Lecture

Quantum Mechanics: Principles and Operators

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In course

CH-110: Advanced general chemistry I

Le cours comporte deux parties. Les bases de la thermodynamique des équilibres et de la cinétique des réactions sont introduites dans l'une d'elles. Les premières notions de chimie quantique sur les électrons et les liaisons chimiques, exemplifiées en chim ...

Description

This lecture introduces the principles of quantum mechanics, focusing on wave functions, electron density, and probability distributions. It covers the concept of expectation value, standard deviation, and operators in quantum mechanics, emphasizing the transition from classical to quantum descriptions of physical systems.

Instructors (7)

Marinella Mazzanti

Expertise Inorganic Chemistry, Coordination ChemistryF-elements Chemistry Teaching & PhD Past EPFL PhD Students Julie Renée Michelle Andrez, Marta Falcone, Radmila Faizova, Davide Toniolo, Luciano Barluzzi, Aurélien René Willauer, Nadir Jori, Dieuwertje Katelijn Modder, Hsueh Fang-Che, Keerthi Shivaraam Rangaraj Ananthakumar, Mikhail Batov Past EPFL PhD Students as codirector Andreichenko Andrei Courses Chemistry of f elements CH-427 The course will provide a synopsis of the chemistry of f e

Anne-Clémence Corminboeuf

Teaching & PhD PhD Students Liam Oliver Marsh, Pratham Pushparaj Deshmukh, Roel Christiaan M Raike, Thanapat Worakul, Osvaldo Hernandez Cuellar, Juliette Veronique Schleicher, Yannick Calvino Alonso, Sara Bassetta, Yuri Cho, Kelian Dietmar Marc Gaedecke, Guoyuan Liu Past EPFL PhD Students Fabrice Avaltroni, Daniel Filipe Jana, Stephan Niklaus Steinmann, Jérôme Florian Gonthier, Riccardo Petraglia, Antonio Prlj, Laurent Alexis Clément Vannay, Alberto Fabrizio, Kun-Han Lin, Boodsarin Sawatlon, Raimon Fabreg

Jérôme Waser

Jérôme Waser biography and CV's are available on the following website: http://lcso.epfl.ch/waser

Philippe Schwaller

Beat Fierz

Teaching & PhD PhD Students Paria Khalafi, Wei Cai, Pierre Alexander Miranda Herrera, Andrei Zhauniarovich, Matteo Nicolas Doudin, Zongqing Li, Enguerran Majerus, Po-Han Chang, Iana Berlina, Yuji Kamei Past EPFL PhD Students Aurore Marie-France Delachat, Sinan Kilic, Louise Catherine Bryan, Andreas Linus Bachmann, Ninad Dilip Agashe, Nora Guidotti, Maxime Nicolas Mivelaz, Kristina Makasheva, Alexandra Teslenko, Pauline Franz, Salome Riccarda Püntener, Ly Phillippe Past EPFL PhD Students as codirector Dani

Angela Steinauer

Since 2022: Head of the Laboratory of Biomolecular Engineering and Nanomedicine (LIBN), EPFL (Switzerland)2019-2021: MSCA Postdoctoral Fellow at ETHZ (Switzerland)2018: Ph.D. in Chemical Biology from Yale University (USA)2007-2012: B.Sc. & M.Sc. in Chemistry from University of Zurich (Switzerland) Teaching & PhD PhD Students Diogo Miguel De Abreu Viegas, Georges Barnikol, Oliver Dennis, Andrea Elizabeth Melgar Aguilar, Paula Oeser, Manutsawee Thanaburakorn Courses Advanced general chemistry I CH

Official source

Ontological neighbourhood

Statistics

Statistical inference: Mathematical statistics

Related concepts (31)

Probability distribution

In probability theory and statistics, a probability distribution is the mathematical function that gives the probabilities of occurrence of different possible outcomes for an experiment. It is a mathematical description of a random phenomenon in terms of its sample space and the probabilities of events (subsets of the sample space). For instance, if X is used to denote the outcome of a coin toss ("the experiment"), then the probability distribution of X would take the value 0.5 (1 in 2 or 1/2) for X = heads, and 0.

