A namespace to hold special relativistic functions. More...

Functions
static Real	gamma_from_p (const Real m, const Real p)
	Compute Lorentz factor from rest mass and momentum.

static Real	gamma_from_T (const Real m, const Real T)
	Compute Lorentz factor from rest mass and kinetic energy.

static Real	gamma_from_E (const Real m, const Real E)
	Compute Lorentz factor from rest mass and total energy.

static Real	p_from_gamma (const Real m, const Real gamma)
	Compute momentum from rest mass and Lorentz factor.

static Real	p_from_T (const Real m, const Real T)
	Compute momentum from rest mass and kinetic energy.

static Real	p_from_E (const Real m, const Real E)
	Compute momentum from rest mass and total energy.

static Real	T_from_gamma (const Real m, const Real gamma)
	Compute kinetic energy from rest mass and Lorentz factor.

static Real	T_from_p (const Real m, const Real p)
	Compute kinetic energy from rest mass and momentum.

static Real	E_from_gamma (const Real m, const Real gamma)
	Compute total energy from rest mass and Lorentz factor.

static Real	E_from_p (const Real m, const Real p)
	Compute total energy from rest mass and momentum.

static Real	dT_dp (const Real m, const Real p)
	Compute derivative of kinetic energy with respect to momentum.

static Real	v_from_p (const Real m, const Real p)
	Compute velocity from momentum.

static Real	gamma_from_p (const partTypes::pType pt, const Real p)
	Compute Lorentz factor from particle type and momentum.

static Real	gamma_from_T (const partTypes::pType pt, const Real T)
	Compute Lorentz factor from particle type and kinetic energy.

static Real	p_from_gamma (const partTypes::pType pt, const Real gamma)
	Compute momentum from particle type and Lorentz factor.

static Real	p_from_T (const partTypes::pType pt, const Real T)
	Compute momentum from particle type and kinetic energy.

static Real	T_from_gamma (const partTypes::pType pt, const Real gamma)
	Compute kinetic energy from particle type and Lorentz factor.

static Real	T_from_p (const partTypes::pType pt, const Real p)
	Compute kinetic energy from particle type and momentum.

static Real	dT_dp (const partTypes::pType pt, const Real p)
	Compute derivative of kinetic energy with respect to momentum.

static Real	v_from_p (const partTypes::pType pt, const Real p)
	Compute particle velocity from particle type and momentum.

static Real	ECM (const Real mt, const Real mp, const Real T)
	Compute center of mass energy for collision with fixed target.

static Real	ECM (const partTypes::pType ptt, const partTypes::pType ptp, const Real T)
	Compute center of mass energy for collision with fixed target.

Detailed Description

A namespace to hold special relativistic functions.

Function Documentation

◆ dT_dp() [1/2]

static Real criptic::sr::dT_dp	(	const partTypes::pType	pt,
		const Real	p
	)

inlinestatic

Compute derivative of kinetic energy with respect to momentum.

Parameters

pt	Particle type
p	Particle momentum

Returns: Derivative of kinetic energy with respect to momentum

◆ dT_dp() [2/2]

static Real criptic::sr::dT_dp	(	const Real	m,
		const Real	p
	)

inlinestatic

Compute derivative of kinetic energy with respect to momentum.

Parameters

m	Particle rest mass
p	Particle momentum

Returns: Derivative of kinetic energy with respect to momentum

◆ E_from_gamma()

static Real criptic::sr::E_from_gamma	(	const Real	m,
		const Real	gamma
	)

inlinestatic

Compute total energy from rest mass and Lorentz factor.

Parameters

m	Particle rest mass
gamma	Particle Lorentz factor

Returns: Particle kinetic energy

◆ E_from_p()

static Real criptic::sr::E_from_p	(	const Real	m,
		const Real	p
	)

inlinestatic

Compute total energy from rest mass and momentum.

Parameters

m	Particle rest mass
p	Particle momentum

Returns: Particle kinetic energy

◆ ECM() [1/2]

static Real criptic::sr::ECM	(	const partTypes::pType	ptt,
		const partTypes::pType	ptp,
		const Real	T
	)

inlinestatic

Compute center of mass energy for collision with fixed target.

Parameters

ptp	Particle type of projectile
ptt	Particle type of target
T	Kinetic energy of moving particle

◆ ECM() [2/2]

static Real criptic::sr::ECM	(	const Real	mt,
		const Real	mp,
		const Real	T
	)

inlinestatic

Compute center of mass energy for collision with fixed target.

Parameters

mp	Mass of projectile
mt	Mass of target
T	Kinetic energy of moving particle

◆ gamma_from_E()

static Real criptic::sr::gamma_from_E	(	const Real	m,
		const Real	E
	)

inlinestatic

Compute Lorentz factor from rest mass and total energy.

Parameters

m	Particle rest mass
E	Particle total energy

Returns: The Lorentz factor

◆ gamma_from_p() [1/2]

static Real criptic::sr::gamma_from_p	(	const partTypes::pType	pt,
		const Real	p
	)

inlinestatic

Compute Lorentz factor from particle type and momentum.

