Student understanding of Fermi energy, the Fermi-Dirac distribution and total electronic energy of a free electron gas
arXiv:2006.04034 · doi:10.1088/1361-6404/ab537c
Abstract
We investigated the difficulties that physics students in upper-level undergraduate quantum mechanics and graduate students after quantum and statistical mechanics core courses have with the Fermi energy, the Fermi-Dirac distribution and total electronic energy of a free electron gas after they had learned relevant concepts in their respective courses. These difficulties were probed by administering written conceptual and quantitative questions to undergraduate students and asking some undergraduate and graduate students to answer those questions while thinking aloud in one-on-one individual interviews. We find that advanced students had many common difficulties with these concepts after traditional lecture-based instruction. Engaging with a sequence of clicker questions improved student performance, but there remains room for improvement in their understanding of these challenging concepts.
References in corpus (28)
- A Review of Student Difficulties in Upper-Level Quantum Mechanics
- Student understanding of quantum mechanics at the beginning of graduate instruction
- Surveying students' understanding of quantum mechanics in one spatial dimension
- Interactive learning tutorials on quantum mechanics
- Investigating Student Understanding of Quantum Mechanics: Spontaneous Models of Conductivity
- A Framework for Understanding the Patterns of Student Reasoning Difficulties in Quantum Mechanics
- Improving Students' Understanding of Quantum Mechanics via the Stern-Gerlach Experiment
- Improving Students' Understanding of Quantum Measurement Part 1: Investigation of Difficulties
- A new introductory quantum mechanics curriculum
- Categorization of Quantum Mechanics Problems by Professors and Students
- Interactive tutorial to improve student understanding of single photon experiments involving a Mach-Zehnder Interferometer
- Improving Students' Understanding of Quantum Measurement Part 2: Development of Research-based Learning Tools
- Student Difficulties with Quantum Mechanics Formalism
- Improving student understanding of addition of angular momentum in quantum mechanics
- Development and validation of a sequence of clicker questions for helping students learn addition of angular momentum in quantum mechanics
- Validation and Administration of a Conceptual Survey on the Formalism and Postulates of Quantum Mechanics
- Improving performance in quantum mechanics with explicit incentives to correct mistakes
- Helping Students Learn Quantum Mechanics for Quantum Computing
- Cognitive Issues in Learning Advanced Physics: An Example from Quantum Mechanics
- Assessing and improving student understanding of quantum mechanics
- Quantum interactive learning tutorial on the double-slit experiment to improve student understanding of quantum physics
- Transfer of Learning in Quantum Mechanics
- Improving Students' Understanding of Quantum Mechanics by Using Peer Instruction Tools
- Development of an interactive tutorial on quantum key distribution
- Effectiveness of interactive tutorials in promoting "which-path" information reasoning in advanced quantum mechanics
- Development and Evaluation of a Quantum Interactive Learning Tutorial on Larmor Precession Of Spin
- Students' Understanding of Stern Gerlach Experiment
- Improving student understanding of quantum mechanics underlying the Stern-Gerlach experiment using a research-validated multiple-choice question sequence
Cited by in corpus (6)
- Validation and Administration of a Conceptual Survey on the Formalism and Postulates of Quantum Mechanics
- Interactive Learning Tutorial on Quantum Key Distribution
- Challenges in addressing student difficulties with time-development of two-state quantum systems using a multiple-choice question sequence in virtual and in-person classes
- Challenges in addressing student difficulties with measurement uncertainty of two-state quantum systems using a multiple-choice question sequence in online and in-person classes
- Challenges in addressing student difficulties with basics and change of basis for two-state quantum systems using a multiple-choice question sequence in online and in-person classes
- Improving student understanding of quantum measurement in infinite-dimensional Hilbert space using a research-based multiple-choice question sequence