Average absolute deviation

The average absolute deviation (AAD) of a data set is the average of the absolute deviations from a central point. It is a summary statistic of statistical dispersion or variability. In the general form, the central point can be a mean, median, mode, or the result of any other measure of central tendency or any reference value related to the given data set. AAD includes the mean absolute deviation and the median absolute deviation (both abbreviated as MAD). Several measures of statistical dispersion are defined in terms of the absolute deviation.

Deviation (statistics)

In mathematics and statistics, deviation is a measure of difference between the observed value of a variable and some other value, often that variable's mean. The sign of the deviation reports the direction of that difference (the deviation is positive when the observed value exceeds the reference value). The magnitude of the value indicates the size of the difference. Errors and residuals A deviation that is a difference between an observed value and the true value of a quantity of interest (where true value denotes the Expected Value, such as the population mean) is an error.

Median absolute deviation

In statistics, the median absolute deviation (MAD) is a robust measure of the variability of a univariate sample of quantitative data. It can also refer to the population parameter that is estimated by the MAD calculated from a sample. For a univariate data set X1, X2, ..., Xn, the MAD is defined as the median of the absolute deviations from the data's median : that is, starting with the residuals (deviations) from the data's median, the MAD is the median of their absolute values. Consider the data (1, 1, 2, 2, 4, 6, 9).

Standard error

The standard error (SE) of a statistic (usually an estimate of a parameter) is the standard deviation of its sampling distribution or an estimate of that standard deviation. If the statistic is the sample mean, it is called the standard error of the mean (SEM). The sampling distribution of a mean is generated by repeated sampling from the same population and recording of the sample means obtained. This forms a distribution of different means, and this distribution has its own mean and variance.

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Jacques-Edouard Moser

Jacques-Edouard Moser is titular professor in physical chemistry and is currently directing the Group for Photochemical Dynamics (Moser Group) of EPFL. He is a graduate of the École polytechnique fédérale de Lausanne, where he received a diploma degree (MSc) in chemical engineering in 1982. After two stays in 1984 and 1985 at Concordia University in Montréal (Canada), he earned in 1986 his Ph.D. in physical chemistry at EPFL (Michael Grätzel, thesis advisor). In 1986, he joined the Eastman Kodak Corporate Research Laboratories at Rochester (NY, USA) as a postdoctoral fellow and was later associated with the NSF Center for Photoinduced Electron Transfer at the University of Rochester. Returning to Switzerland, he was appointed as a lecturer of physical chemistry at EPFL in 1992 and was awarded the habilitation and the venia legendi in 1998. He is titular professor since 2005.His research activity focuses on the study of the dynamics of photoinduced electron transfer and charge carrier separation at donor-acceptor heterojunctions and in nanostructured semiconductors. He is the author and co-author of ca 200 scientific papers (H-index 75). He currently teaches general physical chemistry to freshmen students in chemistry. He gives two classes on general- and redox photochemistry in the MSc program in chemistry and chemical engineering and the doctoral programs in energy and photonics. Jacques-E. Moser presided the Swiss Society of Photochemistry and Photophysics (1995-1998) and chaired the jury of the Grammaticakis-Neumann international prize in photochemistry (1999-2001). He was a member of the board of the Swiss Chemical Society (2007-2012). He served as a member of the standing committee of the European Photochemistry Association (1992-2000) and of the executive committee of the division for fundamental research of the Swiss Chemical Society (1999-2014). He was the director of the Section of Chemistry and Chemical Engineering of EPFL and a member of the direction of the School of Basic Sciences from 2007 to 2015.

Related concepts (31)

Probability distribution

Average absolute deviation

Deviation (statistics)

Median absolute deviation

Standard error