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Variational-calculus
New post in Variational-calculus
Derivation of Dirac equation using the Lagrangian density for Dirac field
June 3rd, 2020
lagrangian-formalism
variational-principle
dirac-equation
variational-calculus
homework-and-exercises
Can we find the boundary conditions of fields from the stationary action principle?
December 12th, 2021
variational-calculus
action
field-theory
variational-principle
relativity
Why are generalized positions and generalized velocities considered as independent of each other?
August 1st, 2022
classical-mechanics
lagrangian-formalism
variational-calculus
Does a four-divergence extra term in a Lagrangian density matter to the field equations?
March 13th, 2022
variational-calculus
variational-principle
lagrangian-formalism
functional-derivatives
boundary-conditions
What's the variation of the Christoffel symbols with respect to the metric?
September 4th, 2020
variational-calculus
homework-and-exercises
general-relativity
differential-geometry
metric-tensor
Is the Lagrangian density a functional or a function?
January 17th, 2020
variational-calculus
definition
field-theory
lagrangian-formalism
Functional derivative and variation of action $S$ vs Lagrangian $L$ vs Lagrangian density $\mathcal{L}$ vs Lagrangian 4-form $\mathbf{L}$
August 26th, 2020
functional-derivatives
variational-calculus
field-theory
lagrangian-formalism
general-relativity
Why is that in the action principle, the Taylor's series is limited to the first order?
August 29th, 2020
variational-calculus
approximations
variational-principle
differentiation
lagrangian-formalism
Use partial or covariant derivatives when deriving equations of a field theory?
February 2nd, 2020
differential-geometry
functional-derivatives
variational-calculus
field-theory
lagrangian-formalism
How to find the Lagrangian of this system?
May 24th, 2020
differential-equations
classical-mechanics
lagrangian-formalism
variational-calculus
variational-principle
Is the shorthand $ \partial_{\mu} $ strictly a partial derivative in field theory?
August 4th, 2020
differentiation
lagrangian-formalism
field-theory
notation
variational-calculus
How to calculate second-order variations of an action?
June 1st, 2020
homework-and-exercises
variational-calculus
action
field-theory
lagrangian-formalism
Variation of the Christoffel symbols with respect to $g^{\mu\nu}$
August 12th, 2022
differential-geometry
general-relativity
lagrangian-formalism
metric-tensor
variational-calculus
The derivation of fractional equations
October 21st, 2020
lagrangian-formalism
mathematical-physics
differentiation
variational-calculus
non-locality
The dynamical variables in Lagrangian formalism
May 26th, 2020
action
variational-calculus
degrees-of-freedom
lagrangian-formalism
coordinate-systems
What is the relation between (physicists) functional derivatives and Fréchet derivatives
August 26th, 2020
variational-calculus
functional-derivatives
differentiation
mathematical-physics
Introductory texts for functionals and calculus of variation
February 21st, 2020
functional-derivatives
mathematical-physics
resource-recommendations
variational-calculus
Where can I find the full derivation of Helfrich's shape equation for closed membranes?
June 26th, 2020
soft-matter
variational-calculus
specific-reference
energy
Rigorous definition of the variation
March 26th, 2021
variational-calculus
general-relativity
variational-principle
field-theory
mathematical-physics
Calculus of variations -- how does it make sense to vary the position and the velocity independently?
August 1st, 2022
classical-mechanics
lagrangian-formalism
differentiation
variational-principle
variational-calculus
Variation of the metric with respect to the metric
December 13th, 2020
general-relativity
metric-tensor
conventions
variational-calculus
degrees-of-freedom
Rigorous underpinnings of infinitesimals in physics
September 14th, 2020
mathematical-physics
calculus
variational-calculus
Dynamics of a rotating coin
June 29th, 2020
variational-calculus
newtonian-mechanics
rotational-dynamics
Derivation of Euler-Lagrange equations for Lagrangian with dependence on second order derivatives
August 1st, 2022
variational-calculus
action
boundary-conditions
variational-principle
lagrangian-formalism
Why is the shape of a hanging chain not a "V"?
August 18th, 2020
statics
newtonian-mechanics
string
variational-calculus
Lagrangian Mechanics - Commutativity Rule $\frac{d}{dt}\delta q=\delta \frac{dq}{dt} $
August 1st, 2022
classical-mechanics
lagrangian-formalism
variational-calculus
differentiation
variational-principle
Why treat complex scalar field and its complex conjugate as two different fields?
June 25th, 2020
complex-numbers
variational-calculus
field-theory
lagrangian-formalism
quantum-field-theory
Given the Lagrangian density, how do I find the equations of motions for fields?
December 2nd, 2020
field-theory
variational-calculus
homework-and-exercises
electromagnetism
lagrangian-formalism
Understanding Derivation of Euler-Lagrange
August 31st, 2020
variational-calculus
homework-and-exercises
lagrangian-formalism
variational-principle
action
Why is a cycloid path the fastest way to roll a ball downward?
December 15th, 2020
variational-calculus
newtonian-gravity
newtonian-mechanics
brachistochrone-problem
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