilst Hilbert space >> quantum mechanics uses the Hamiltonian and collapse for its dynamics, in >> QMT we use the quantum measure, which measures the sum of quantum >> interferences between pairs of histories in an event. >> >> @philipthrift >> >> >> Calculate the energy levels of the hydrogen atom. >> >> >> Brent >> > > > > > QMT probabilities (quababilities) are calculated via path integrals. > > https://arxiv.org/pdf/gr-qc/9401003.pdf > > @philipthrift > > > *ENERGY LEVELS.* > > Brent >
Differentiable-Path Integrals in Quantum Mechanics https://arxiv.org/abs/1404.6551 Path Integral of Coulomb System http://users.physik.fu-berlin.de/~kleinert/public_html/kleiner_reb5/psfiles/pthic13.pdf Energy levels and expectation values via accelerated path integral Monte Carlo https://iopscience.iop.org/article/10.1088/1742-6596/128/1/012062/pdf etc. @philipthrift -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To view this discussion on the web visit https://groups.google.com/d/msgid/everything-list/11aabf16-0e9c-4790-88ab-600ee6ae006a%40googlegroups.com.
