Ground State Energy: Explanation & Calculation

Thread starter Tanmoy
Start date May 10, 2020
Tags

Energy Ground Ground state Ground state energy Hamiltonian State

In summary, ground state energy is the lowest possible energy level of an atom or molecule, calculated using quantum mechanics equations. It serves as a reference point for comparing energy levels and plays a crucial role in understanding the properties of matter. Ground state energy can only be changed by adding or removing energy and is a constant value for each atom or molecule. Excited states are temporary energy levels that are higher than the ground state and are created when an atom or molecule absorbs energy.

May 10, 2020

Tanmoy

Homework Statement: How to find ground state energy from given Hamiltonian?

Relevant Equations: H=bx^2/(2m)+ax^2+bx+c

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May 10, 2020

BvU

Science Advisor

Homework Helper

Hello @Tanmoy , :welcome:

!

Well, solve ##H\Psi = E\Psi## and see what energies the eigenfunctions are allowed to have !

We can't help you if you don't post an attempt at solution of your own, see:

https://www.physicsforums.com/threads/homework-help-guidelines-for-students-and-helpers.686781/

1. What is ground state energy?

Ground state energy refers to the lowest possible energy level that an atom or molecule can have. It is the state in which all the electrons are in their lowest possible energy levels and there is no excess energy present.

2. How is ground state energy calculated?

Ground state energy is calculated by solving the Schrödinger equation, which is a mathematical equation that describes the behavior of particles at the atomic and subatomic level. The solution to this equation gives the energy levels of the electrons in an atom or molecule, and the ground state energy is the lowest of these energy levels.

3. What factors affect the ground state energy of an atom?

The ground state energy of an atom is affected by the number of protons and neutrons in the nucleus, as well as the number of electrons and their arrangement in the atom's energy levels. It is also influenced by external factors such as temperature and pressure.

4. Why is ground state energy important?

Ground state energy is important because it provides a fundamental understanding of the behavior of atoms and molecules. It also serves as a reference point for comparing the energy levels of excited states and helps scientists predict the chemical and physical properties of substances.

5. Can ground state energy be observed?

No, ground state energy cannot be directly observed as it is a theoretical concept. However, its effects can be observed through spectroscopy, which measures the energy changes that occur when electrons move between different energy levels in an atom or molecule.