Operator of time and generalized Schrödinger equation

DOI10.1155/2018/6290982zbMath1404.81099arXiv1701.05244OpenAlexW2582949250MaRDI QIDQ1629258

Slobodan Prvanović

Publication date: 11 December 2018

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.05244

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20)

Cites Work

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• Simulating continuous-time Hamiltonian dynamics by way of a discrete-time quantum walk
• A self-adjoint arrival time operator inspired by measurement models
• The uncertainty principle as invariant of motion for time-dependent Hamiltonians
• Quantum Mechanical Operator of Time
• The derivation of time-dependent Schrödinger equations
• Time-dependent Hamiltonians with 100% evolution speed efficiency

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