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On inferring quantum energies and expectation values
Affiliation:1. School of Renewable Energy Maejo University, Chiang Mai, Thailand;2. Institute of Green Products, Feng Chia University, Taiwan;3. Ph. D. Program of Mechanical and Aeronautical Engineering, Feng Chia University, Taiwan;4. Program in Biotechnology, Faculty of Science, Maejo University, Chiang Mai, Thailand;1. Tata Institute of Fundamental Research - Hyderabad, Sy. No 36/P Serilingampally Mandal, Gopanpally Village, Hyderabad, 500046, India;2. Department of Physics, Central University of Kerala, Kasaragod, 671316, India;3. Institute of Biological Interfaces (IBG-2), Karlsruhe Institute of Technology (KIT), P.O. Box 3640, 76021, Karlsruhe, Germany;1. Departamento de Biotecnología de Alimentos, Instituto de Agroquímica y Tecnología de Alimentos, Consejo Superior de Investigaciones Científicas (IATA-CSIC), Av. Agustín Escardino 7, 46980 Paterna, Valencia, Spain;2. Instituto de Investigación en Ciencias de la Alimentación, Consejo Superior de Investigaciones Científicas-Universidad Autónoma de Madrid (CIAL, CSIC-UAM), Nicolás Cabrera 9, 28049 Madrid, Spain;3. Unidad Mixta de Investigación Cerebrovascular, Instituto de Investigación Sanitaria La Fe, Av. Campanar 21, 46009 Valencia, Spain;4. Departamento de Fisiología, Universidad de Valencia, Av. Blasco Ibáñez 17, 46010 Valencia, Spain
Abstract:A maximum entropy-like inference approach is proposed that yields ground and excited states energies and expectation values without solving Schrödinger's equation. The method is tested with reference to the quartic anharmonic oscillator and other model potentials and yields good results without undue numerical effort.
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