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- All Subjects: Thermodynamics
- Creators: Department of Physics
- Member of: Barrett, The Honors College Thesis/Creative Project Collection
- Resource Type: Text
This thesis attempts to explain Everettian quantum mechanics from the ground up, such that those with little to no experience in quantum physics can understand it. First, we introduce the history of quantum theory, and some concepts that make up the framework of quantum physics. Through these concepts, we reveal why interpretations are necessary to map the quantum world onto our classical world. We then introduce the Copenhagen interpretation, and how many-worlds differs from it. From there, we dive into the concepts of entanglement and decoherence, explaining how worlds branch in an Everettian universe, and how an Everettian universe can appear as our classical observed world. From there, we attempt to answer common questions about many-worlds and discuss whether there are philosophical ramifications to believing such a theory. Finally, we look at whether the many-worlds interpretation can be proven, and why one might choose to believe it.
The purpose of this paper is to provide an analysis of entanglement and the particular problems it poses for some physicists. In addition to looking at the history of entanglement and non-locality, this paper will use the Bell Test as a means for demonstrating how entanglement works, which measures the behavior of electrons whose combined internal angular momentum is zero. This paper will go over Dr. Bell's famous inequality, which shows why the process of entanglement cannot be explained by traditional means of local processes. Entanglement will be viewed initially through the Copenhagen Interpretation, but this paper will also look at two particular models of quantum mechanics, de-Broglie Bohm theory and Everett's Many-Worlds Interpretation, and observe how they explain the behavior of spin and entangled particles compared to the Copenhagen Interpretation.
We implemented the well-known Ising model in one dimension as a computer program and simulated its behavior with four algorithms: (i) the seminal Metropolis algorithm; (ii) the microcanonical algorithm described by Creutz in 1983; (iii) a variation on Creutz’s time-reversible algorithm allowing for bonds between spins to change dynamically; and (iv) a combination of the latter two algorithms in a manner reflecting the different timescales on which these two processes occur (“freezing” the bonds in place for part of the simulation). All variations on Creutz’s algorithm were symmetrical in time, and thus reversible. The first three algorithms all favored low-energy states of the spin lattice and generated the Boltzmann energy distribution after reaching thermal equilibrium, as expected, while the last algorithm broke from the Boltzmann distribution while the bonds were “frozen.” The interpretation of this result as a net increase to the system’s total entropy is consistent with the second law of thermodynamics, which leads to the relationship between maximum entropy and the Boltzmann distribution.
The photodissociation of 1-bromobutane is explored using pump-probe spectroscopy and time-of-flight mass spectrometry. Fragments of bromobutane are constructed computationally and theoretical energies are calculated using Gaussian 16 software. It is determined that the dissociation of bromine from the parent molecule is the most observed fragmentation pathway arising from the excitation of the ground state parent molecule to a dissociative A state using two 400 nm, 3.1 eV pump photons. The dissociation energy of this pathway is 2.91 eV, leaving 3.3 eV of energy that is redistributed into the product fragments as vibrational energy. C4H9 has the highest relative intensity in the mass spectrum with a relative intensity of 1.00. It is followed by C2H5 and C2H4 at relative intensities of 0.73 and 0.29 respectively. Because of the negative correlation between C4H9 and these two fragments at positive time delays, it is concluded that most of these smaller molecules are formed from the further dissociation of the fragment C4H9 rather than any alternative pathways from the parent molecule. Thermodynamic analysis of these pathways has displayed the power of thermodynamic prediction as well as its limitations as it fails to consider kinetic limitations in dissociation reactions.