Parameters

pt	Particle type
p	Particle momentum

Returns: The Lorentz factor

◆ gamma_from_p() [2/2]

static Real criptic::sr::gamma_from_p	(	const Real	m,
		const Real	p
	)

inlinestatic

Compute Lorentz factor from rest mass and momentum.

Parameters

m	Particle rest mass
p	Particle momentum

Returns: The Lorentz factor

◆ gamma_from_T() [1/2]

static Real criptic::sr::gamma_from_T	(	const partTypes::pType	pt,
		const Real	T
	)

inlinestatic

Compute Lorentz factor from particle type and kinetic energy.

Parameters

pt	Particle type
T	Particle kinetic energy

Returns: The Lorentz factor

◆ gamma_from_T() [2/2]

static Real criptic::sr::gamma_from_T	(	const Real	m,
		const Real	T
	)

inlinestatic

Compute Lorentz factor from rest mass and kinetic energy.

Parameters

m	Particle rest mass
T	Particle kinetic energy

Returns: The Lorentz factor

◆ p_from_E()

static Real criptic::sr::p_from_E	(	const Real	m,
		const Real	E
	)

inlinestatic

Compute momentum from rest mass and total energy.

Parameters

m	Particle rest mass
E	Particle energy

Returns: Particle momentum

◆ p_from_gamma() [1/2]

static Real criptic::sr::p_from_gamma	(	const partTypes::pType	pt,
		const Real	gamma
	)

inlinestatic

Compute momentum from particle type and Lorentz factor.

Parameters

pt	Particle type
gamma	Particle Lorentz factor

Returns: Particle momentum

◆ p_from_gamma() [2/2]

static Real criptic::sr::p_from_gamma	(	const Real	m,
		const Real	gamma
	)

inlinestatic

Compute momentum from rest mass and Lorentz factor.

Parameters

m	Particle rest mass
gamma	Particle Lorentz factor

Returns: Particle momentum

◆ p_from_T() [1/2]

static Real criptic::sr::p_from_T	(	const partTypes::pType	pt,
		const Real	T
	)

inlinestatic

Compute momentum from particle type and kinetic energy.

Parameters

pt	Particle type
T	Particle kinetic energy

Returns: Particle momentum

◆ p_from_T() [2/2]

static Real criptic::sr::p_from_T	(	const Real	m,
		const Real	T
	)

inlinestatic

Compute momentum from rest mass and kinetic energy.

Parameters

m	Particle rest mass
T	Particle kinetic energy

Returns: Particle momentum

◆ T_from_gamma() [1/2]

static Real criptic::sr::T_from_gamma	(	const partTypes::pType	pt,
		const Real	gamma
	)

inlinestatic

Compute kinetic energy from particle type and Lorentz factor.

Parameters

pt	Particle type
gamma	Particle Lorentz factor

Returns: Particle kinetic energy

◆ T_from_gamma() [2/2]

static Real criptic::sr::T_from_gamma	(	const Real	m,
		const Real	gamma
	)

inlinestatic

Compute kinetic energy from rest mass and Lorentz factor.

Parameters

m	Particle rest mass
gamma	Particle Lorentz factor

Returns: Particle kinetic energy

◆ T_from_p() [1/2]

static Real criptic::sr::T_from_p	(	const partTypes::pType	pt,
		const Real	p
	)

inlinestatic

Compute kinetic energy from particle type and momentum.

Parameters

pt	Particle type
p	Particle momentum

Returns: Particle kinetic energy

◆ T_from_p() [2/2]

static Real criptic::sr::T_from_p	(	const Real	m,
		const Real	p
	)

inlinestatic

Compute kinetic energy from rest mass and momentum.

Parameters

m	Particle rest mass
p	Particle momentum

Returns: Particle kinetic energy

◆ v_from_p() [1/2]

static Real criptic::sr::v_from_p	(	const partTypes::pType	pt,
		const Real	p
	)

inlinestatic

Compute particle velocity from particle type and momentum.

Parameters

pt	Particle type
p	Particle momentum

Returns: Particle velocity

◆ v_from_p() [2/2]

static Real criptic::sr::v_from_p	(	const Real	m,
		const Real	p
	)

inlinestatic

Compute velocity from momentum.

Parameters

m	Particle rest mass
p	Particle momentum

Returns: Particle velocity

Functions

Detailed Description

Function Documentation

◆ dT_dp() [1/2]

◆ dT_dp() [2/2]

◆ E_from_gamma()

◆ E_from_p()

◆ ECM() [1/2]

◆ ECM() [2/2]

◆ gamma_from_E()

◆ gamma_from_p() [1/2]

◆ gamma_from_p() [2/2]

◆ gamma_from_T() [1/2]

◆ gamma_from_T() [2/2]

◆ p_from_E()

◆ p_from_gamma() [1/2]

◆ p_from_gamma() [2/2]

◆ p_from_T() [1/2]

◆ p_from_T() [2/2]

◆ T_from_gamma() [1/2]

◆ T_from_gamma() [2/2]

◆ T_from_p() [1/2]

◆ T_from_p() [2/2]

◆ v_from_p() [1/2]

◆ v_from_p() [2/2]